Relevant bibliographies by topics / Material and Geometrical Nonlinearity Effects

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Material and Geometrical Nonlinearity Effects'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Material and Geometrical Nonlinearity Effects"

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Budiman, H. T., and P. A. Lagace. "Nondimensional Parameters for Geometric Nonlinear Effects in Pressurized Cylinders With Axial Cracks." Journal of Applied Mechanics 64, no. 2 (June 1, 1997): 401–7. http://dx.doi.org/10.1115/1.2787322.

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The effects of geometric nonlinearity on the response of axially cracked cylindrical shells under internal pressure are investigated in a general way. Using the Donnell-Mushtari-Vlasov nonlinear shell equations, the nonlinear response is shown to depend on two nondimensional parameters: the geometrical parameter λ, which is a function of the cylinder geometries and crack length, and the loading parameter η, which depends on the applied pressure, material properties, and cylinder geometries. To assess the applicability of such parameters, nonlinear analyses of different cylindrical configurations were performed using the STAGS finite element code. The results show that the two parameters are able to characterize the nonlinear response of such cylinders. Effects of nonlinearity are then presented in the form of an iso-nonlinear plot showing the percentage difference between the linear and nonlinear stress intensification factors. Using the iso-nonlinear plot, the importance of geometric nonlinearity can thus be assessed once the cylinder geometries, loading parameters, and material properties are known.
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Luo, Xu, Xin Sha Fu, Li Xiong Gu, and Lu Rong Cai. "Nonlinear Stability Analysis of Long-Span Suspension Bridge Cable Tower." Advanced Materials Research 1030-1032 (September 2014): 802–6. http://dx.doi.org/10.4028/www.scientific.net/amr.1030-1032.802.

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The cable tower is the bearing component of long-span suspension bridges, and its structure is very high and bear large force, which determines the stability and is the key of safety control. As for the height of the main tower of a long-span suspension bridge up to 195.3 m, the finite element software ANSYS is used to establish a three-dimensional finite element model (FEM), and the effects of geometric nonlinearity and material nonlinearity on the stability of the main tower are analyzed. The calculation results show that geometrical nonlinearity and material defects have significant influence on the main tower stability, and the nonlinear stability should be considered under wind load in the design calculation.
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Phuong, Nguyen Thi, Vu Hoai Nam, Nguyen Thoi Trung, Vu Minh Duc, and Pham Van Phong. "Nonlinear Stability of Sandwich Functionally Graded Cylindrical Shells with Stiffeners Under Axial Compression in Thermal Environment." International Journal of Structural Stability and Dynamics 19, no. 07 (June 26, 2019): 1950073. http://dx.doi.org/10.1142/s0219455419500731.

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The geometrically nonlinear response of sandwich functionally graded cylindrical shells reinforced by orthogonal and/or spiral stiffeners and subjected to axial compressive loads is investigated in this paper. Two types of sandwich functionally graded material models are considered. The formulations are based on the Donnell shell theory considering geometrical nonlinearity and Pasternak’s elastic foundation. The improved Lekhnitskii’s smeared stiffener technique is used to account for the stiffener effects with both mechanical and thermal stresses. The results obtained indicate that the spiral stiffeners have significantly beneficial influences in comparison with orthogonal stiffeners on the nonlinear buckling behavior of shells. The relatively large effects of temperature change, geometrical and material parameters are also demonstrated in the numerical investigations.
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Brunesi, Emanuele, and Roberto Nascimbene. "Effects of structural openings on the buckling strength of cylindrical shells." Advances in Structural Engineering 21, no. 16 (March 15, 2018): 2466–82. http://dx.doi.org/10.1177/1369433218764625.

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Computational models, which follow numerical assessment strategies codified by current European rules for shell buckling, were developed so as to study the buckling and post-buckling response of a large set of cylindrical steel thin-shell prototypes with structural openings. Behavioural changes as a consequence of variations in the cutout configuration, that is, shape, size, location and number, were predicted and the obtained numerical estimates were related to the test data of previous experiments in order to explore critical design aspects. Damage modes and axial force–axial displacement response curves were presented and discussed, decoupling the roles played by material nonlinearity and geometrical nonlinearity, as well as the contribution of initial geometrical imperfections to the buckling mechanism of axially compressed cylindrical thin shells.
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Cong, Pham Hong, Pham Thi Ngoc An, and Nguyen Dinh Duc. "Nonlinear stability of shear deformable eccentrically stiffened functionally graded plates on elastic foundations with temperature-dependent properties." Science and Engineering of Composite Materials 24, no. 3 (May 1, 2017): 455–69. http://dx.doi.org/10.1515/secm-2015-0225.

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AbstractThis article investigates the nonlinear stability of eccentrically stiffened moderately thick plates made of functionally graded materials (FGM) subjected to in-plane compressive, thermo-mechanical loads. The equilibrium and compatibility equations for the moderately thick plates are derived by using the first-order shear deformation theory of plates, taking into account both the geometrical nonlinearity in the von Karman sense and initial geometrical imperfections, temperature-dependent properties with Pasternak type elastic foundations. By applying the Galerkin method and using a stress function, the effects of material and geometrical properties, temperature-dependent material properties, elastic foundations, boundary conditions, and eccentric stiffeners on the buckling and post-buckling loading capacity of the eccentrically stiffened moderately thick FGM plates in thermal environments are analyzed and discussed.
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Feng, Xiu Ling, Meng Shen, Xiang Ya Kong, Jie Zhang, and Peng Fei Luo. "Study on Flexural Stiffness Reduction Factor of Reinforced Concrete Column with Equiaxial T Shaped Section." Applied Mechanics and Materials 351-352 (August 2013): 319–24. http://dx.doi.org/10.4028/www.scientific.net/amm.351-352.319.

