## Journal of the Mechanics and Physics of Solids

 Short Title: J. Mech. Phys. Solids Publisher: Elsevier (Pergamon), Oxford ISSN: 0022-5096 Online: http://www.sciencedirect.com/science/journal/00225096
 Documents Indexed: 2,798 Publications (since 1955) References Indexed: 2,747 Publications with 87,268 References.
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### Authors

 51 Willis, John Raymond 40 Fleck, Norman A. 40 Hill, Rodney 39 Ortiz, Michael 36 Huang, Yonggang Young 36 Hutchinson, John Woodside 34 Gao, Huajian 34 Ponte Castañeda, Pedro 33 Triantafyllidis, Nicolas 31 Needleman, Alan 29 Rice, James Robert 24 Drugan, W. J. 24 Tvergaard, Viggo 23 Gurtin, Morton Edward 22 van der Giessen, Erik 20 Bigoni, Davide 20 Slepyan, Leonid I. 19 Acharya, Amit 19 McMeeking, Robert M. 19 Rosakis, Ares J. 18 Movchan, Alexander B. 17 Anand, Lallit 17 Bhattacharya, Kaushik 17 Boyce, Mary C. 16 Ramesh, K. T. 15 Benveniste, Yakov 15 Deshpande, Vikram S. 15 Freund, Lambert B. 15 Lopez-Pamies, Oscar 15 Spencer, Anthony James Merrill 14 Geers, Marc G. D. 14 Havner, Kerry S. 14 Leblond, Jean-Baptiste 14 Markenscoff, Xanthippi 14 Miehe, Christian 14 Milton, Graeme Walter 14 Parks, David M. 13 Bower, Allan F. 13 Conti, Sergio 13 Nemat-Nasser, Sia 13 Storåkers, Bertil 12 Hwang, Keh-Chi 12 Ogden, Raymond William 11 Begley, Matthew R. 11 Evans, Anthony G. 11 Fried, Eliot 11 Hills, David A. 11 James, Richard D. 11 Landis, Chad M. 11 Molinari, Alain 11 Nix, William D. 11 Petryk, Henryk 11 Suquet, Pierre-Marie 11 Truskinovsky, Lev 10 Audoly, Basile 10 Ciavarella, Michele 10 Lazarus, Véronique 10 Liu, Wing Kam 10 Morland, Leslie W. 10 Ni, Luqun 10 Smyshlyaev, Valery P. 10 Wright, Thomas W. 9 Abeyaratne, Rohan C. 9 Achenbach, Jan D. 9 Dvorak, George J. 9 Hodge, Philip G. jun. 9 Kuhl, Ellen 9 Loret, Benjamin 9 McDowell, David L. 9 Steinmann, Paul 8 Barnett, David M. 8 Bassani, John L. 8 Curtin, William A. 8 Garikipati, Krishna 8 Gibiansky, Leonid V. 8 Govindjee, Sanjay 8 Jiang, Hanqing 8 Leroy, Yves M. 8 Levitas, Valery I. 8 Marigo, Jean-Jacques 8 Pardoen, Thomas 8 Peigney, Michaël 8 Ponter, Alan R. S. 8 Ravichandran, Guruswami 8 Thompson, John Michael T. 8 Weng, George J. 7 Balke, Herbert 7 Berry, D. S. 7 Busso, Esteban P. 7 Ciarletta, Pasquale 7 Cowin, Stephen C. 7 Cox, Brian N. 7 Geubelle, Philippe H. 7 Goriely, Alain 7 Hashin, Zvi 7 Lipton, Robert P. 7 Liu, Liping 7 Onck, Patrick R. 7 Suo, Zhigang 7 Tadmor, Ellad B. ...and 2,748 more Authors
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### Fields

 2,563 Mechanics of deformable solids (74-XX) 174 Statistical mechanics, structure of matter (82-XX) 69 Biology and other natural sciences (92-XX) 42 Fluid mechanics (76-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 14 Mechanics of particles and systems (70-XX) 12 History and biography (01-XX) 9 General and overarching topics; collections (00-XX) 9 Integral equations (45-XX) 9 Numerical analysis (65-XX) 6 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. Zbl 1120.74718
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Acceleration waves in solids. Zbl 0111.37701
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The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Zbl 0775.73218
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Plane strain deformation near a crack tip in a power-law hardening material. Zbl 0166.20703
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Singular behaviour at the end of a tensile crack in a hardening material. Zbl 0166.20704
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On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
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2000
An adaptive finite element approach to atomic-scale mechanics. – The quasicontinuum method. Zbl 0982.74071
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1999
A unified treatment of strain gradient plasticity. Zbl 1114.74366
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2004
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
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2000
On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030
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1990
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
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1995
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
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2005
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1968
Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Zbl 1120.74683
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2005
Bifurcation phenomena in the plane tension test. Zbl 0331.73048
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1975
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Zbl 1054.74704
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1996
