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Journal articles on the topic 'Non-linear elastic behaviour'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Lyakhovsky, Vladimir, Ze'ev Reches, Ram Weinberger, and Thurman E. Scott. "Non-linear elastic behaviour of damaged rocks." Geophysical Journal International 130, no. 1 (1997): 157–66. http://dx.doi.org/10.1111/j.1365-246x.1997.tb00995.x.

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Chou, T. W., and K. Takahashi. "Non-linear elastic behaviour of flexible fibre composites." Composites 18, no. 1 (1987): 25–34. http://dx.doi.org/10.1016/0010-4361(87)90004-8.

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Maghous, S., P. de Buhan, and L. Dormieux. "Non-linear global elastic behaviour of a periodically jointed material." Mechanics Research Communications 29, no. 1 (2002): 45–51. http://dx.doi.org/10.1016/s0093-6413(02)00225-2.

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Effendi, R.-Riesdam. "Compressive Behaviour of Unidirectional Carbon/Epoxy Composites." Advanced Composites Letters 2, no. 4 (1993): 096369359300200. http://dx.doi.org/10.1177/096369359300200405.

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An experimental study of the fracture of unidirectional carbon fibre-organic matrix composites under compression show that fibre kinking is the principal compressive failure mode. All materials tested have a non linear elastic behaviour during loading. This behaviour can be attributed to the intrinsic non linear elastic behaviour of the fibres.

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Rizov, Victor. "Non-linear elastic delamination of multilayered functionally graded beam." Multidiscipline Modeling in Materials and Structures 13, no. 3 (2017): 434–47. http://dx.doi.org/10.1108/mmms-10-2016-0054.

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Purpose The purpose of this paper is to perform an analytical study of non-linear elastic delamination fracture in the multilayered functionally graded split cantilever beam (SCB) configuration. The SCB studied may have an arbitrary number of vertical layers. The material in each layer is functionally graded along the layer thickness. Also, the material properties may be different in each layer. The analytical solution derived was applied for parametric investigations in order to evaluate the effects of material properties and delamination crack location on the non-linear fracture behaviour. Design/methodology/approach The delamination fracture was studied in terms of the strain energy release rate. The SCB mechanical response was described by using a power-law stress-strain relation. A non-linear analytical solution for the strain energy release rate was derived by considering the SCB complementary strain energy. In order to verify the solution, an additional analysis of the strain energy release rate was developed by considering the complementary strain energy in the beam cross-sections ahead and behind the crack front. Findings The effects of material gradient, crack location along the beam width and non-linear material behaviour on the delamination fracture were evaluated. The analytical solution derived is useful for parametric studies of non-linear fracture in multilayered functionally graded beams. Originality/value Delamination fracture in the multilayered functionally graded SCB configuration was analysed with considering the non-linear material behaviour.

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Megahed, M. M. "Elastic-plastic behaviour of spherical shells with non-linear hardening properties." International Journal of Solids and Structures 27, no. 12 (1991): 1499–514. http://dx.doi.org/10.1016/0020-7683(91)90074-p.

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Li, D. S., and M. R. Wisnom. "Non-linear stress-strain behaviour of unidirectional silicon carbide fibre reinforced aluminium alloy." Journal of Strain Analysis for Engineering Design 27, no. 3 (1992): 137–44. http://dx.doi.org/10.1243/03093247v273137.

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Longitudinal tensile tests have been conducted on unidirectional SiC fibre reinforced 6061 aluminium matrix composites in the annealed and as-manufactured conditions. The results are presented in terms of stress-strain curves and tangent modulus-strain relations, which show considerable non-linearity. Corresponding micromechanical finite element modelling is performed including the effects of the manufacturing process on the matrix in-situ properties. The analysis shows that the non-linear behaviour of the composite is caused by the elastic-plastic deformation of the matrix alloy. The matrix fully yields during the cooldown from manufacturing. Residual stress relaxation plays an important role in the stress-strain characteristics of the annealed aluminium matrix composite by introducing some initial elastic deformation. The amount of elastic deformation for the as-manufactured condition is greater because of subsequent age hardening. However, more linear elastic deformation was observed than predicted in the as-manufactured specimens, which is believed to be due to higher precipitation hardening caused by metallurgical effects induced in the manufacturing process.

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Prado, Jose Manuel. "The Elastic Behaviour of Metal Powder Compacts." Materials Science Forum 534-536 (January 2007): 325–28. http://dx.doi.org/10.4028/www.scientific.net/msf.534-536.325.

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In this work the elastic behaviour of metallic powder compacts is studied. Cylindrical specimens with different levels of density have been submitted to uniaxial compression tests with loading and unloading cycles. The analysis of the elastic loadings shows a non linear elasticity which can be mathematically represented by means of a potential law. Results are explained by assuming that the total elastic strain is the contribution of two terms one deriving from the hertzian deformation of the contacts among particles and another that takes into account the linear elastic deformation of the powder skeleton. A simple model based in a one pore unit cell is presented to support the mathematical model.

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Mendiguren, Joseba, Juan J. Trujillo, Fernando Cortés, and Lander Galdos. "An extended elastic law to represent non-linear elastic behaviour: Application in computational metal forming." International Journal of Mechanical Sciences 77 (December 2013): 57–64. http://dx.doi.org/10.1016/j.ijmecsci.2013.09.026.