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The reduced stiffness method had been adopted to evaluate the material nonlinearity characteristics of reinforced concrete structures to be in compliance with concrete structure standards of the United States, New Zealand and Canada. Concrete structure design code in China also accepts the reduced stiffness method as a supplementary method of considering the second-order effects problem. However, the concrete structure with specially shaped columns code of China still use amplified coefficients of eccentricity to consider nonlinearity characteristics of reinforced concrete structure with special shaped columns. Based on the numerical integral method, a flexural stiffness reduction factor is proposed to consider characteristics of material nonlinearity and geometrical nonlinearity of reinforced concrete columns with equiaxial T shaped section.
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Marius, Foguieng Wembe, Mambou Ngueyep Luc Leroy, and Ngapgue François. "Modeling and Numerical Analysis in 3D of Anisotropic and Nonlinear Mechanical Behavior of Tournemire Argillite under High Temperatures and Dynamic Loading." Scientific World Journal 2020 (June 23, 2020): 1–20. http://dx.doi.org/10.1155/2020/2978257.

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This work proposes a model that takes into account the anisotropy of material with its inhomogeneity and geometrical and material nonlinearities. According to Newton’s second law, the investigations were carried out on the simultaneous effects of mechanical load and thermal treatment on the Tournemire argillite material. The finite difference method was used for the numerical resolution of the problem by the MATLAB 2015a software in order to determine the peak stress and strain of argillite as a function of material nonlinearity and demonstrated the inhomogeneity parameter Ω. The critical temperature from which the material damage was pronounced is 500°C. Indeed, above this temperature, the loss of rigidity of argillite reduced significantly the mechanical performance of this rock. Therefore, after 2.9 min, the stress reduction in X or Y direction was 75.5% with a peak stress value of 2500 MPa, whereas in Z direction, the stress reduction was 74.1% with a peak stress value of 1998 MPa. Meanwhile, knowing that the material inhomogeneity was between 2995 and 3256.010, there was an increase in peak stress of about 75%. However, the influence of the material nonlinearity was almost negligible. Thus, the geometrical nonlinearity allows having the maximal constant strain of about 1.25 in the direction of the applied dynamic mechanical force.
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Tzou, H. S., and Y. Bao. "Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part 1: Nonlinear Anisotropic Piezothermoelastic Shell Laminates." Journal of Vibration and Acoustics 119, no. 3 (July 1, 1997): 374–81. http://dx.doi.org/10.1115/1.2889733.

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Nonlinear characteristics, either material or geometrical nonlinearity, and temperature variations can significantly influence the performance and reliability of piezoelectric sensors, actuators, structures, and systems. This paper is intended to examine the nonlinear piezothermoelastic characteristics and temperature effects of piezoelectric laminated systems, and it is divided into two parts. Part 1 is concerned with a mathematical modeling of nonlinear anisotropic piezothermoelastic shell laminates and Part 2 is a study of static and dynamic control of a nonlinear piezoelectric laminated circular plate subjected to mechanical, electric, and temperature excitations. Geometric nonlinearity induced by large deformations is considered in both parts. A generic nonlinear piezothermoelastic shell lamination theory is proposed and its nonlinear thermo-electromechanical equations are derived based on Hamilton’s principle. Thermo-electromechanical couplings among the elastic, electric, and temperature fields are discussed, and nonlinear components identified. Applications of the nonlinear theory to other materials, continua, sensors, actuators, and linear systems are discussed.
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Thi Phuong, Nguyen, Vu Hoai Nam, and Dang Thuy Dong. "Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment." Journal of Sandwich Structures & Materials 22, no. 4 (June 12, 2018): 1157–83. http://dx.doi.org/10.1177/1099636218782645.

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A semi-analytical approach to investigate the nonlinear vibration axisymmetric analysis of functionally graded sandwich shallow spherical caps under external pressure resting on elastic foundation in thermal environment is presented. The governing equations are derived by using the first-order shear deformation theory taking into account von Karman geometrical nonlinearity and Pasternak’s two-parameter elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using Runge–Kutta method. Results of nonlinear dynamic responses show the effects of foundation, material, geometric parameters, and temperature change on the nonlinear vibration of shells.
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Zhang, Zheng, Jin Ping Zhuang, Xue Chao Chen, and Zhi Bin Wang. "Analysis on In-Plane Seismic Performance of Aluminium Beams under Cyclic Bending." Advanced Materials Research 1049-1050 (October 2014): 365–68. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.365.

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The in-plane mechanical properties of aluminium beams under cyclic bending were analyzed and contrasted to those of steel beams. In order to carry out research on in-plane seismic performance of aluminium beams, a finite element analysis method was presented. The method was based on general FEA software, ANSYS. The analysis method considered the effects of material nonlinearity and geometrical nonlinearity. On this basis, hysteretic curves and reversal skeleton curves of 6061-T6 aluminium beams, 6061-T4 aluminium beams and Q235 steel beams under cyclic bending were get and contrasted. The analysis shows that the in-plane seismic performance of the aluminium beams is similar with the low carbon steel beams and is notably influenced by material properties.
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Dissertations / Theses on the topic "Material and Geometrical Nonlinearity Effects"

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Metin, Tolga. "A Parametric Study On The Influence Of Semi-rigid Connection Nonlinearity On Steel Special Moment Frames." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615725/index.pdf.