Microstructure-dependent couple stress theories of functionally graded beams. Zbl 1270.74114
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2011
A variational approach to the theory of the elastic behaviour of polycrystals. Zbl 0119.40105
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1963
Constitutive analysis of elastic-plastic crystals at arbitrary strain. Zbl 0254.73031
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1972
Thin interphase/imperfect interface in elasticity with application to coated fiber composites. Zbl 1080.74006
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2002
Mechanism-based strain gradient plasticity. II: Analysis. Zbl 0990.74016
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2000
Strain localization in ductile single crystals. Zbl 0375.73097
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1977
An analysis of the quasicontinuum method. Zbl 1002.74008
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2001
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
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2001
On uniqueness and stability in the theory of finite elastic strain. Zbl 0080.18004
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1957
A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity. Zbl 1091.74008
Miehe, C.; Göktepe, S.; Lulei, F.
2004
On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers. Zbl 0825.73103
Wu, P. D.; van der Giessen, E.
1993
A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies. Zbl 1173.74003
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2007
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
2005
A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Zbl 1120.74323
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2006
An extended model for void growth and coalescence. Zbl 1005.74059
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2000
Laws of crack motion and phase-field models of fracture. Zbl 1421.74089
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2009
A theory of coupled diffusion and large deformation in polymeric gels. Zbl 1162.74313
Hong, Wei; Zhao, Xuanhe; Zhou, Jinxiong; Suo, Zhigang
2008
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
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1996
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
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2002
The influence of plasticity on mixed mode interface toughness. Zbl 0775.73219
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1993
Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Zbl 1151.74403
Miehe, C.; Schotte, J.; Lambrecht, M.
2002
An extension of the self-consistent scheme to plastically-flowing polycrystals. Zbl 0395.73033
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1978
On bounds for the overall elastic moduli of inhomogeneous systems. I. Zbl 0139.18701
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1966
Approximate models for ductile metals containing non-spherical voids – case of axisymmetric prolate ellipsoidal cavities. Zbl 0796.73014
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1993
Poromechanics of freezing materials. Zbl 1120.74447
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2005
Multiple interacting circular nano-inhomogeneities with surface/interface effects. Zbl 1171.74398
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2008
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
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2002
A nonlinear field theory of deformable dielectrics. Zbl 1171.74345
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2008
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2009
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1988
Constitutive modeling of the large strain time-dependent behavior of elastomers. Zbl 1056.74500
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1998
Perspectives on biological growth and remodeling. Zbl 1270.74134
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2011
A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals. Zbl 1005.74004
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2000
A constitutive model for ferroelectric polycrystals. Zbl 0973.74026
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1999
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065
Smyshlyaev, V. P.; Cherednichenko, K. D.
2000
Crack-tip problem in non-local elasticity. Zbl 0375.73083
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1977
Localized necking in thin sheets. Zbl 0328.73029
Stören, S.; Rice, J. R.
1975
Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. Zbl 1162.74354
He, X. Q.; Kitipornchai, S.; Liew, K. M.
2005
A general anisotropic yield criterion using bounds and a transformation weighting tensor. Zbl 0792.73029
Karafillis, A. P.; Boyce, M. C.
1993
A computational procedure for rate-independent crystal plasticity. Zbl 1054.74549
Anand, L.; Kothari, M.