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Rizov, Victor. "Non-linear fracture in bi-directional graded shafts in torsion." Multidiscipline Modeling in Materials and Structures 15, no. 1 (2019): 156–69. http://dx.doi.org/10.1108/mmms-12-2017-0163.

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Purpose The purpose of this paper is to develop an analysis of longitudinal fracture behaviour of a functionally graded non-linear-elastic circular shaft loaded in torsion. It is assumed that the material is functionally graded in both radial and longitudinal directions of the shaft (i.e. the material is bi-directional functionally graded). Design/methodology/approach The Ramberg–Osgood stress-strain relation is used to describe the non-linear mechanical behaviour of the functionally graded material. The fracture is studied in terms of the strain energy release rate by analysing the balance of the energy. The strain energy release rate is obtained also by differentiating of the complementary strain energy with respect to the crack area for verification. Findings Parametric studies are carried out in order to evaluate the influence of material gradients in radial and longitudinal directions, the crack location in radial direction and the crack length on the fracture behaviour of the shaft. It is found that by using appropriate gradients in radial and longitudinal directions, one can tailor the variations of material properties in order to improve the fracture performance of the non-linear-elastic circular shafts to the externally applied torsion moments. Originality/value A longitudinal cylindrical crack in a bi-directional functionally graded non-linear-elastic circular shaft loaded in torsion is analysed by using the Ramberg–Osgood stress-strain relation.

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Jonsén, Pär, Hans-Åke Häggblad, and Gustaf Gustafsson. "Modelling the non-linear elastic behaviour and fracture of metal powder compacts." Powder Technology 284 (November 2015): 496–503. http://dx.doi.org/10.1016/j.powtec.2015.07.031.

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Mohamad Noor, Noraishah, Haryanti Samekto, Ahmad Razlan Yusoff, et al. "Investigation on Elastic Behaviour of DP800 Dual Phase Steel." Advanced Materials Research 1134 (December 2015): 109–15. http://dx.doi.org/10.4028/www.scientific.net/amr.1134.109.

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The elastic relaxation behavior of dual phase steel DP800 is studied in this investigation, based on experimental and numerical methods the true stress-true strain curve obtained from a standard uniaxial tensile test differs according to angular rolling direction The relationship between true stress and true strain are presented in the form of power law equation. This form of material constitutive model shows that the strength coefficient and strain hardening exponent vary significantly in describing the nonlinear true stress-true strain relationship of the material. Finite Element (FE) calculations with Belytschko-Lin-Tsay shell element formulation are performed using the non-linear FE code Ls-Dyna to predict the plastic deformation of the material. Power Law Isotropic Plasticity criterion is adopted for these numerical analyses. The local strains in plastic deformations zone and true stress-strains characteristics obtained by experiment are compared. Using the same parameter the simulation was applied in different modes which are known as Isotropic Elastic-Plastic Model and Piecewise Linear Isotropic Plasticity Model providd in Ls-Dyna simulation for comparison. In general, good agreement in results is obtained between Power Law Isotropic Plasticity Model is obtained compared to Isotropic Elastic-Plastic Model and Piecewise Linear Isotropic Plasticity Model. It is demonstratedthat the behavior of the strain and the Power law criterion can be determined from uniaxial tensile test with the aid of non-linear FE analyses.

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Hakim S. Sultan Aljibori, Hakim S. Sultan Aljibori. "Non-Linear Elastic-Plastic Behaviour of Aluminium Sheet Metal Using Finite Element Analysis." International Journal of Mechanical and Production Engineering Research and Development 9, no. 1 (2019): 281–90. http://dx.doi.org/10.24247/ijmperdfeb201927.

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Comas-Cardona, S., P. Le Grognec, C. Binetruy, and P. Krawczak. "Unidirectional compression of fibre reinforcements. Part 1: A non-linear elastic-plastic behaviour." Composites Science and Technology 67, no. 3-4 (2007): 507–14. http://dx.doi.org/10.1016/j.compscitech.2006.08.017.

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NAIDU, N. R., G. VENKATESWARA RAO, and K. KANAKA RAJU. "FREE VIBRATION BEHAVIOUR OF TAPERED BEAMS WITH NON-LINEAR ELASTIC END ROTATIONAL RESTRAINTS." Journal of Sound and Vibration 240, no. 1 (2001): 195–202. http://dx.doi.org/10.1006/jsvi.2000.3112.

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Rizov, Victor. "Delamination analysis of a layered elastic-plastic beam." International Journal of Structural Integrity 8, no. 5 (2017): 516–29. http://dx.doi.org/10.1108/ijsi-11-2016-0035.

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Purpose The purpose of this paper is to perform a theoretical analysis of delamination fracture behaviour of the Crack Lap Shear layered beam configuration taking into account the material non-linearity. A delamination crack located arbitrarily along the beam height was considered in this study. Design/methodology/approach The beam mechanical behaviour was described by using the Ramberg-Osgood stress-strain relation. Fracture was analysed by applying the J-integral approach. Besides by using symmetric Ramberg-Osgood stress-strain curve, fracture was investigated also by Ramberg-Osgood stress-strain curve that is not symmetric with respect to tension and compression. The J-integral solutions were verified by performing elastic-plastic analyses of the strain energy release rate. Findings The effects of crack location and material properties on the non-linear fracture behaviour were evaluated. It was found that the material non-linearity leads to increase of the J-integral values. Therefore, the material non-linearity has to be taken into account in fracture mechanics based safety design of structural members composed by layered materials. The analytical solutions derived are very useful for parametric investigations of delamination fracture with considering the material non-linearity. The results obtained can be applied for optimisation of the beam structure with respect to fracture performance. Originality/value The present study contributes for the understanding of delamination fracture in layered beams that exhibit non-linear material behaviour.