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In practice, steel frames are analyzed and designed by assuming all beam to column connections as either rigid or simple. In real life, there are no such idealizations as rigid or simple and all connections would actually belong to a group of connections named as semi rigid connections. Various difficulties exist in modeling an accurate non-linear behavior of a steel structure, where one of these challenges is the modeling of semi-rigid behavior of connections. A detailed finite element model would take into account the complex interaction between all surfaces due to contact, friction and bolt pretension besides the material and geometrical nonlinearity effects. All these nonlinearity effects could be simply lumped as a moment-rotation type model at the connection region. Such a methodology is followed in this thesis and the main aim is to study the lumped nonlinear behavior of steel semi-rigid connections on the overall structural responses of steel Special Moment Frames. In this thesis three, nine and fifteen story steel Special Moment Frames are analyzed and designed as rigid frames first, and then the frames are reanalyzed considering non-linear effects due to semi-rigid connections. Changes in the ductility and overstrength reduction factors obtained from pushover curves are compared between the rigid and semi rigid modeling alternatives.
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Braun, Michael Rainer. "Characterization of nonlinearity parameters in an elastic material with quadratic nonlinearity with a complex wave field." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26566.

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Thesis (M. S.)--Civil and Environmental Engineering, Georgia Institute of Technology, 2009.
Committee Chair: Jacobs, Laurence; Committee Co-Chair: Qu, Jianmin; Committee Member: DesRoches, Reginald. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Butt, Saba Sohail. "Geometrical and material effects on sensory properties of confectionery wafers and similar extruded products." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/51503.

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The aim of this research is to determine if products made via the two cooking processes named are producing materials with similar properties thus resulting in a similar consumer perception or whether two fundamentally different products are being obtained. The presented work investigates the correlations between mechanical behaviour, fracture response, microstructure, acoustic emissions and sensory evaluation of a wide range of products made via the extrusion and baking processes. The internal microstructure of the products was examined with a Scanning electron Microscope (SEM). A notable difference between the distributions of the cells was observed between the two products; the wafer comprised of separate skin and core regions with variable pore sizes whereas a more uniform distribution of the pores was present in the extruded products. The mechanical behaviour of both, the extruded and baked, products was characteristic of brittle foam. The extruded products were all found to be stiffer materials in compression when compared to the baked wafers and the extruded products were found to be less anisotropic when compared to baked wafers. Analytical models were used to determine the actual mechanical properties of baked wafer and it was concluded that taking the geometry of the baked wafer into account was essential in finding accurate properties. Sensory, acoustic and mechanical testing results were successfully compared to draw links between the structure-property-texture of the different food products. X-ray Micro tomography (XRT) was used to attain a stack of image slices of the extruded tube architecture which was used to create Finite Element (FE) model of the product volume. Representative Volume Element study was conducted and the ‘crushable foam’ material model was implemented on the FE model to study the microstructure behaviour under compressive loading. The model of the complex architecture was able to predict the deformation behaviour of the extruded product. For future study, the FE models can be used to modify the microstructure to perform parametric studies to quantify the effect of individual geometric variables i.e. pore diameter, on the global response.
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Waidemam, Leandro. "Formulação do método dos elementos de contorno para placas enrijecidas considerando-se não-linearidades física e geométrica." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-10092008-102729/.

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Este trabalho tem como objetivo principal apresentar formulações do método dos elementos de contorno que contemplem as análises de placas considerando-se as não-linearidades física e geométrica e de placas enrijecidas considerando-se o comportamento não-linear físico do material. As equações integrais utilizadas são baseadas na teoria de Kirchhoff para flexão de placas delgadas, sendo o efeito não-linear geométrico modelado a partir da teoria de Von Kármán. Os efeitos não-lineares físicos são introduzidos no sistema a partir da consideração de um campo de tensões iniciais, com a avaliação das regiões plastificadas realizada a partir do critério elastoplástico de von Mises com encruamento isótropo linear e particularizado para o estado plano de tensão. A formulação dos enrijecedores é efetuada de forma alternativa, com o painel enrijecido considerado como um todo e submetido a campos de momentos e forças normais iniciais para induzir o ganho de rigidez. Apenas a parcela de enrijecimento na direção longitudinal do enrijecedor é considerada. O sistema de equações algébricas é obtido a partir da discretização estrutural com elementos de contorno isoparamétricos lineares. Para a consideração dos efeitos de domínio da placa são utilizadas células triangulares com funções de aproximação linear. Já as integrais no domínio dos enrijecedores são transformadas em integrais no contorno dos mesmos, com as variáveis escritas apenas no seu eixo longitudinal. Toda a solução do sistema não-linear de equações é obtida a partir de uma formulação implícita, sendo os operadores tangentes consistentes explicitados ao longo do trabalho. Por fim, vários exemplos são apresentados de forma a validar o correto desenvolvimento das formulações propostas.
In this work a boundary element method formulation to analyse plates with combined geometrical and material nonlinearities was presented. Additionally an alternative boundary element method formulation was presented to analyse material nonlinear reinforced plates. The boundary integral equations are derived based on Kirchhoff\'s theory. An initial stress field and von Kármán hypothesis are considered to take into account the material and geometrical nonlinearities, respectively. The elastoplastic von Mises criterion with linear isotropic hardening and particularized to the plane stress condition is considered to evaluate the plastic zone. The effects of the reinforcements are taken into account by using a simplified scheme based on applying an initial stress field to correct locally the bending and stretching stiffness of the reinforcement regions. Only bending and stretching rigidities in the direction of the reinforcements are considered. Isoparametric linear elements are used to approximate the boundary unknown values and triangular internal cells with linear shape functions are used to evaluate the plate domain value influences. The domain integrals due to the presence of the reinforcements are transformed to the reinforcement/plate interface. The nonlinear system of equations is solved by using an implicit scheme together with the consistent tangent operator presented along this paper. Finally, several examples are presented to confirm the correct development of the proposed formulations.
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Paula, Cristina Ferreira de. "Contribuição ao estudo das respostas numéricas não-lineares estática e dinâmica de estruturas reticuladas planas." Universidade de São Paulo, 2001. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-31032016-164210/.