1996
Overall moduli of solids with microcracks: load-induced anisotropy. Zbl 0506.73097
Horii, H.; Nemat-Nasser, S.
1983
On the overall elastic moduli of composite materials. Zbl 0177.53204
Walpole, L. J.
1969
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
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2003
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Zbl 0821.73005
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1994
A theory of subgrain dislocation structures. Zbl 1001.74007
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2000
Origin of crack tip instabilities. Zbl 0878.73053
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1995
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Zbl 1094.74563
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2002
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
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2005
A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010
Acharya, Amit
2001
Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Zbl 1294.74014
Javili, A.; dell’Isola, F.; Steinmann, P.
2013
Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. II: Non-uniform rate of extension. Zbl 0237.73099
Freund, L. B.
1972
Effective properties of the octet-truss lattice material. Zbl 1011.74056
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2001
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
1992
Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation. Zbl 0998.74014
Miehe, Christian; Keck, Joachim
2000
Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes. Zbl 1171.74373
Hu, Yan-Gao; Liew, K. M.; Wang, Q.; He, X. Q.; Yakobson, B. I.
2008
Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. Zbl 1049.74034
Chang, Tienchong; Gao, Huajian
2003
A theory of the kinematics of ideal soils under plane strain conditions. Zbl 0125.15208
Spencer, A. J. M.
1964
The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431
Weckner, Olaf; Abeyaratne, Rohan
2005
A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014
2020
A coupled mass transport and deformation theory of multi-constituent tumor growth. Zbl 1477.74032
Faghihi, Danial; Feng, Xinzeng; Lima, Ernesto A. B. F.; Oden, J. Tinsley; Yankeelov, Thomas E.
2020
Stress-free configurations induced by a family of locally incompatible growth functions. Zbl 1441.92006
Chen, Xiaoyi; Dai, Hui-Hui
2020
Shear shock evolution in incompressible soft solids. Zbl 1481.74411
Chockalingam, S.; Cohen, T.
2020
Chirality in the plane. Zbl 1481.74046
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio
2020
Symmetry breaking creates electro-momentum coupling in piezoelectric metamaterials. Zbl 1481.74183
Pernas-Salomón, René; Shmuel, Gal
2020
Universal displacements in linear elasticity. Zbl 1484.74006
Yavari, Arash; Goodbrake, Christian; Goriely, Alain
2020
Exploring the 3D architectures of deep material network in data-driven multiscale mechanics. Zbl 1477.74006
Liu, Zeliang; Wu, C. T.
2019
Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy. Zbl 1474.74089
2019
Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method. Zbl 1477.74098
Li, Kewei; Holzapfel, Gerhard A.
2019
Some forms and properties of models of strain-gradient plasticity. Zbl 1474.74027
Willis, J. R.
2019
Modeling the martensite reorientation and resulting zero/negative thermal expansion of shape memory alloys. Zbl 1477.74014
Yu, Chao; Kang, Guozheng; Sun, Qingping; Fang, Daining
2019
A phase-field model for fatigue crack growth. Zbl 1480.74019
Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M.
2019
A finite strain electro-chemo-mechanical theory for ion transport with application to binary solid electrolytes. Zbl 1474.74005
Ganser, Markus; Hildebrand, Felix E.; Kamlah, Marc; McMeeking, Robert M.
2019
A gradient-damage theory for fracture of quasi-brittle materials. Zbl 1467.74076
Narayan, Sooraj; Anand, Lallit
2019
Micromorphic computational homogenization for mechanical metamaterials with patterning fluctuation fields. Zbl 1474.74087
Rokoš, O.; Ameen, M. M.; Peerlings, R. H. J.; Geers, M. G. D.
2019
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069
Kamotski, IIia V.; Smyshlyaev, Valery P.
2019
A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures. Zbl 1474.74085
Zhu, Yichao; Li, Shaoshuai; Du, Zongliang; Liu, Chang; Guo, Xu; Zhang, Weisheng
2019
Continuum-kinematics-inspired peridynamics. Mechanical problems. Zbl 1479.74007
Javili, A.; McBride, A. T.; Steinmann, P.
2019
A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena. Zbl 1452.74014
Roy, Pranesh; Roy, Debasish; Reddy, J. N.
