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Relevant bibliographies by topics / Continuum Elasticity

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Academic literature on the topic 'Continuum Elasticity'

Author: Grafiati

Published: 11 March 2023

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Journal articles on the topic "Continuum Elasticity"

1

Charlotte, M., and L. Truskinovsky. "Towards multi-scale continuum elasticity theory." Continuum Mechanics and Thermodynamics 20, no. 3 (2008): 133–61. http://dx.doi.org/10.1007/s00161-008-0075-z.

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Tarasov, Vasily E. "Fractional Gradient Elasticity from Spatial Dispersion Law." ISRN Condensed Matter Physics 2014 (April 3, 2014): 1–13. http://dx.doi.org/10.1155/2014/794097.

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Nonlocal elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak nonlocality) and the integral nonlocal models (strong nonlocality). This paper focuses on the fractional generalization of gradient elasticity that allows us to describe a weak nonlocality of power-law type. We suggest a lattice model with spatial dispersion of power-law type as a microscopic model of fractional gradient elastic continuum. We demonstrate how the continuum limit transforms the equations for lattice with this spatial dispersion into the continuum e

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3

Haq, Omer, and Sergei Shabanov. "Bound States in the Continuum in Elasticity." Wave Motion 103 (June 2021): 102718. http://dx.doi.org/10.1016/j.wavemoti.2021.102718.

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OKAMOTO, Hirosuke. "Dispersion and continuum models of powder elasticity." Journal of the Society of Powder Technology, Japan 27, no. 3 (1990): 146–52. http://dx.doi.org/10.4164/sptj.27.146.

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Lerner, Edan, Eric DeGiuli, Gustavo Düring, and Matthieu Wyart. "Breakdown of continuum elasticity in amorphous solids." Soft Matter 10, no. 28 (2014): 5085. http://dx.doi.org/10.1039/c4sm00311j.

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Okamoto, Hirosuke. "Dispersion and Continuum Models of powder Elasticity [Translated]†." KONA Powder and Particle Journal 9 (1991): 28–35. http://dx.doi.org/10.14356/kona.1991008.

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Wang, Jing. "Effect of Temperature on Elasticity of Silicon Nanowires." Key Engineering Materials 483 (June 2011): 526–31. http://dx.doi.org/10.4028/www.scientific.net/kem.483.526.

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A semi-continuum approach is developed for mechanical analysis of a silicon nanowire, which captures the atomistic physics and retains the efficiency of continuum models. By using the Keating model, the strain energy of the nanowire required in the semi-continuum approach is obtained. Young’s modulus of the silicon (001) nanowire along [100] direction is obtained by the developed semi-continuum approach. Young’s modulus decreases dramatically as the size of a silicon nanowire width and thickness scaling down, especially at several nanometers, which is different from its bulk counterpart. The s

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Lakes, R. "Experimental Micro Mechanics Methods for Conventional and Negative Poisson’s Ratio Cellular Solids as Cosserat Continua." Journal of Engineering Materials and Technology 113, no. 1 (1991): 148–55. http://dx.doi.org/10.1115/1.2903371.

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Continuum representations of micromechanical phenomena in structured materials are described, with emphasis on cellular solids. These phenomena are interpreted in light of Cosserat elasticity, a generalized continuum theory which admits degrees of freedom not present in classical elasticity. These are the rotation of points in the material, and a couple per unit area or couple stress. Experimental work in this area is reviewed, and other interpretation schemes are discussed. The applicability of Cosserat elasticity to cellular solids and fibrous composite materials is considered as is the appl

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Gao, Bin, Yu Zhou Sun, and Shen Li. "Higher-Order Elasticity Constants of Carbon Nanotubes." Advanced Materials Research 815 (October 2013): 516–19. http://dx.doi.org/10.4028/www.scientific.net/amr.815.516.

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In this paper, the higher-order elasticity constants are evaluated in the theoretical scheme of higher-order continuum. A single-walled carbon nanotube is treated as a higher-order continuum cylindrical tube with a thin wall, and the representative cell is chosen as a triangle unit that contains four carbon atoms. The Brenner potential is employed to describe the C-C atomic interaction, and the higher-order constitutive relationship is derived by virtue of the higher-order Cauchy-Born rule. The higher-order elasticity constants of carbon nanotubes are evaluated based on the derived higher-orde

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Wang, Jing. "Size-Dependence of Elasticity of Phosphorus-Doped Silicon Nano-Plates." Advanced Materials Research 486 (March 2012): 80–83. http://dx.doi.org/10.4028/www.scientific.net/amr.486.80.