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O trabalho trata da formulação e implementação numérica de modelos matemáticos do comportamento de estruturas considerando-se as não-linearidades física e geométrica. O equilíbrio na posição deslocada é formulado via Princípio dos Trabalhos Virtuais, empregando-se o método dos elementos finitos para a discretização espacial das estruturas e busca de soluções aproximadas. Inicialmente destaca-se com base no caso de treliças planas o emprego de medidas de deformação e tensão conjugadas energeticamente. Particularizando-se a formulação geral do equilíbrio para os pórticos planos apresenta-se uma análise crítica das formulações lagrangiana total e atualizada. Em seguida, tendo-se em vista aplicações às estruturas em concreto armado, aborda-se o comportamento não-linear físico pela mecânica do dano em meios contínuos, empregando-se os modelos de dano para o concreto propostos por Mazars e La Borderie. Estendem-se os estudos do comportamento estrutural não-linear físico (dano) e geométrico incorporando-se a análise dinâmica. Utiliza-se para integração no domínio do tempo o método implícito de Newmark combinado com o procedimento incremental e iterativo de Newton-Raphson. O amortecimento é levado em conta por meio da regra de Rayleigh. Exemplos consistindo de análises não lineares estática e dinâmica de estruturas reticulares planas compõem numéricas. Os resultados obtidos ilustram o desempenho e as potencialidades das formulações empregadas.
The formulation and numerical implementation of mathematical models of the structural behavior of plane frames considering material and geometrical nonlinearities are treated in this work. The Principle of Virtual Work is presented in order to characterize the equilibrium in the displaced position. The structure is discretized by the finite element method. Plane trusses analysis is performed in order to show how important it is to take into account the strain and stress tensors energetically conjugated. Being particularized, the general equilibrium formulation for the plane frames a critical analysis of the total and updated lagrangian formulations is presented. The material nonlinear behavior is modeled by continuum damage mechanics by using both Mazars and La Boderie\'s damage models. The nonlinear analysis is extended including the dynamic response of the reinforced concrete plane frames. The usual iterative Newton-Raphson technique is used combined with implicit Newmark method in order to carry out the integration at time. The damping is introduced by means of the Rayleigh\'s rule. Numerical analysis by a suitable computer program show the theoretical results considering static and dynamic response of plane frames.
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Hjalmarsson, Joel, and Anes Memic. "FE Analysis of axial-bearing in large fans : FE analys av axialkullager i stora fläktar." Thesis, Linnaeus University, School of Engineering, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-6663.

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Detta examensarbete har utförts på Fläktwoods AB i Växjö, som producerar stora axialfläktar för olika industriapplikationer. Syftet är att öka kunskapen om fettsmorda axiella kullager genom FE analyser.

Projektet har genomförts i fem delsteg för att avgöra påverkan av en eller några få parametrar i taget. De studerade parametrarna är: elementstorlek, kontaktstyvhet, last, lagergeometri (dvs. oskulation), ickelinjär geometri och ickelinjära materialegenskaper (dvs. plasticitet).

Slutsatsen är att elementstorleken bör väljas fint nog för att ge ett jämnt resultat men grovt nog för att beräkningstiden skal vara rimlig. Kontaktstyvheten har inte stor, men tydlig, inverkan på kontakttrycket och penetrationen. Förändringar av oskulationen leder till förändringar i kontaktellipsens form medan olika laster inte påverkar formen på ellipsen, utan snarare storleken. När det handlar om plasticitet är sträckgränsen den viktigaste faktorn att beakta.


This thesis project was carried out at Fläktwoods AB in Växjö who produces large axial fans for different industry applications. The purpose is to increase the knowledge of grease lubricated axial ball bearings through FE analyses.

The project was executed into five sub steps to determine the influence of one or few parameters at a time. The studied parameters are: mesh density, contact stiffness, load, bearing geometry (i.e. osculation), geometrical nonlinearity and material nonlinearity (i.e. plasticity).

It is concluded that the mesh density should be selected fine enough to give a smooth result but course enough to give a reasonable calculation time. The contact stiffness has not a major, but a clear, impact on the contact pressure and penetration. Changes of the osculation lead to changes of the contact ellipse shape and applying different load level does not affect the shape of the ellipse but rather the size. When dealing with plasticity the yield strength is the most important factor to take in consideration.

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Uhrig, Matthias Pascal. "Numerical simulation of nonlinear Rayleigh wave beams evaluating diffraction, attenuation and reflection effects in non-contact measurements." Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54368.

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Although several studies have proven the accuracy of using a non-contact, air-coupled receiver in nonlinear ultrasonic (NLU) Rayleigh wave measurements, inconsistent results have been observed when working with narrow specimens. The objectives of this research are first, to develop a 3D numerical finite element (FE) model which predicts nonlinear ultrasonic measurements and second, to apply the validated model on the narrow waveguide to determine causes of the previously observed experimental issues. The commercial FE-solver ABAQUS is used to perform these simulations. Constitutive law and excitation source properties are adjusted to match experiments conducted, considering inherent effects of the non-contact detection, such as frequency dependent pressure wave attenuation and signal averaging. Comparison of “infinite” and narrow width simulations outlines various influences which impair the nonlinear Rayleigh wave measurements. When the wave expansion is restricted, amplitudes of the fundamental and second harmonic components decrease more significantly and the Rayleigh wavefronts show an oscillating interaction with the boundary. Because of the air-coupled receiver’s finite width, it is sensitive to these edge effects which alter the observed signal. Thus, the narrow specimen adversely affects key factors needed for consistent measurement of material nonlinearity with an air-coupled, non-contact receiver.
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Hokeš, Filip. "Statická a dynamická analýza předpjaté mostní konstrukce." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2014. http://www.nusl.cz/ntk/nusl-226802.