2019
Multiscale modeling of dislocation patterns and simulation of nanoscale plasticity in body-centered cubic (BCC) single crystals. Zbl 1452.74026
Zhang, Lu-Wen; Xie, Yuxi; Lyu, Dandan; Li, Shaofan
2019
Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation. Zbl 1474.74031
Liu, Hongliang; Holzapfel, Gerhard A.; Skallerud, Bjørn H.; Prot, Victorien
2019
From species diffusion to poroelasticity and the modeling of lamina cribrosa. Zbl 1474.74045
Tatone, A.; Recrosi, F.; Repetto, R.; Guidoboni, G.
2019
A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: finite viscoelasticity. Zbl 1477.74013
Govindjee, Sanjay; Zoller, Miklos J.; Hackl, Klaus
2019
Dynamic enlargement of a hole in a sheet: crater formation and propagation of cylindrical shock waves. Zbl 1480.74172
Cohen, Tal
2019
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Zbl 1441.74216
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
2018
Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis. Zbl 1441.74049
Mashayekhi, Somayeh; Miles, Paul; Hussaini, M. Yousuff; Oates, William S.
2018
A general multiscale framework for the emergent effective elastodynamics of metamaterials. Zbl 1441.74135
Sridhar, A.; Kouznetsova, V. G.; Geers, M. G. D.
2018
Progressive damage and rupture in polymers. Zbl 1441.74025
Talamini, Brandon; Mao, Yunwei; Anand, Lallit
2018
Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation. Zbl 1445.74022
Amabili, Marco
2018
Effect of surface tension on the behavior of adhesive contact based on Lennard-Jones potential law. Zbl 1441.74137
Zhu, Xinyao; Xu, Wei
2018
A theory for fracture of polymeric gels. Zbl 1441.74023
Mao, Yunwei; Anand, Lallit
2018
A coupled model of transport-reaction-mechanics with trapping. I: Small strain analysis. Zbl 1441.82025
Salvadori, A.; McMeeking, R.; Grazioli, D.; Magri, M.
2018
Mechanics of inter-modal tunneling in nonlinear waveguides. Zbl 1441.74099
Jiao, Weijian; Gonella, Stefano
2018
Level repulsion and band sorting in phononic crystals. Zbl 1441.74053
Lu, Yan; Srivastava, Ankit
2018
Thermodynamic dislocation theory for non-uniform plastic deformations. Zbl 1441.74039
Le, K. C.
2018
Contact stiffness of regularly patterned multi-asperity interfaces. Zbl 1441.74140
Li, Shen; Yao, Quanzhou; Li, Qunyang; Feng, Xi-Qiao; Gao, Huajian
2018
Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains. Zbl 1441.74030
Basak, Anup; Levitas, Valery I.
2018
The $$p-n$$ junction under nonuniform strains: general theory and application to photovoltaics. Zbl 1442.35455
Guin, L.; Jabbour, M. E.; Triantafyllidis, N.
2018
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
2018
Porous media fracturing dynamics: stepwise crack advancement and fluid pressure oscillations. Zbl 1441.74063
Cao, Toan D.; Hussain, Fazle; Schrefler, Bernhard A.
2018
On a consistent finite-strain plate theory of growth. Zbl 1441.74109
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui
2018
A double perturbation method of postbuckling analysis in 2D curved beams for assembly of 3D ribbon-shaped structures. Zbl 1441.74081
Fan, Zhichao; Hwang, Keh-Chih; Rogers, John A.; Huang, Yonggang; Zhang, Yihui
2018
The effective compliance of spatially evolving planar wing-cracks. Zbl 1441.74199
Ayyagari, R. S.; Daphalapurkar, N. P.; Ramesh, K. T.
2018
Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries. Zbl 1441.74040
Peigney, Michaël
2018
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
2018
Rate-independent dissipation in phase-field modelling of displacive transformations. Zbl 1441.74147
Tůma, K.; Stupkiewicz, S.; Petryk, H.
2018
Finite element approximation of the fields of bulk and interfacial line defects. Zbl 1441.74283
Zhang, Chiqun; Acharya, Amit; Puri, Saurabh
2018
Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces. Zbl 1443.74161
Vattré, Aurelien; Pan, E.