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Rizov, Victor. "Non-linear fracture analysis of multilayered two-dimensional graded beams." Multidiscipline Modeling in Materials and Structures 14, no. 2 (2018): 387–99. http://dx.doi.org/10.1108/mmms-09-2017-0107.

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Purpose The purpose of this paper is to present an analytical study of the delamination fracture behaviour of a multilayered two-dimensional functionally graded cantilever beam configuration. A delamination crack is located arbitrary along the height of the beam cross-section. The layers have different thicknesses and material properties. Perfect adhesion is assumed between layers. The material is functionally graded in both thickness and width directions in each layer. Besides, the material of the beam exhibits non-linear-elastic behaviour. Design/methodology/approach The delamination fracture behaviour is analysed in terms of the strain energy release rate. The J-integral approach is applied in order to verify the analysis of the strain energy release rate developed in the present paper. Findings The influence of material properties, the crack location along the height of the beam cross-section and the non-linear behaviour of the material on the delamination fracture is examined. Originality/value A non-linear delamination fracture analysis of multilayered two-dimensional non-symmetric functionally graded beam configuration is developed.

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Ghadimi, Behzad, Hamid Nikraz, Colin Leek, and Ainalem Nega. "A Comparison between Effects of Linear and Non-Linear Mechanistic Behaviour of Materials on the Layered Flexible Pavement Response." Advanced Materials Research 723 (August 2013): 12–21. http://dx.doi.org/10.4028/www.scientific.net/amr.723.12.

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Modelling granular pavement materials has a significant role in the pavement design procedure. Modelling can be through an experimental or numerical approach to predict the granular behaviour during cyclic loading. The current design process in Australia is based on linear elastic analysis of layers. The analysis is performed through a well-known program CIRCLY which is applied to model bound pavement material behaviour. The KENLAYER is one of the common pavement software models used for pavement design in the United States which performs non-linear analysis for granular materials. Alternatively, a general Finite Element program such as ABAQUS can be used to model the complicated behaviour of multilayer granular materials. This study is to compare results of numerical modelling with these three programs on two sample pavement models.

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Wasserbäch, W. "Non-Linear Elastic Behaviour and Third-Order Elastic Constants of a Roller-Bearing Steel and Some Standard Steels." physica status solidi (b) 164, no. 1 (1991): 121–25. http://dx.doi.org/10.1002/pssb.2221640111.

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Solano-Carrillo, E. "Semi-exact solutions for large deflections of cantilever beams of non-linear elastic behaviour." International Journal of Non-Linear Mechanics 44, no. 2 (2009): 253–56. http://dx.doi.org/10.1016/j.ijnonlinmec.2008.11.007.

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Sommer, C., H. J. Christ, and H. Mughrabi. "Non-linear elastic behaviour of the roller bearing steel SAE 52100 during cyclic loading." Acta Metallurgica et Materialia 39, no. 6 (1991): 1177–87. http://dx.doi.org/10.1016/0956-7151(91)90206-g.

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Miyamoto, Ayaho, Michael E. King, and Manabu Fujii. "Non-linear dynamic analysis and design concepts for RC beams under impulsive loads." Bulletin of the New Zealand Society for Earthquake Engineering 22, no. 2 (1989): 98–111. http://dx.doi.org/10.5459/bnzsee.22.2.98-111.

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The behaviour of reinforced concrete (RC) beams under impulsive loading was studied in both the elastic and elasto-plastic regions by use of the finite element analysis. The calculations were then compared with experimental results for verification. Various impact force-time characteristics, beam geometries, material strengths and steel fibre contents were altered to study the effects on items such as behaviour in the critical region, energy absorption at failure and local deformation. These factors were then used to draft out a guideline on design concepts necessary for RC beams under impulsive loads.

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Huszár, Zsolt. "Vibrations of cracked reinforced and prestressed concrete beams." Facta universitatis - series: Architecture and Civil Engineering 6, no. 2 (2008): 155–64. http://dx.doi.org/10.2298/fuace0802155h.

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The dynamic behaviour of bent reinforced concrete beams in elastic range is significantly influenced by cracks caused by former loads. Considering this fact a more accurate calculation of the eigenfrequencies of the beams is available. Experiments have shown that the features of vibration differ from the results obtained by the well-known linear model, if cracked zones exist. The cause of this phenomenon is that the bending rigidity of the cross-sections in the cracked range depends on the sign of the actual bending moment. Therefore the vibration shows non-linear characteristics in the elastic range as well. The dynamic behavior of bent prestressed concrete beams is similar. The dynamic characteristics of prestressed beams besides cracks is influenced also by the intensity and eccentricity of the axial force. For a detailed investigation of the problem, experiments and non-linear analysis were performed. On the basis of these the virtual eigenfrequencies of the non-linear vibrations were determined.