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The main objective of the thesis is to perform static and dynamic analysis of prestressed concrete bridge structures in computational system ANSYS. For the analysis was chosen footbridge over the river Svratka in Brno. In relation to this topic are solved various types of modeling prestress at a finite element level. Before analyzing the footbridge is analyzed in detail the static system and the corresponding final geometry of the structure. Knowledge of the functioning of the static system is used to build the computational model of the structure, on which is subsequently performed static and dynamic analysis.
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Lorenz, Michael. "Berechnungsmodelle zur Beschreibung der Interaktion von bewegtem Sägedraht und Ingot." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-130678.

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Die vorliegende Arbeit widmet sich der Aufgabe makroskopische Berechnungsmodelle zur Beschreibung des Drahtsägens zu erarbeiten. Ziel ist es, die wesentlichen Effekte abzubilden und den Einfluss von Prozessparametern auf die Dynamik des Systems zu bestimmen. Ein zentraler Punkt ist die Modellierung des bewegten Sägedrahtes. Durch die dem Kontinuum an den Auflagern aufgeprägte Führungsbewegung sind einerseits die Randbedingungen und andererseits ortsfest auf den Draht wirkende Lasten nichtmateriell. Die korrekte kinematische Beschreibung dieses Sachverhaltes ist essentielle Grundlage für die spätere Anwendung des Prinzips von HAMILTON. Durch die Führungsbewegung, die Formulierung der Kontaktkräfte als Folgelasten und durch explizit zeitabhängige Systemparameter ergibt sich ein kompliziertes Systemverhalten. Die dargestellten Berechnungsergebnisse umfassen Studien zu stationären Lagen, die Berechnung von Eigenfrequenzen, Stabilitätsnachweise des dynamischen Grundzustandes, die Bestimmung von Zeitlösungen und die Simulation des Materialabtrages beim Einschnitt
The aim of the present thesis is to generate macroscopic models to describe the wire sawing process. The principal purpose is to illustrate basic effects and to investigate the influence of important process parameters relating to the dynamics of the system. A fundamental point is the modeling of the moving wire. Because of the axially movement of the continuum the boundary conditions and spatial acting loads are non-material. The precise kinematical description of this issue is the pre-condition for the correct evaluation of HAMILTON’s principle to characterize the dynamics of the system. The resultant complex system behavior is a consequence of the movement of the wire, of the formulation of the contact forces as follower loads and of explicitly time-dependent model parameters. The results of research contain studies of steady state equilibrium solutions and the proof of their LJAPUNOW stability, the calculation of eigenfrequencies, steady state time solutions under harmonically oscillating contact forces and the simulation of the material removal during the cutting process
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Kuzmanovic, Aleksandar. "Preliminary Design of Slender Reinforced Concrete Highway Bridge Pier Systems." Thesis, 2014. http://hdl.handle.net/1807/65569.

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Feasible span-to-depth ratios for many modern bridge systems have been identified and documented in literature. No such parameters have been adequately identified in terms of proportioning bridge piers. This thesis includes a study of 22 existing reinforced concrete highway bridges and their respective pier systems to determine the state-of-the-art in design. The effect of different geometric and material parameters such as concrete strength, reinforcement ratio and slenderness ratio on the structural behavior of individual piers and multiple pier systems was examined. Approximate methods, which may be used for the purposes of preliminary design are discussed and reviewed. Serviceability and ultimate limit states design aids that can be used to identify appropriate preliminary cross-sectional pier dimensions and reinforcement ratios for individual piers given various slenderness ratios were developed. The structural behavior as well as an approach to the preliminary design of multiple pier bridge systems is presented.
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Books on the topic "Material and Geometrical Nonlinearity Effects"

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Westheimer, Gerald. The Shifted-Chessboard Pattern as Paradigm of the Exegesis of Geometrical-Optical Illusions. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0036.

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The shifted chessboard or café wall illusion yields to analysis at the two poles of the practice of vision science: bottom-up, pursuing its course from the visual stimulus into the front end of the visual apparatus, and top-down, figuring how the rules governing perception might lead to it. Following the first approach, examination of the effects of light spread in the eye and of nonlinearity and center-surround antagonism in the retina has made some inroads and provided partial explanations; with respect to the second, principles of perspective and of continuity and smoothness of contours can be evoked, and arguments about perception as Bayesian inference can be joined. Insights from these two directions are helping neurophysiologists in their struggle to identify a neural substrate of the phenomenon Münsterberg described in 1897.
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Book chapters on the topic "Material and Geometrical Nonlinearity Effects"

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Panin, Viktor E., Valery E. Egorushkin, and Natalya S. Surikova. "Influence of Lattice Curvature and Nanoscale Mesoscopic Structural States on the Wear Resistance and Fatigue Life of Austenitic Steel." In Springer Tracts in Mechanical Engineering, 225–43. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60124-9_11.