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Elasticity of phosphorus (P)-doped silicon nanoplates has been investigated by a semi-continuum approach which captures the atomistic physics and retains the efficiency of continuum models. Youngs modulus of silicon (001) nanoplates along [10 direction is obtained by the developed semi-continuum approach. The results show that P-doping has an effect on the elasticity of silicon nanoplates, especially with the variation of doping concentration. The model predicts that Youngs moduli of P-doped silicon nanoplates are size-dependence.

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Dissertations / Theses on the topic "Continuum Elasticity"

1

Segall, Darren Eric 1970. "Coarse-graining electronic behavior in condensed matter systems : from electrons to continuum elasticity." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/29307.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002.<br>Includes bibliographical references (leaves 131-137).<br>In this thesis properties of various condensed matter systems are studied, whose dependency on electronic behavior is incorporated through coarse-grained interactions. Three specific systems are considered. In the first system of study, high momentum, plane wave states of the electronic wave function are coarse-grained, while the low momentum states are fully resolved. Moreover, the coarse-graining procedure incorporates the response of the high momentum s

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CADELANO, EMILIANO. "Graphene under strain. A combined continuum-atomistic approach." Doctoral thesis, Università degli Studi di Cagliari, 2011. http://hdl.handle.net/11584/265920.

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By combining continuum elasticity theory and atomistic simulations, we provide a picture of the elastic behavior of graphene, which was addressed as a two-dimensional crystal membrane. Thus, the constitutive nonlinear stress-strain relations for graphene, as well as its hydrogenated conformers, have been derived in the framework of the two-dimensional elastic theory, and all the corresponding linear and nonlinear elastic moduli have been computed by atomistic simulations. Moreover, we discuss the effects of an applied stretching on graphene lattice to its electronic band structure, in

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Ayoub, Sherif Fathy. "Analysis of elastic-plastic continuum at large deformation using hybrid descriptions and finite element method /." The Ohio State University, 1986. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487265555439612.

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SALVALAGLIO, MARCO. "Continuum modeling of vertical heterostructures: elastic properties and morphological evolution." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/100682.

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The development of cutting-edge opto- and micro-electronic devices requires novel fabrication techniques, able to deliver high-quality materials, monolithically integrable into Si-based technology. Theoretical models and simulations supporting the experimental activities are highly needed to fully understand the growth physics at the nano- and micro-scale and tailor semiconductor heterostructures for technological applications. In this work, the modeling of the plasticity onset and of the morphological evolution for Ge/Si vertical heterostructures is introduced, fostered by the peculiar featur

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Mühlich, Uwe. "Generalised continuum approach for modelling quasi-brittle failure." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-137217.

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A proper description of quasi-brittle failure within the frame of continuum Mechanics can only be achieved by models based on so-called generalised continua. This thesis focuses on a strain gradient generalised continuum and provides a specific methodology to derive corresponding models which account for the essential features of quasi-brittle failure. This methodology is discussed by means of four peer-reviewed journal articles. Furthermore, an extensive overview of the state of the art in the field of generalised continua is given at the beginning of the thesis. This overview discusses pheno

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Ortigosa, Martinez Rogelio. "On a new variational and computational framework for polyconvex nonlinear continuum mechanics and convex multi-variable nonlinear electro-elasticity." Thesis, Swansea University, 2016. https://cronfa.swan.ac.uk/Record/cronfa34893.

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The world of smart materials has experienced a dramatic revolution in the last decades. Electro Active and Magneto Active Materials are some of the most iconic of these, among which, dielectric and magnetostrictive elastomers are becoming extremely popular due to their outstanding actuation capabilities, and in lesser degree, to their energy harvesting capabilities. A clear example illustrating these extraordinary capabilities has been reported in the experimental literature, which has shown unprecedented extreme electrically induced deformations for the most representative dielectric elastome

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Dingreville, Remi. "Modeling and Characterization of the Elastic Behavior of Interfaces in Nanostructured Materials: From an Atomistic Description to a Continuum Approach." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19776.

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Thesis (Ph.D)--Mechanical Engineering, Georgia Institute of Technology, 2008.<br>Committee Chair: Jianmin Qu; Committee Member: David McDowell; Committee Member: Elisa Riedo; Committee Member: Min Zhou; Committee Member: Mo Li.

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Quignon-Tosoni, Justine. "Rhéologie des matériaux pâteux : vers un continuum des régimes solide et liquide. Application aux boues résiduaires." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22629/document.

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Dans un contexte d’augmentation constante des volumes de boues d’épuration à traiter, l’optimisation du traitement des boues est un enjeu primordial. Les étapes de traitement, et de transport mettent en jeu des écoulements qu’il est nécessaire de comprendre et de prédire afin, par exemple, de pour pouvoir estimer les pertes de charges en conduite ou bien pour dimensionner les installations de pompage. D’un point de vue physique, les boues peuvent être considérées comme une suspension de particules dans un gel suspendant. Ainsi, le comportement rhéologique des boues d’épuration présente des sim

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Beauregard, Matthew Alan. "Nonlinear Dynamics of Elastic Filaments Conveying a Fluid and Numerical Applications to the Static Kirchhoff Equations." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/194164.