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Zheng, Ke Ke, Jun Ning Chen, Corey Scholes, and Qing Li. "Magnetic Resonance Imaging (MRI) Based Finite Element Modeling for Analyzing the Influence of Material Properties on Menisci Responses." Applied Mechanics and Materials 553 (May 2014): 305–9. http://dx.doi.org/10.4028/www.scientific.net/amm.553.305.

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To investigate the importance of the meniscal non-linear behaviour on knee joint finite element analysis (FEA) study, the aim of this study was to compare linear elastic and nonlinear hyperelastic material models on the pressure distribution of meniscus. For this purpose, a 3D finite element (FE) knee model of a healthy living subject was constructed from magnetic resonance imaging (MRI) to simulate contact pressure under axial compressive loading. Differences in meniscal contact pressures were observed between linear elastic and nonlinear hyperelastic models. These findings emphasize the importance of accounting the nonlinear material behaviour of the menisci in knee joint FEA studies.

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Iatan, George Ciprian, Elisabeta Burlacu, and Leonard Dmnişoru. "Non-linear FEM analysis for ship panels under thermal loads." Analele Universităţii "Dunărea de Jos" din Galaţi. Fascicula XI, Construcţii navale/ Annals of "Dunărea de Jos" of Galati, Fascicle XI, Shipbuilding 43 (December 15, 2020): 95–102. http://dx.doi.org/10.35219/annugalshipbuilding.2020.43.12.

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During the past decade, welding remained the main technological procedure for joining steel components in shipbuilding industry. Though it has great benefits, welding is an aggressive process that introduces high stress and strains in the joined materials, causing distortion. Finite element method is an important instrument for predicting how structures are behaving under thermal loads. This paper is focused on studying the behaviour of small thickness ship panels, under straightening treatment, by performing thermal-structural-elastic-plastic analysis in Femap/NX Nastran. The proposed panel is tested under three different thermal loadings in order to study stresses and residual distortion.

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Zappalorto, M. "Strain fields in cracked bodies under antiplane shear for a generalised non-hardening material law." Mathematics and Mechanics of Solids 24, no. 10 (2019): 3125–35. http://dx.doi.org/10.1177/1081286519835272.

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An exact, closed form, solution is derived for the non-linear stress distribution in a cracked body under antiplane shear deformation. A generalised, non work-hardening, law is introduced to describe the material behaviour, and the stress and strain fields are derived in closed form. Such a new generalised material law includes the effect of a new parameter, a, which allows the transition from the ideally elastic behaviour (low strain regime) to the pure non-linear behaviour (large strain regime) to be modulated. A discussion is carried out on the features of the new solution and on the behaviour of stresses and strains close to and far away from the crack tip.

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Rizov, Victor. "Elastic-plastic delamination of multilayered graded four-point bending beam." World Journal of Engineering 15, no. 1 (2018): 166–72. http://dx.doi.org/10.1108/wje-01-2017-0015.

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Purpose This paper aims to analyze the elastic-plastic delamination fracture behaviour of multilayered functionally graded four-point bending beam configuration. Design/methodology/approach The mechanical response of beam is described by a power-law stress-strain relation. The fracture is studied analytically in terms of the strain energy release rate by considering the beam complimentary strain energy. The beam can have an arbitrary number of layers. Besides, each layer may have different thickness and material properties. Also, in each layer, the material is functionally graded along the beam width. A delamination crack is located arbitrary between layers. Thus, the crack arms have different thickness. Findings The analysis developed is used to elucidate the effects of crack location, material gradient and non-linear behaviour of material on the delamination fracture. It is found that the material non-linearity leads to increase in the strain energy release rate. Therefore, the non-linear behaviour of material should be taken into account in fracture mechanics-based safety design of structural members and components made of multilayered functionally graded materials. The analysis revealed that the strain energy release rate can be effectively regulated by using appropriate material gradients in the design stage of multilayered functionally graded constructions. Originality/value Delamination fracture behaviour of multilayered functionally graded four-point bending beam configuration is studied in terms of the strain energy release rate by taking into account the material non-linearity.

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Boyle, J. T. "Stress relaxation and elastic follow-up using a stress range-dependent constitutive model." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 6 (2011): 1472–83. http://dx.doi.org/10.1177/0954406211425766.

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Despite the availability of detailed non-linear finite element analysis (FEA), some aspects of high-temperature design can still be best addressed through more simplified methods. One such simplified method relates to the problem of elastic follow-up where, typically in strain-controlled situations, elastic behaviour in one part of a structure can lead to large strain accumulation in another. Over the past 30 years, it has been shown that in regions with significant elastic follow-up, a plot of maximum stress against strain (a ‘stress-strain trajectory’) is virtually independent of the constitutive relation – a characteristic which can be used to estimate elastic follow-up for design purposes without detailed non-linear FEA. The majority of studies which have reported this independence on material behaviour have used simple constitutive models for creep strain, primarily based on power-law creep or variations. Recently, studies of the behaviour of high-temperature structures with a stress range-dependent constitutive law have begun to emerge. This article examines the problem of elastic follow-up using such a constitutive law for a classic two-bar structure and for a more complex structure using FEA. It is found that the independence of the stress–strain trajectory on constitutive equation is lost with a stress range-dependent relation.