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AbstractThe gauge dynamic theory of defects in a heterogeneous medium predicts the nonlinearity of plastic flow at low lattice curvatureand structural turbulence with the formation of individual dynamic rotations at high curvature of the deformed medium. The present work is devoted to the experimental verification of the theoretical predictions. Experimentally studied are the influence of high-temperature radial shear rolling and subsequent cold rolling on the internal structure of metastable Fe–Cr–Mn austenitic stainless steel, formation of nonequilibrium ε- and α′-martensite phases, appearance of dynamic rotations on fracture surfaces, fatigue life in alternating bending, and wear resistance of the material. Scratch testing reveals a strong increase in the damping effect in the formed hierarchical mesosubstructure. The latter is responsible for a nanocrystalline grain structure in the material, hcp ε martensite and bcc α′ martensite in grains, a vortical filamentary substructure on the fracture surface as well as for improved high-cycle fatigue and wear resistance of the material. This is related to a high concentration of nanoscale mesoscopic structural states, which arise in lattice curvature zones during high-temperature radial shear rolling combined with smooth-roll cold rolling. These effects are explained by the self-consistent mechanical behavior of hcp ε-martensite laths in fcc austenite grains and bcc α′-martensite laths that form during cold rolling of the steel subjected to high-temperature radial shear rolling.
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Duan, J., and Y. Li. "Thermal effects on the geometric nonlinearity of beam structures." In Energy, Environment and Green Building Materials, 135–38. CRC Press, 2015. http://dx.doi.org/10.1201/b18511-30.

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Lohar, Hareram, Anirban Mitra, and Sarmila Sahoo. "Effect of Boundary Conditions and Taper Patterns on Geometrically Nonlinear Frequency Response of Axially Graded Beams on Elastic Foundation." In Handbook of Research on Advancements in Manufacturing, Materials, and Mechanical Engineering, 110–40. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-4939-1.ch006.

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Forced vibration analysis is performed on a tapered axially functionally graded beam resting on elastic foundation under externally applied harmonic excitations to present the effect of boundary conditions and taper patterns on the frequency response. The elastic foundation is modelled in the present analysis as Winkler foundation. A displacement based semi-analytical method is adopted for mathematical formulation and the derivation of governing equations is carried out following Hamilton's principle. Von Karman nonlinear strain-displacement relation employed to incorporate geometric nonlinearity. Broyden method is adopted to solve the nonlinear set of equations. Frequency response curves are plotted in non-dimensional frequency-amplitude plane to represent nonlinear forced vibration characteristic of the system. New benchmark results are also provided for different combination of system parameters (i.e., excitation amplitudes, foundation stiffness values, material models, taper patterns, and flexural boundary conditions). Operational deflection shapes (ODS) are also presented.
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Salje, E. K. H., and G. Lu. "Introduction to Domain Boundary Engineering." In Domain Walls, 109–28. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862499.003.0005.

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This chapter introduces research on functional domain boundaries. Ever since the discovery of superconducting twin boundaries in the 1990s, highly conducting, polar, photovoltaic, magnetic, and so on, domain boundaries have been discovered while the same bulk material displays none of these properties. Domain boundaries constitute planar templates for device applications with thicknesses of ca. 1 nm. Domains within domains are then the next step in miniaturization with Bloch lines within domain walls and Bloch points between Bloch lines. In the overwhelming majority of cases, the geometrical template for the functional domain boundaries stems from the ferroelastic domain structure, while antiphase boundaries are equally potential template providers. Complex structures are a particular case because they add vortices and skyrmions to the template topology. Correlations between such sub-structures maintain features like polarity and piezoelectricity in randomized samples where structural averages would not allow macroscopic polar effects. The dynamics of the change of functionality is often much faster than the speed with which twin boundaries move. The novel information carrier is the kink inside twin walls, which moves with supersonic speed.
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Newnham, Robert E. "Nonlinear phenomena." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0017.

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The physical properties discussed thus far are linear relationships between two measured quantities. This is only an approximation to the truth, and often not a very good approximation, especially for materials near a phase transformation. A more accurate description can be obtained by introducing higher order coefficients. To illustrate nonlinearity we discuss electrostriction, magnetostriction, and higher order elastic, and dielectric effects. These phenomena are described in terms of fourth and sixth rank tensors. Many of the recent innovations in the field of electroceramics have exploited the nonlinearities of material properties with factors such as electric field, mechanical stress, temperature, or frequency. The nonlinear dielectric behavior of ferroelectric ceramics (Fig. 15.1), for example, has opened up new markets in electronics and communications. In these materials the electric polarization saturates under high fields. Electric displacement Di varies with applied electric field Ej as . . . Di = εijEj + εijkEjEk + εijklEjEkEl +· · · , . . . where εij is the dielectric permittivity and εijk and εijkl are higher order terms. The data in Fig. 15.1 were collected for a relaxor ferroelectric in its paraelectric state above Tc where the symmetry is centrosymmetric. Therefore the third rank tensor εijk is zero, and the shape of the curve is largely controlled by the first and third terms. For cubic crystals, the fourth rank tensor εijkl is similar in form to the elastic constants discussed in Chapter 13. Tunable microwave devices utilize nonlinear dielectrics in which the polarization saturates as in Fig. 15.1. By applying a DC bias the dielectric constant can be adjusted over a wide range.
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Conference papers on the topic "Material and Geometrical Nonlinearity Effects"

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Valdez, Marcelo F., and Balakumar Balachandran. "Wave Propagation Through Soft Tissue: Effect of Material Nonlinearity and Nonuniform Cross–Section." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38953.