2018
Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040
Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot
2018
A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models. Zbl 1445.74007
Wang, Linjuan; Abeyaratne, Rohan
2018
Far-field resonant third harmonic surface wave on a half-space of incompressible material of cubic nonlinearity. Zbl 1445.74033
Achenbach, Jan D.; Wang, Yanzheng
2018
Kinematics of elasto-plasticity: validity and limits of applicability of $$\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}$$ for general three-dimensional deformations. Zbl 1479.74016
Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio
2018
Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability. Zbl 1479.74060
Chakrabarti, Aditi; Mora, Serge; Richard, Franck; Phou, Ty; Fromental, Jean-Marc; Pomeau, Yves; Audoly, Basile
2018
Vibrations and elastic waves in chiral multi-structures. Zbl 1479.74054
Nieves, M. J.; Carta, G.; Jones, I. S.; Movchan, A. B.; Movchan, N. V.
2018
The atomistic representation of first strain-gradient elastic tensors. Zbl 1444.74007
Admal, Nikhil Chandra; Marian, Jaime; Po, Giacomo
2017
Variational coarse-graining procedure for dynamic homogenization. Zbl 1442.74190
Liu, Chenchen; Reina, Celia
2017
A large deformation poroplasticity theory for microporous polymeric materials. Zbl 1482.74067
Anand, Lallit
2017
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
2017
Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces. Zbl 1442.74026
Bacigalupo, Andrea; Gambarotta, Luigi
2017
Elastic rods with incompatible strain: macroscopic versus microscopic buckling. Zbl 1442.74075
Lestringant, Claire; Audoly, Basile
2017
Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion. Zbl 1442.74093
Dayal, Kaushik
2017
Elastic strain relaxation in interfacial dislocation patterns. I: A parametric energy-based framework. Zbl 1442.74051
Vattré, Aurelien
2017
Elastic strain relaxation in interfacial dislocation patterns. II: From long- and short-range interactions to local reactions. Zbl 1442.74050
Vattré, A.
2017
Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition $$\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}$$. Zbl 1442.74004
Reina, Celia; Conti, Sergio
2017
Finite strain response of crimped fibers under uniaxial traction: an analytical approach applied to collagen. Zbl 1482.74014
Marino, Michele; Wriggers, Peter
2017
Phase-field modeling of hydraulic fracture. Zbl 1482.74020
Wilson, Zachary A.; Landis, Chad M.
2016
Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model. Zbl 1482.74103
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Rosi, Giuseppe
2016
Localized bulging in an inflated cylindrical tube of arbitrary thickness – the effect of bending stiffness. Zbl 1481.74209
Fu, Y. B.; Liu, J. L.; Francisco, G. S.
2016
Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. Zbl 1451.74198
Idiart, Martín I.; Lahellec, Noel
2016
On asymptotic elastodynamic homogenization approaches for periodic media. Zbl 1474.74083
Nassar, H.; He, Q.-C.; Auffray, N.
2016
A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations. Zbl 1481.74062
Michel, Jean-Claude; Suquet, Pierre
2016
Dynamics of discrete screw dislocations on glide directions. Zbl 1482.74132
Alicandro, R.; De Luca, L.; Garroni, A.; Ponsiglione, M.
2016
Exterior statistics based boundary conditions for representative volume elements of elastic composites. Zbl 1482.74018
Ghosh, Somnath; Kubair, Dhirendra V.
2016
The elasto-plastic exquisite corpse: A suquet legacy. Zbl 1445.74011
Francfort, Gilles A.; Giacomini, Alessandro; Marigo, Jean-Jacques
2016
On the determination of missing boundary data for solids with nonlinear material behaviors, using displacement fields measured on a part of their boundaries. Zbl 1451.74111
Andrieux, Stéphane; Baranger, Thouraya N.