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Chen, Wang, Yin Pei Wang, Pei Ning Li, Chen Jin, and Xiao Ming Sun. "Numerical Study of Defect Free Elbows Subjected to In-Plane Bending Moment." Advanced Materials Research 189-193 (February 2011): 1494–97. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.1494.

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Elbow is a type of components widely used in a piping system, and so it is very important to know the plastic carrying capacity of elbow. In this study, the elastic-plastic behavior of elbows with various ratios of t/rm and relative bending radius R/rm were investigated in detail by using of three-dimensional (3D) non-linear finite element (FE) analyses, assuming elastic-perfectly-plastic material behaviour and taking geometric nonlinearity into account. The analyses indicated that elbow exhibited different behavior obviously at the elastic-plastic states subjected to In-Plane opening bending moment and closing bending moment. The closed form equations of elbow involving effect of tangent pipes were established.

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McConnell, C. J., M. E. DeMont, and G. M. Wright. "Microfibrils provide non-linear elastic behaviour in the abdominal artery of the lobster Homarus americanus." Journal of Physiology 499, no. 2 (1997): 513–26. http://dx.doi.org/10.1113/jphysiol.1997.sp021945.

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Mana, G., F. Vattaneo, and G. Zosi. "Non-Linear Analysis of the Elastic Behaviour of a Translation Device for X-Ray Interferometry." Metrologia 26, no. 4 (1989): 219–27. http://dx.doi.org/10.1088/0026-1394/26/4/002.

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van Erp, G. M., C. M. Menken, and F. E. Veldpaus. "The non-linear flexural-torsional behaviour of straight slender elastic beams with arbitrary cross sections." Thin-Walled Structures 6, no. 5 (1988): 385–404. http://dx.doi.org/10.1016/0263-8231(88)90019-5.

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Muc, Aleksander. "Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour." Materials 13, no. 7 (2020): 1792. http://dx.doi.org/10.3390/ma13071792.

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Usually, the design of composite structures is limited to the linear elastic analysis only. The experimental results discussed in the paper demonstrate the physical non-linear behaviour both for unidirectional and woven roving composites. It is mainly connected with the micromechanical damages in composite structures, particularly with the effects of matrix cracking modeled in the form of elastic-plastic physical relations. In the present paper, the effects of both physical and geometrical non-linearities are taken into account. Their influence on the limit states (understood in the sense of buckling or failure/damage) of composite structures is discussed. The numerical examples deal with the behaviour of composite pressure vessels components, such as a cylindrical shell and the reinforcement of the junction of shells. The optimisation method of the reinforcement thickness is also formulated and solved herein.

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Sudharsan, N. M., M. Kantharaj, and K. Kumar. "Preliminary investigations on non-linear fluid-structure interaction of an offshore structure." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217, no. 7 (2003): 759–65. http://dx.doi.org/10.1243/095440603767764408.

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Fluid-structure interaction (FSI) of offshore structures is an important area of research. It is also of significant industrial value, where such capabilities could be used for simulating the structural response in numerical wave tanks. The current research focuses on the development of a numerical wave tank with FSI capabilities. This requires solving the non-linear fluid and structure behaviour in the time domain considering a non-linear velocity potential formulation for the wave flow and a linear elastic formulation for the structure. The fluid and structural behaviour are coupled in time through a mixed Lagrangian-Eulerian procedure and the differential equations are discretized using the finite element method. Unstructured triangular meshes are used to discretize the fluid and structural domain, augmented by mesh smoothing algorithms. Based on the studie, it is shown that the transient force developed by the fluid on the structure varies due to the elastic nature of the structure. The perturbations in the free-surface profile due to the structural response are also captured. It is also shown that transient non-linear studies are important as they can help in identifying critical design limitations of traditional guides. It is thus demonstrated that the present work is capable of solving such FSI problems in order to obtain a reliable and complete analysis leading to a better understanding and safer design of compliant structures. The effect on the structure due to prolonged interaction with the fluid needs to be further studied for a better understanding.

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Fedczuk, Pawel, and Wojciech Skowroński. "NON-LINEAR ANALYSIS OF PLANE STEEL PRESTRESSED TRUSS IN FIRE." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 8, no. 3 (2002): 177–83. http://dx.doi.org/10.3846/13923730.2002.10531274.

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The concept of analysis of 2-D static loaded prestressed steel trusses till failure during fire using a modified method of forces is presented. Failure of steel trusses in fire is based on the criterion of stresses. Behaviour of steel is described by non-linear constitutive model (based on hypo-elastic Ramberg-Osgood formula and Dorn creep theory) and Plem proposition (for string). Both models are approximated in calculations by hyperbolic Norton-Bailey rule. Fire simulates thermal force as an action of high temperature that increases linearly up to some level. The complete formulation of this method is illustrated by the algorithm of model parameters identification. Analysis of results for specific prestressed truss made of ASTM A36 and A421 steel in fire is presented.

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Du, Xianbin, Youqun Zhao, Qiang Wang, and Hongxun Fu. "Numerical analysis of the dynamic interaction between a non-pneumatic mechanical elastic wheel and soil containing an obstacle." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 231, no. 6 (2016): 731–42. http://dx.doi.org/10.1177/0954407016660946.