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A better understanding of the influence of material nonlinearities on the propagation of mechanical stress waves is necessary to generate insights into damage mechanisms of soft tissues subjected to rapid and strong external excitations. In this effort, the authors study the propagation of longitudinal stress waves through soft tissue. Emphasis is placed on the influence of nonlinear material behavior and nonuniform cross–section on the characteristics of the stress–wave propagation. The mechanical behavior of the soft tissue is represented by a nonlinear viscoelastic model that is obtained through a maximum dissipation, thermodynamically consistent construction. The effect of the tissue nonlinear mechanical behavior is studied through asymptotic analysis. Examining the obtained analytical approximation, it is possible to discern nonlinear wave front steepening and the effect of the material dissipation. The effects of a nonuniform cross–sectional area are investigated through numerical simulations. These studies can be applied to understand the effect of geometric features of axons on the propagation of longitudinal stress waves. For example, the diameter of an axon gradually increases near its ends, and varicosities/boutons along the axons represent concentrated cross–sectional area variations. Simulations are carried out to examine various aspects of the nonlinear wave propagation such as wave front steepening. This work can serve as a basis for better understanding the mechanical causes underlying mild traumatic brain injury caused by a head impact or explosive blast waves.
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Zargar, Ehssan, Ali Akbar Aghakouchak, and Amin Aghakouchak. "Non Linear Response of Fixed Offshore Platforms to Seismic Excitation Including Soil-Pile-Structure Interaction." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-57372.

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A nonlinear seismic soil-pile-structure interaction (SSPSI) analysis of fixed offshore platforms constructed on pile foundations including both vertical and battered piles is presented. The analysis is carried out in time domain and the effects of soil nonlinearity, discontinuity at pile soil interfaces, energy dissipation through soil radiation damping, formation of soil layers on bed rock, structural material nonlinearity and geometrical nonlinearity are considered. A combination of FEM approach and BNWF approach is used in modeling pile (substructure), platform structure (superstructure) and soil media. Gapping in clay is modeled by a special connector configuration. To find out the ground motion of soil layers caused by earthquake excitations at bed rock, a nonlinear site response analysis is performed. The effects of soil-pile-structure interaction on nonlinear seismic analysis of offshore platforms are discussed. It is generally concluded that considering soil-pile-structure interaction causes higher deflections and lower stresses in the platform elements due to soil flexibility, nonlinearity and radiation damping and leads to a more feasible and realistic platform design. The sequence of generation of plastic zones in the structure and their distribution are also investigated. Sensitivity of results to soil layers configuration and soil material damping ratio are discussed.
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Zargar, Ehssan, Ali Akbar Aghakouchak, and Maziar Gholami. "Nonlinear Seismic Soil-Pile-Structure Interaction Analysis of Fixed Offshore Platforms." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-80153.

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A nonlinear seismic soil-pile-structure interaction (SSPSI) analysis of fixed offshore platforms constructed on pile foundations including both vertical and battered piles is presented. The analysis is carried out in time domain and the effects of soil nonlinearity, discontinuity at pile soil interfaces, energy dissipation through soil radiation damping, formation of soil layers on bed rock, structural material nonlinearity and geometrical nonlinearity are considered. A combination of FEM approach and BNWF approach is used in modeling pile (substructure), platform structure (superstructure) and soil media. Gapping in clay is modeled by a special connector configuration. To find out the ground motion of soil layers caused by earthquake excitations at bed rock, a nonlinear site response analysis is performed. The effects of soil-pile-structure interaction on nonlinear seismic analysis of offshore platforms are discussed. A comparison of SSPSI model and pile stub modeling is investigated and it is generally concluded that considering soil-pile-structure interaction causes higher deflections and lower stresses in the platform elements due to soil flexibility, nonlinearity and radiation damping and leads to a more feasible and realistic platform design. The sequence of generation of plastic zones in the structure and their distribution are also investigated. Results show that this nonlinear behavior is started at brace elements and then propagated to leg elements as earthquake last.
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Shi, Lei, Xiaolin Wang, Liang Chang, and Xue Li. "Elephant Foot Buckling Analysis of Large Unanchored Oil Storage Tanks With Tapered Shells Subjected to Foundation Settlement." In ASME 2020 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/pvp2020-21171.

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Abstract This paper presents an numerical study on a large unanchored open-topped steel tank. The buckling behaviors of the tank are analyzed using the finite element computer package ANSYS by means of nonlinear stabilization algorithm. The effects of foundation harmonic settlement on the elephant foot buckling strength of large unanchored open-topped oil storage tanks with tapered shells under axial compression are explored by numerical modeling. Various items of actual geometrical structure which involve concrete ringwall foundation of tank, unanchored bottom with slope, shell tapering from the base to the top, wind girders and supports, top angles, stiffening rings and support plates are presented thoroughly in the non-symmetrical 3D finite element model. Geometric nonlinearity, nonlinear boundary conditions and elastic plastic material of Ramberg-Osgood model are involved simultaneously in simulate course. The obtained solutions are displayed graphically for selected values of system parameters: harmonic settlement amplitude, harmonic number, and critical buckling stress of axially compressed oil tank. The results will provide insights into the relationship between foundation harmonic settlement and buckling strength of the large cylinders.
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Arıko¨k, Rifat, and Zahit Mecitog˘lu. "Large Deflection of a Laminated Composite Plate With Different Extensional and Flexural Material Properties." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-40592.

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This paper presents the large deflection elastic analysis of the hand lay-up composite plates with different extensional and flexural modulus including geometric nonlinearity effects that are taken into account with the von Ka´rma´n large deflection theory of thin plates. Governing equations of the motion are derived by means of the virtual work principle. Then the Galerkin method is applied to reduce the nonlinear coupled differential equations into a nonlinear algebraic equation system. The MATLAB and MATHEMATICA software are used to solve the equation system. Because of the common nonuniformities in hand lay-up fabric laminates such as resin surface layers and unequal layer thickness, the flexural and extensional modulus of such laminated composites are different. By the way, since the bending and in-plane effects are together affect to the nonlinear behavior of a composite laminate, it should give more reliable results when using different flexural and extensional modulus in the analysis. In this study, the results of approximate analysis, ANSYS finite element analysis and experimental study are obtained and compared for a fully-clamped laminated composite plate subjected to a uniform pressure load. The material properties used in the analysis are determined tension and three-point bending tests.
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Asgari, H., and M. R. Eslami. "Nonlinear Thermal Buckling Analysis of FGM Shallow Arches Under Linear Temperature Gradient." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20402.