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Two problems in the study of elastic filaments are considered.First, a reliable numerical algorithm is developed that candetermine the shape of a static elastic rod under a variety ofconditions. In this algorithm the governing equations are writtenentirely in terms of local coordinates and are discretized usingfinite differences. The algorithm has two significant advantages:firstly, it can be implemented for a wide variety of the boundaryconditions and, secondly, it enables the user to work with generalconstitutive relationships with only minor changes to thealgorithm. In the second problem a

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Lloyd, Jeffrey T. "Microstructure-sensitive simulation of shock loading in metals." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/51853.

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A constitutive model has been developed to model the shock response of single crystal aluminum from peak pressures ranging from 2-110 GPa. This model couples a description of higher-order thermoelasticity with a dislocation-based viscoplastic formulation, both of which are formulated for single crystals. The constitutive model has been implemented using two numerical methods: a plane wave method that tracks the propagating wave front; and an extended one-dimensional, finite-difference method that can be used to model spatio-temporal evolution of wave propagation in anisotropic materials. The c

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Books on the topic "Continuum Elasticity"

1

Alexander, Belyaev, ed. Theory of elasticity. Springer, 2005.

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2

Coman, Ciprian D. Continuum Mechanics and Linear Elasticity. Springer Netherlands, 2020. http://dx.doi.org/10.1007/978-94-024-1771-5.

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3

Continuum mechanics: Elasticity, plasticity, viscoelasticity. CRC/Taylor & Francis, 2007.

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4

Chandrasekharaiah, D. S. Continuum mechanics. Academic P., 1994.

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5

Constantinescu, Andrei. Elasticity with mathematica: An introduction to continuum mechanics and linear elasticity. Cambridge University Press, 2007.

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6

Jit, Singh Sarva, ed. Deformation of elastic solids. Prentice Hall, 1991.

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7

Gould, Phillip L. Introduction to Linear Elasticity. 3rd ed. Springer New York, 2013.

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8

Lattice dynamical foundations of continuum theories: Elasticity, piezoelectricity, viscoelasticity, plasticity. World Scientific, 1986.

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9

Prestressed bodies. Longman Scientific, 1989.

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10

M, Carroll Michael, and Hayes M. A, eds. Nonlinear effects in fluids and solids. Plenum Press, 1996.

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Book chapters on the topic "Continuum Elasticity"

1

Romano, Antonio, and Addolorata Marasco. "Nonlinear Elasticity." In Continuum Mechanics. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4870-1_1.

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Romano, Antonio, and Addolorata Marasco. "Micropolar Elasticity." In Continuum Mechanics. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4870-1_2.

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3

Nayak, Prasun Kumar, and Mijanur Rahaman Seikh. "Linear Elasticity." In Continuum Mechanics. CRC Press, 2022. http://dx.doi.org/10.1201/9781003299776-5.

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4

Athanasiou, Kyriacos A., and Roman M. Natoli. "Elasticity." In Introduction to Continuum Biomechanics. Springer International Publishing, 2008. http://dx.doi.org/10.1007/978-3-031-01626-4_4.

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Steinmann, Paul. "Elasticity." In Geometrical Foundations of Continuum Mechanics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46460-1_7.

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Talpaert, Yves R. "Linear Elasticity." In Tensor Analysis and Continuum Mechanics. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-015-9988-7_6.

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Romano, Antonio, and Addolorata Marasco. "Linear Elasticity." In Continuum Mechanics using Mathematica®. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1604-7_10.

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Toupin, R. A. "Elasticity and Electro-Magnetism." In Non-linear Continuum Theories. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11033-7_6.

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Antman, Stuart S. "Three-Dimensional Continuum Mechanics." In Nonlinear Problems of Elasticity. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4757-4147-6_12.

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Müller, Wolfgang H. "Problems of Linear Elasticity." In An Expedition to Continuum Theory. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-7799-6_9.

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Conference papers on the topic "Continuum Elasticity"

1

Alavinasab, Ali, Goodarz Ahmadi, and Ratneshwar Jha. "Nonlocal Continuum Theory Based Modeling of Carbon Nanotube Composites." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-595.