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An innovative non-pneumatic tyre called the mechanical elastic wheel is introduced; significant challenges exist in the prediction of the dynamic interaction between this mechanical elastic wheel and soil containing an obstacle owing to its highly non-linear properties. To explore the mechanical properties of the mechanical elastic wheel and the soil, the finite element method is used, and a non-linear three-dimensional finite element wheel–soil interaction model is also established. Hyperelastic incompressible rubber, which is one of the main materials of the mechanical elastic wheel, is analysed using the Mooney–Rivlin model. The modified Drucker–Prager cap plasticity constitutive law is utilized to describe the behaviour of the soil, and the obstacle is represented as an elastic body. Simulations with different rotational speeds of the mechanical elastic wheel were conducted. The stress distribution and the displacement of the mechanical elastic wheel and the soil were obtained, and the effects of different rotational speeds on the displacement, the velocity and the acceleration of the hub centre are presented and discussed in detail. These results can provide useful information for optimization of the mechanical elastic wheel.

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Luo, Yun Mei, Luc Chevalier, and Eric Monteiro. "Numerical Simulation of the Viscohyperelastic Behaviour of PET near the Glass Transition Temperature." Key Engineering Materials 504-506 (February 2012): 1139–44. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.1139.

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The presentation deals with the non linear strongly elastic and viscous behaviour of poly ethylene terephthalate near the glass transition temperature and biaxially stretched at high strain rates representative of the injection stretch blow moulding process. A non linear visco-hyperelastic model inspired from [1] and identified from the experimental results of the equi-biaxial tension test [2], have been developed and presented in [3] is implemented into a finite element code developed with Matlab. The thermal behaviour modelling, identification and simulation has also been managed. First, a numerical simulation of 2D plane stress case has been performed involving 2 fields (global velocity V and elastic Cauchy Green tensor Be). Rectangular finite elements with quadratic and linear interpolations have been employed for velocity and the elastic left Cauchy Green tensor. Second, an axi symmetric formulation involving 4 fields (global velocity V, lagrange multiplier p associated with the global incompressibility condition, and multiplier q associated with the incompressibility of the elastic part) has been performed using rectangular elements. Degree of interpolation have been tested for all possible combinations to test the LBB like condition. Both simulations are compared with equi biaxial or sequential biaxial testing in order to reproduce the strain hardening effect and the self-heating observed. The final goal of this work is to perform the free blowing simulation to compare with experimental data. Therefore, we should solve an iterative procedure for a thermo-mechanical equation. At each time step, a four-field approach is adopted for the mechanical part, and a classical heat transfer equation is discretised for the thermal part.

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Laš, Vladislav, Tomáš Mandys, Tomáš Kroupa, and Richard Hynek. "Numerical Simulation of the Impact on Wide Composite Sandwich Beam." Applied Mechanics and Materials 611 (August 2014): 162–69. http://dx.doi.org/10.4028/www.scientific.net/amm.611.162.

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This paper is focused on the development of a finite element model describing the behaviour of sandwich structure with composite skins and low density foam core in case of low-velocity transverse impact load. The material properties of foam core and composite skins were determined using tensile tests. The non-linear elastic behaviour of composite skins was implemented into the commercial finite elements software using material subroutine. The identification process combining finite element simulations and mathematical optimization method was used for the determination of material parameters of the composite skins. The foam core was modelled using Abaqus Low-density Foam material model considering the non-linear behaviour in case of tension.

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de Angelis, Fabio. "On the Stability of Discrete Models of Compressed Beams in Elastic Media." Applied Mechanics and Materials 152-154 (January 2012): 982–89. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.982.

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The equilibrium configurations of compressed elastic beams in an elastic medium are investigated. The analysis is performed on discrete models by means of a geometric non linear treatment. The effect of the elastic stiffness of the medium on the overall stability of the structural system is taken into account through a parameter which represents the ratio between the elastic medium stiffness and the beam stiffness. This parameter shows to have a great influence on the buckling and post-buckling behaviour of the structure.

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MARTINELLI, L., and F. PEROTTI. "NUMERICAL ANALYSIS OF THE NON-LINEAR DYNAMIC BEHAVIOUR OF SUSPENDED CABLES UNDER TURBULENT WIND EXCITATION." International Journal of Structural Stability and Dynamics 01, no. 02 (2001): 207–33. http://dx.doi.org/10.1142/s0219455401000172.

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In this paper, a numerical procedure is presented for the dynamic analysis of elastic cables subjected to turbulent wind excitation in quasi-steady conditions. The proposed methodology, which takes geometrical and aerodynamic non-linearities into account, is based on artificial simulation of turbulence, on finite-element modeling of the cables and on a step-by-step implicit procedure for the integration of the dynamic equilibrium equations. As a first application, the dynamic behaviour of a cable in 1 : 2 internal resonance conditions is studied, focusing on some aspects of the influence of wind turbulence on galloping oscillations.

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Tiliouine, B., K. Sandjak, C. Y. Ali Haimoud, and M. Hammoutène. "Effects of Interface Condition on Performance of Road Pavements with Non-Linear Granular Materials." Advanced Materials Research 587 (November 2012): 102–6. http://dx.doi.org/10.4028/www.scientific.net/amr.587.102.