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In this study non-linear thermal buckling of circular shallow arches made of functionally graded materials subjected to a linear temperature gradient is investigated. For this purpose, a functionally graded circular shallow arch is considered that its strain-displacement relation follows the Donnells nonlinear shallow shell theory. The material properties are varied smoothly through the arch thickness according to the power law distribution of the volume fraction of constituent materials. Also, material properties are considered temperature-dependent. The classical single layer theory assumptions that are reasonable for slender arches are implemented. To investigate the large deformations of such arch, the von-Karman type geometrical nonlinearity is utilized that is suitable for moderately large class of rotations. The virtual displacement principle and calculus of variation are employed to derive the governing equilibrium equations and complete set of boundary conditions of the FGM arch. The adjacent equilibrium criterion is employed for the stability analysis of the FGM arch. An analytical approach is accomplished and a closed-forms solution for thermal bifurcation points of the FGM shallow arches is presented. Also critical bifurcation loads corresponding to the critical temperatures with the presence of non-linear pre-buckling deformations is obtained. Illustrative results examine the effect of various involved parameters such as power law index, opening angle, geometric parameter (or otherwise length to thickness ratio). Obtained numerical results represent that, in most cases, thermal bifurcation for the FGM arches occurs in the high temperatures and the critical buckling temperatures are approximately high even for slender FGM arches. Also effective of ceramic or metal rich area at the bottom surface of the FGM arch is investigated and results are presented for both cases and are compared together. Varieties between this two cases due to contrast between material and structural stretching-bending coupling effect. Results presented illustrative the ceramic rich area at the bottom surface cause the higher critical buckling temperatures for the FGM arches.
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Sato, Takuya, Toshiyuki Hirosawa, and Shunji Kataoka. "Nonlinear Finite Element Analysis of Collapse Loads of Cylindrical Shells Subjected to Combined Thermal Loads and External Pressures." In ASME 2007 Pressure Vessels and Piping Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/pvp2007-26191.

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The inner tube of the double-tube reactors used in some chemical process units must be designed to resist buckling. When the inner tube is operated at a higher temperature and at a lower pressure and outer tube is operated at a lower temperature and at a higher pressure, the inner tube will be subjected to combined thermal loads and external pressure. ASME Code Sec. VIII Div. 1 provides a design procedure for shells, based on a B-chart, to ensure against buckling under external pressure, however, additional consideration should be made where plastic deformation may occur due to very large longitudinal thermal loads. In this study, nonlinear finite element analyses were performed to investigate the collapse of thick-walled cylindrical shells subjected to combined thermal loads and high external pressures. Two nonlinearities, a material nonlinearity (elastic-plastic behavior) and a geometric nonlinearity (large deformation), were considered in these analyses. The effects of initial imperfection in the shells (out-of-roundness) as well as of thermal loads were studied. The results showed that the longitudinal thermal loads reduce the plastic collapse load especially when the thermal loads are tensile. It was also shown that the loading sequence has a large effect on the collapse load especially when the thermal stress was larger.
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Dogan, Vedat. "Nonlinear Random Vibration of Functionally Graded Plates." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38251.

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The nonlinear random vibration of functionally graded plates under random excitation is presented. Material properties are assumed to be independent of temperature. The plates are assumed to have isotropic, two-constituent material distribution through the thickness. The modulus of elasticity, thermal expansion coefficient and density vary according to a power-law distribution in terms of the volume fractions of the constituents. The Classical Plate Theory (CPT) is employed for analytical formulations. Geometric nonlinearity due to in-plane stretching and von Karman type is considered. A Monte Carlo simulation of stationary random processes, multi-mode Galerkin-like approach, and numerical integration procedures are used to develop linear and nonlinear response solutions of clamped functionally graded plates. Uniform temperature distributions through the plate are assumed. Numerical results include time domain response histories, root mean square (RMS) values and response spectral densities. Effects of material composition and temperature rise are also investigated.
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Steinbrink, Scott E., Mahesh C. Aggarwal, and Kapilla I. M. Shepherd. "Linear and Nonlinear Finite Element Analysis of an Exhaust Manifold With Included Bellows." In ASME 2007 Pressure Vessels and Piping Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/pvp2007-26361.

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The aim of this paper is to examine the utility of nonlinear analysis for structural response to thermal and mechanical loads, for a structure containing alternating regions of high and low stiffness as a result of inclusion of bellow sections. Utility is measured by comparison of results of linear and nonlinear analyses. The specific example used is that of an exhaust manifold for a large diesel engine. The paper discusses modeling of geometric and material nonlinearity, and makes recommendations in regard to which nonlinear effects are thought to be significant, based on the linear/nonlinear comparisons. The paper also contains general comments on the finite element modeling of structures containing bellows.
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Zhang, Lixin, and Jean W. Zu. "Nonlinear Vibration of Parametrically Excited Viscoelastic Moving Belts." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8133.

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Abstract The dynamic response and stability of parametrically excited viscoelastic belts are investigated in this paper. The linear viscoelastic differential constitutive law is employed to characterize the material property of belts. The generalized equation of motion is obtained for a viscoelastic moving belt with geometric nonlinearity. The method of multiple scales is applied directly to the governing equation, which is in the form of continuous gyroscopic systems. Closed-form expressions for the amplitude, existence conditions and stability conditions of non-trivial limit cycles of the summation resonance are obtained. Effects of viscoelastic parameters, excitation frequencies, excitation amplitudes and axial moving speeds on stability boundaries are discussed.
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