2016
Quasi-static responses and variational principles in gradient plasticity. Zbl 1451.74054
Nguyen, Quoc-Son
2016
Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040
2016
Steady sliding frictional contact problem for a 2d elastic half-space with a discontinuous friction coefficient and related stress singularities. Zbl 1445.74044
Ballard, Patrick
2016
Variational formulation and stability analysis of a three dimensional superelastic model for shape memory alloys. Zbl 1474.74030
Alessi, Roberto; Pham, Kim
2016
Material fields in atomistics as pull-backs of spatial distributions. Zbl 1478.74003
2016
Derivation of $$\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}$$ as the continuum limit of crystalline slip. Zbl 1478.74019
Reina, Celia; Schlömerkemper, Anja; Conti, Sergio
2016
Phase field approach with anisotropic interface energy and interface stresses: large strain formulation. Zbl 1482.74049
Levitas, Valery I.; Warren, James A.
2016
Harmonic model of graphene based on a tight binding interatomic potential. Zbl 1482.82056
Mendez, J. P.; Ariza, M. P.
2016
Some issues associated with the intermediate space in single-crystal plasticity. Zbl 1482.74041
Gurtin, Morton E.; Reddy, B. Daya
2016
A sublinear-scaling approach to density-functional-theory analysis of crystal defects. Zbl 1482.74052
Ponga, M.; Bhattacharya, K.; Ortiz, M.
2016
Solitary waves in a peridynamic elastic solid. Zbl 1482.74102
Silling, S. A.
2016
On poro-hyperelastic shear. Zbl 1482.74071
Suvorov, A. P.; Selvadurai, A. Patrick S.
2016
Cyclic density functional theory: a route to the first principles simulation of bending in nanostructures. Zbl 1482.74135
Banerjee, Amartya S.; Suryanarayana, Phanish
2016
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. Zbl 1349.74016
Lim, C. W.; Zhang, G.; Reddy, J. N.
2015
Willis elastodynamic homogenization theory revisited for periodic media. Zbl 1349.74302
Nassar, H.; He, Q.-C.; Auffray, N.
2015
Modelling the torsion of thin metal wires by distortion gradient plasticity. Zbl 1349.74072
Bardella, Lorenzo; Panteghini, Andrea
2015
Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. Zbl 1349.74071
Wulfinghoff, Stephan; Forest, Samuel; Böhlke, Thomas
2015
On the second-order homogenization of wave motion in periodic media and the sound of a chessboard. Zbl 1349.74300
Wautier, Antoine; Guzina, Bojan B.
2015
3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter. Zbl 1349.74125
Li, X.-Y.; Wu, F.; Jin, X.; Chen, W.-Q.
2015
A nonlinear, transient finite element method for coupled solvent diffusion and large deformation of hydrogels. Zbl 1349.74130
Bouklas, Nikolaos; Landis, Chad M.; Huang, Rui
2015
On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture. Zbl 1349.74033
Grassl, P.; Fahy, C.; Gallipoli, D.; Wheeler, S. J.
2015
Torsional vibrations of a column of fine-grained material: a gradient elastic approach. Zbl 1349.74183
Polyzos, D.; Huber, G.; Mylonakis, G.; Triantafyllidis, T.; Papargyri-Beskou, S.; Beskos, D. E.
2015
On a molecular statistical basis for Ogden’s model of rubber elasticity. Zbl 1349.82168
Ehret, Alexander E.