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The main results of a numerical investigation into the effects of interface condition on the critical response and predicted performance of flexible pavements with granular bases are presented. In addition, the influence of using linear elastic and non-linear elastic models for granular base characterization, on the design life of typical road structures with granular bases under various combinations of layer interface conditions is examined. Repeated load triaxial tests are carried out and non-linear regression analyses on tests results are performed to determine the constitutive model parameters. The Asphalt Institute distress models for fatigue cracking and rutting using both linear and non-linear analyses are utilized to estimate the pavement design life. It is shown, among others, that interface condition affects significantly the critical response of pavement structures and hence their predicted performance. Furthermore, the results indicate that the use of linear assumption to characterize granular base and sub-base behaviour, grossly over-estimates the design life of pavement structures. This effect strongly depends on interface conditions used between the pavements layers.

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Kumar, Manoj. "A Non-Linear Stiffness Model for Serial and Parallel Manipulators." International Journal of Robotics Applications and Technologies 5, no. 1 (2017): 34–62. http://dx.doi.org/10.4018/ijrat.2017010103.

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The paper presents a methodology to enhance the stiffness analysis of serial and parallel manipulators with passive joints. It directly takes into account the loading influence on the manipulator configuration and, consequently, on its Jacobians and Hessians. The main contributions of this paper are the introduction of a non-linear stiffness model for the manipulators with passive joints, a relevant numerical technique for its linearization and computing of the Cartesian stiffness matrix which allows rank-deficiency. Within the developed technique, the manipulator elements are presented as pseudo-rigid bodies separated by multidimensional virtual springs and perfect passive joints. Simulation examples are presented that deal with parallel manipulators of the Ortholide family and demonstrate the ability of the developed methodology to describe non-linear behaviour of the manipulator structure such as a sudden change of the elastic instability properties (buckling).

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Reid, S. R., and J. L. Yang. "Non-linear dynamic analysis of cantilever whipping pipes." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 212, no. 3 (1998): 133–49. http://dx.doi.org/10.1243/0954408981529367.

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This paper presents the results of numerical dynamic analyses of a number of pipe whip problems based on non-linear shell theory using the DYNA3D (version 6.0) finite element code. The calculations are mainly concerned with the transient deformation of the pipes during the whipping process. The main purpose of the study is to check the efficacy of a recently published theoretical elastic-plastic, hardening-softening (e-p-h-s) model for pipe whip developed by Reid et al. [1, 2]. This model is based upon beam theory but allows for the effects of ovalization of the pipe cross-section on the moment-curvature constitutive behaviour of the pipe. It is shown that the results using DYNA3D are in good agreement with both experimental data and the e-p-h-s model predictions and confirms the accuracy of the latter. While the DYNA3D study is not exhaustive, the localized shell bending deformation of whipping pipes in which ‘kinks’ are formed is reproduced with reasonable accuracy and it has permitted the effect of the strain-rate sensitivity of the yield stress of the pipe material to be examined in a preliminary manner.

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Dai, L., Q. Han, and M. Dong. "Chaotic response of a Galerkin shell to constant load and periodic excitation." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219, no. 1 (2005): 61–73. http://dx.doi.org/10.1243/146441905x9953.

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This study intends to investigate the dynamic behaviour of a non-linear elastic shallow shell of large deflection subjected to constant boundary loading and harmonic lateral excitation. The general governing equation for the shell is established using the Galerkin Principle. Three types of dynamic equation of the shell are developed, corresponding to certain geometry and loading conditions. Melnikov functions are considered for each type. Non-linear responses of the shell to the loads are analysed theoretically. Centre points, saddle points, and homoclinic orbits are determined and analysed on the basis of the governing equations established. The critical conditions for chaos to occur are provided for the vibrations of the shell. Numerical analysis is also performed for the non-linear elastic shell. Chaotic and regular vibrations of the shell are analysed with presentations of time history plots, phase diagrams, and Poincaré maps.

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Karkauskas, Romanas. "OPTIMIZATION OF ELASTIC-PLASTIC GEOMETRICALLY NON‐LINEAR LIGHTWEIGHT STRUCTURES UNDER STIFFNESS AND STABILITY CONSTRAINTS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 10, no. 2 (2004): 97–106. http://dx.doi.org/10.3846/13923730.2004.9636293.

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An actual structural design, especially that of lightweight structures, must evaluate strength, stiffness and stability constraints. A designed structure must satisfy optimality criteria. One faces known difficulties when trying to implement several from above mentioned requirements into optimization problem for further successful numerical realisation. A method to formulate the optimization problem, incorporating all above described criterions, mathematical model and algorithm to solve it numerically, taking into account the geometrically non‐linear structural behaviour are presented for truss type structure. In each optimization cycle the member forces obtained in the previous optimization cycle via elastic‐plastic non‐linear analysis procedure are employed to obtain the new optimal design values. During the optimization procedures, the tension members are assumed to be loaded up to the yield limit, compression members are assumed to be stressed up to their critical limits, the nodal displacements are restricted to limited magnitudes in prescribed directions. Design examples are presented to demonstrate the application of the algorithm.

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Bhattacharyya, Mainak, David Dureisseix, and Beatrice Faverjon. "Numerical homogenisation based on asymptotic theory and model reduction for coupled elastic-viscoplastic damage." International Journal of Damage Mechanics 29, no. 9 (2020): 1416–44. http://dx.doi.org/10.1177/1056789520930785.