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Analytical modeling of Carbon Nanotube (CNT) composite based on the nonlocal continuum theory is investigated. This approach accounts for nonlocal stress-strain relationships, that is, stress at any point in a structure is a function of strain in the entire structure. Finite element analysis of a representative volume element (RVE) of CNT composite is used to evaluate unknown constant in the nonlocal theory based solution. Stress distributions are obtained from finite element method (FEM), nonlocal theory, and standard (local) elasticity. Nonlocal theory and FEM stress distributions yield the

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Amar, El Hadji Bouya, Didier Clamond, Nathalie Fraysse, Jean Rajchenbach, Masami Nakagawa, and Stefan Luding. "Mechanichal Behavior of a Noncohesive Packing at Small Deformations: Deviation From Continuum Elasticity." In POWDERS AND GRAINS 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON MICROMECHANICS OF GRANULAR MEDIA. AIP, 2009. http://dx.doi.org/10.1063/1.3179903.

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Gao, A., N. Liu, and Guang-Zhong Yang. "Toward Endobronchial Intervention: A Pre-Curved Continuum Robot with Large Deflection and Linear Elasticity." In The Hamlyn Symposium. The Hamlyn Centre, Faculty of Engineering, Imperial College London, 2018. http://dx.doi.org/10.31256/hsmr2018.7.

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Regueiro, Richard A. "Coupling Particle to Continuum Regions of Particulate Materials." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42717.

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Following atomistic-continuum coupling methods for lattice-structured materials [1, 2], a method for coupling particle to continuum regions of particulate materials is presented. The particle region is modeled using particle mechanics and the discrete element method, whereas the continuum region is modeled using linear micropolar elasticity and the finite element method. The formulation for coupling particle and continuum degrees of freedom as well as partitioning kinetic and potential energies in the overlapping domain is presented. Details of the numerical implementation and numerical exampl

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Barber, J. R., and P. Hild. "Non-Uniqueness, Eigenvalue Solutions and Wedged Configurations Involving Coulomb Friction." In ASME/STLE 2004 International Joint Tribology Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/trib2004-64368.

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It is well known that the conventional Coulomb friction condition can lead to non-uniqueness of solution in elastostatic solutions if the friction coefficient is sufficiently high. Interest in this field has centered on discrete formulations, particularly with reference to the finite element method. More recently Hild has demonstrated the existence of a multiplicity of non-unique solutions to a simple problem in two-dimensional continuum elasticity and showed how to determine the conditions for such states to exist by formulating an eigenvalue problem. Both the discrete and continuum examples

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Marquardt, Oliver, Stefan Schulz, Eoin P. O'Reilly, et al. "A flexible, plane-wave-based formulation of continuum elasticity and multiband k·p models." In 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2011. http://dx.doi.org/10.1109/nusod.2011.6041165.

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Papusha, Alexander N. "Mathematica Implementation in the Training Courses on Continuum Mechanics: Elasticity Theory, Hydromechanics, Theory of Filtration." In Proceedings of the Fifth International Mathematica Symposium. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2003. http://dx.doi.org/10.1142/9781848161313_0013.

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Shodja, Hossein M., and Hamed Haftbaradaran. "An Embedded Elliptic Nano-Fiber in Anti-Plane Strain Couple Stress Elasticity." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68537.

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The application of higher order continuum theories, with size effect considerations, have recently been spread in the micro and nano-scale studies. One famous version of these theories is the couple stress theory. This paper utilizes this theory to study the anti-plane problem of an elliptic nano-fiber, embedded in an infinite medium, both made of centrosymmetric isotropic material. In this framework, a characteristic length appears in the formulation, by which examination of the size effect is possible. This work presents an analytical solution for the proposed problem.

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Cheng, Shao-Huan, and C. T. Sun. "Applicability of Continuum Fracture Mechanics in Atomistic Systems." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63478.

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Stress intensity factor is one of the most significant fracture parameters in linear elastic fracture mechanics (LEFM). Due to its simplicity, many researchers directly employed this concept to explain their results from molecular simulation. However, stress intensity factor defines the amplitude of the singular stress, which is the product of continuum elasticity. Under atomistic systems without the stress singularity, the concept of stress intensity factor must be examined. In addition, the difficulty of studying the stress intensity factor in atomistic systems may be traced back to the ambi

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Shojaei, Arman, Mirco Zaccariotto, and Ugo Galvanetto. "On the Coupling of Peridynamics With a Meshless Method Based on Classical Elasticity." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65340.

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In this paper we introduce a simple and efficient approach to couple a discretized Peridynamic model with a meshless method based on classical continuum mechanics. The coupling is done through a complete meshless style without producing any ghost forces in the transition region. We shall show with such type of coupling it is possible to reproduce the solution of a pure Peridynamic model by a hybrid meshless method with lower computational cost.

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Reports on the topic "Continuum Elasticity"

1

Fried, Eliot, and Morton E. Gurtin. Continuum mechanical and computational aspects of phase field elasticity as applied to phase transitions and fracture. Final report: DE-FG02-97ER25318, June 1, 1997 - May 31, 2000. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/808066.

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