2015
Dielectric elastomer composites: a general closed-form solution in the small-deformation limit. Zbl 1327.74030
Spinelli, Stephen A.; Lefèvre, Victor; Lopez-Pamies, Oscar
2015
...and 1611 more Documents
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### Cited by 14,779 Authors

 93 Steinmann, Paul 85 Wang, Xu 72 Miehe, Christian 71 Ortiz, Michael 69 Liu, Wing Kam 65 Schiavone, Peter 62 Sevostianov, Igor 56 Geers, Marc G. D. 55 Fleck, Norman A. 55 Willis, John Raymond 54 Rabczuk, Timon 54 Wriggers, Peter 53 Huang, Yonggang Young 51 Ponte Castañeda, Pedro 51 Stefanelli, Ulisse 47 Conti, Sergio 45 Gao, Huajian 45 Neff, Patrizio 44 Ogden, Raymond William 43 Reddy, Junuthula Narasimha 42 Bigoni, Davide 42 Du, Qiang 42 Tvergaard, Viggo 41 Chen, Weiqiu 41 Mukhopadhyay, Santwana 40 Goriely, Alain 39 Acharya, Amit 39 Belytschko, Ted Bohdan 39 Movchan, Alexander B. 37 Kondo, Djimédo 35 Gurtin, Morton Edward 35 Needleman, Alan 35 Roubíček, Tomáš 34 Li, Shaofan 34 Mishuris, Gennady S. 34 Truskinovsky, Lev 33 Rodríguez-Ramos, Reinaldo 33 Wick, Thomas 32 Triantafyllidis, Nicolas 31 Fish, Jacob 31 Gao, Cun-Fa 31 Javili, Ali 30 Ansari, Reza 30 Forest, Samuel 30 Kuhl, Ellen 30 Marigo, Jean-Jacques 30 Menzel, Andreas M. 30 Milton, Graeme Walter 30 Svendsen, Bob 30 Zhang, Chuanzeng 29 Deshpande, Vikram S. 29 He, Qichang 29 Horgan, Cornelius Oliver 29 Mielke, Alexander 29 Wang, Yuesheng 29 Weng, George J. 28 Bhattacharya, Kaushik 28 Hutchinson, John Woodside 28 Kumar, Rajneesh 28 Sabina, Federico J. 28 van der Giessen, Erik 28 Wineman, Alan S. 27 Ganghoffer, Jean-François 27 Lopez-Pamies, Oscar 27 Mosler, Jörn 27 Othman, Mohamed Ibrahim Ahmed 26 Eremeyev, Victor A. 26 Ghosh, Somnath 26 Hackl, Klaus 26 Kanoria, Mridula 26 Quintanilla de Latorre, Ramón 26 Schröder, Jörg 26 Zohdi, Tarek I. 25 Benveniste, Yakov 25 Böhlke, Thomas 25 de Lorenzis, Laura 25 Drozdov, Aleksey D. 25 Lipton, Robert P. 25 Reddy, B. Dayanand 25 Rosakis, Ares J. 24 Anand, Lallit 24 Bravo-Castillero, Julián 24 de Borst, René 24 Ezzat, Magdy A. 24 Holzapfel, Gerhard Alfred 24 James, Richard D. 24 Marotti de Sciarra, Francesco 24 Niordson, Christian F. 24 Ortner, Christoph 24 Placidi, Luca 24 Rubin, Miles B. 24 Singh, Baljeet 24 Steigmann, David J. 24 Yavari, Arash 23 Abouelregal, Ahmed E. 23 Aifantis, Elias C. 23 Guinovart-Díaz, Raúl 23 Gunzburger, Max D. 23 Guo, Xu 23 Madeo, Angela ...and 14,679 more Authors
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### Cited in 434 Journals

 1,789 Journal of the Mechanics and Physics of Solids 1,388 Computer Methods in Applied Mechanics and Engineering 1,064 Acta Mechanica 914 European Journal of Mechanics. A. Solids 778 International Journal of Engineering Science 547 International Journal of Solids and Structures 537 Computational Mechanics 506 Mathematics and Mechanics of Solids 416 Journal of Elasticity 362 International Journal for Numerical Methods in Engineering 313 Applied Mathematical Modelling 274 International Journal of Fracture 259 Continuum Mechanics and Thermodynamics 247 Meccanica 235 International Journal of Plasticity 226 ZAMP. Zeitschrift für angewandte Mathematik und Physik 200 Engineering Analysis with Boundary Elements 196 Archive for Rational Mechanics and Analysis 192 Archive of Applied Mechanics 164 Journal of Computational Physics 148 Acta Mechanica Sinica 147 Wave Motion 143 Applied Mathematics and Mechanics. (English Edition) 128 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 109 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 99 Journal of Engineering Mathematics 87 Waves in Random and Complex Media 81 Applied Mathematics and Computation 80 Mechanics Research Communications 80 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 76 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 76 AMM. Applied Mathematics and Mechanics. (English Edition) 71 Computers & Mathematics with Applications 67 International Journal for Numerical and Analytical Methods in Geomechanics 59 Journal of Theoretical Biology 54 Journal of Applied Mathematics and Mechanics 50 Mathematical Problems in Engineering 46 International Journal of Computational Methods 44 Archives of Computational Methods in Engineering 43 Journal of Mathematical Analysis and Applications 43 Physica