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This article deals with damage computation of heterogeneous structures containing locally periodic micro-structures. Such heterogeneous structure is extremely expensive to simulate using classical finite element methods, as the level of discretisation required to capture the micro-structural effects is too fine. The simulation time becomes even higher when dealing with highly non-linear material behaviour, e.g. damage, plasticity and such others. Therefore, a multi-scale strategy is proposed here that facilitates the simulation of non-linear heterogeneous material behaviour in a manner that is computationally feasible. Based on the asymptotic homogenisation theory, this multi-scale technique explores the micro–macro behaviour for elasto-(visco)plasticity coupled with damage. The theory inherently segregates the heterogeneous continua into a macroscopic homogeneous structure and an underlying heterogeneous microscopic periodic unit cell. Several heterogeneous structures have been simulated using the multi-scale method along with a one-dimensional verification with respect to a reference solution. Additionally, a reduced order modelling is used to prevent large memory requirement for storing micro-structural quantities of interest.

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Alnuaimi, A. S. "Comparison between Experimental and 3D Finite Element Analysis of Reinforced and Partially Pre-Stressed Concrete Solid Beams Subjected to Combined Load of Bending, Torsion and Shear." Journal of Engineering Research [TJER] 5, no. 1 (2008): 79. http://dx.doi.org/10.24200/tjer.vol5iss1pp79-96.

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This paper presents a non-linear analysis of three reinforced and two partially prestressed concrete solid beams based on a 20 node isoparametric element using an in-house 3D finite element program. Anon linear elastic isotropic model, proposed by Kotsovos, was used to model concrete behaviour, while steel was modelled as an embedded element exhibiting elastic-perfectly plastic response. Allowance was made for shear retention and for tension stiffening in concrete after cracking. Only in a fixed direction, smeared cracking modelling was adopted. The beams dimensions were 300x300 mm cross section, 3800 mm length and were subjected to combined bending, torsion and shear. Experimental results were compared with the non-linear predictions. The comparison was judged by load displacement relationship, steel strain, angle of twist, failure load, crack pattern and mode of failure. Good agreement was observed between the predicted ultimate load and the experimentally measured loads. It was concluded that the present program can confidently be used to predict the behaviour and failure load of reinforced and partially prestressed concrete solid beams subjected to a combined load of bending, torsion and shear.

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Antunes, P. J., Gustavo R. Dias, A. T. Coelho, F. Rebelo, and T. Pereira. "Hyperelastic Modelling of Cork-Polyurethane Gel Composites: Non-Linear FEA Implementation in 3D Foot Model." Materials Science Forum 587-588 (June 2008): 700–705. http://dx.doi.org/10.4028/www.scientific.net/msf.587-588.700.

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The CPGC – Cork-Polyurethane Gel Composite is a material that is mechanically characterized by non-linear elastic behaviour at large deformations. The non-linear behaviour can be modelled by hyperelastic constitutive models based on strain energy functions enabling a structured phenomenological framework for CPGC material modelling. The CPGC is a promising material for human comfort enhancement and dynamic damping/control applications. This paper presents the experimental methodology used for the CPGC evaluation of material parameters used in the hyperelastic models and the finite element model build-up. A 3D foot FEA model is presented in order to evaluate the performance of the hyperelastic model in a real case situation and the mechanical performance of shoe insoles, namely, trough the monitoring of the contact pressure values at the insole/foot interface.

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Scarselli, G., F. Ciampa, F. Nicassio, and M. Meo. "Non-linear methods based on ultrasonic waves to analyse disbonds in single lap joints." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 16 (2017): 3066–76. http://dx.doi.org/10.1177/0954406217704222.

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Adhesive bonded lap joints are widely used in the aerospace field and non-destructive testing (NDT) techniques are critical in evaluating the quality of adhesion before and during use. Two types of bonded samples have been experimentally investigated in order to verify the reliability of non-linear elastic wave spectroscopy (NEWS) based on the use of ultrasound. Piezoelectric sensors have been attached to the samples and used as generators and receivers. Both the samples have shown non-linearities in their dynamic behaviour. Non-linear metrics have been applied to their structural responses over an assigned range of excitation frequencies based on higher order harmonic analysis in order to evaluate the degree of non-linearity of the samples. Possible interpretations of the experimental behaviour are provided in the paper based also on tomographic testing of the adhesive layer that showed the presence of microbubbles in the bond due to manufacturing process.

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LEROY, S., and E. CHARLAIX. "Hydrodynamic interactions for the measurement of thin film elastic properties." Journal of Fluid Mechanics 674 (March 17, 2011): 389–407. http://dx.doi.org/10.1017/s0022112010006555.

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We study the elasto-hydrodynamic (EHD) interaction of a sphere with a flat elastic surface in the prospect of measuring the elastic moduli of soft supported thin films, with non-contact dynamic surface forces or atomic force microscopy measurements. When the sphere is oscillated at a very small amplitude close to the surface, the linear force response undergoes a dynamic transition from a viscous-dominated behaviour at large distance to an elastic-dominated behaviour at short distance. In the limit of very thin or very thick supported layers, we show that the force response obeys simple scaling laws which allow to unambiguously determine the absolute elastic modulus of the layer. In the general case, we establish the very rich phase diagram of the EHD interaction and discuss its application for optimizing experimental parameters.

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