D 43 Calculus of Variations and Partial Differential Equations 42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 41 SIAM Journal on Applied Mathematics 40 Journal of Applied Mechanics and Technical Physics 39 Journal of Fluid Mechanics 39 Journal of Computational and Applied Mathematics 39 Journal of Nonlinear Science 39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 39 Engineering Computations 37 Multiscale Modeling & Simulation 34 Mathematical Methods in the Applied Sciences 31 Ingenieur-Archiv 30 SIAM Journal on Mathematical Analysis 30 Communications in Nonlinear Science and Numerical Simulation 30 Structural and Multidisciplinary Optimization 29 Journal of Mathematical Physics 28 Soviet Applied Mechanics 26 Journal of Scientific Computing 26 Nonlinear Dynamics 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Computational Geosciences 24 International Applied Mechanics 24 GAMM-Mitteilungen 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Journal of Differential Equations 22 Acta Mechanica Sinica. (English Edition) 22 Communications in Numerical Methods in Engineering 22 Discrete and Continuous Dynamical Systems. Series S 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Mathematical and Computer Modelling 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Quarterly of Applied Mathematics 18 Prikladnaya Matematika i Mekhanika 18 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 17 Journal of Optimization Theory and Applications 17 Communications in Computational Physics 16 Applicable Analysis 16 Archives of Mechanics 16 Applied Numerical Mathematics 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Science in China. Series E 16 Nonlinear Analysis. Real World Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 SIAM Journal on Numerical Analysis 15 Journal of Non-Equilibrium Thermodynamics 15 Journal of Vibration and Control 15 Sādhanā 15 Granular Matter 14 Discrete and Continuous Dynamical Systems. Series B 14 Inverse Problems in Science and Engineering 14 Advances in Applied Mathematics and Mechanics 13 International Journal of Heat and Mass Transfer 13 Mathematics of Computation 13 Chaos, Solitons and Fractals 13 Applied Mathematics Letters 13 European Journal of Applied Mathematics 13 PMM, Journal of Applied Mathematics and Mechanics 13 International Journal of Applied and Computational Mathematics ...and 334 more Journals
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### Cited in 57 Fields

 13,398 Mechanics of deformable solids (74-XX) 1,133 Numerical analysis (65-XX) 1,111 Partial differential equations (35-XX) 827 Fluid mechanics (76-XX) 761 Statistical mechanics, structure of matter (82-XX) 483 Calculus of variations and optimal control; optimization (49-XX) 461 Biology and other natural sciences (92-XX) 419 Classical thermodynamics, heat transfer (80-XX) 264 Optics, electromagnetic theory (78-XX) 147 Integral equations (45-XX) 147 Mechanics of particles and systems (70-XX) 106 Geophysics (86-XX) 92 Dynamical systems and ergodic theory (37-XX) 90 Real functions (26-XX) 79 Ordinary differential equations (34-XX) 73 Quantum theory (81-XX) 69 Linear and multilinear algebra; matrix theory (15-XX) 69 Differential geometry (53-XX) 58 Operator theory (47-XX) 53 Operations research, mathematical programming (90-XX) 52 Functions of a complex variable (30-XX) 46 Computer science (68-XX) 41 Functional analysis (46-XX) 38 Probability theory and stochastic processes (60-XX) 37 Systems theory; control (93-XX) 31 Statistics (62-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 History and biography (01-XX) 27 Integral transforms, operational calculus (44-XX) 24 Measure and integration (28-XX) 20 Approximations and expansions (41-XX) 19 Convex and discrete geometry (52-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 General and overarching topics; collections (00-XX) 16 Special functions (33-XX) 15 Potential theory (31-XX) 12 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 8 Topological groups, Lie groups (22-XX) 8 Relativity and gravitational theory (83-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 6 Difference and functional equations (39-XX) 5 Sequences, series, summability (40-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)