## 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)

### Citations contained in zbMATH Open

2,349 Publications have been cited 33,763 times in 14,363 Documents Cited by Year
A generalized dynamical theory of thermoelasticity. Zbl 0156.22702
Lord, H. W.; Shulman, Y.
1967
Revisiting brittle fracture as an energy minimization problem. Zbl 0966.74060
Francfort, G. A.; Marigo, J.-J.
1998
Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030
Silling, S. A.
2000
Experiments and theory in strain gradient elasticity. Zbl 1077.74517
Lam, D. C. C.; Yang, F.; Chong, A. C. M.; Wang, J.; Tong, P.
2003
Elastic properties of reinforced solids: Some theoretical principles. Zbl 0114.15804
Hill, R.
1963
A variational approach to the theory of the elastic behaviour of multiphase materials. Zbl 0108.36902
Hashin, Z.; Shtrikman, S.
1963
Numerical experiments in revisited brittle fracture. Zbl 0995.74057
Bourdin, B.; Francfort, G. A.; Marigo, J-J.
2000
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. Zbl 0235.73002
Rice, J. R.
1971
Numerical simulations of fast crack growth in brittle solids. Zbl 0825.73579
Xu, X.-P.; Needleman, Alan
1994
A reformulation of strain gradient plasticity. Zbl 1033.74006
Fleck, N. A.; Hutchinson, J. W.
2001
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R.
1992
A phenomenological theory for strain gradient effects in plasticity. Zbl 0791.73029
Fleck, N. A.; Hutchinson, J. W.
1993
A microstructure-dependent Timoshenko beam model based on a modified couple stress theory. Zbl 1171.74367
Ma, H. M.; Gao, X.-L.; Reddy, J. N.
2008
A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Zbl 1355.74020
Arruda, Ellen M.; Boyce, Mary C.
1993
Indentation size effects in crystalline materials: a law for strain gradient plasticity. Zbl 0977.74557
Nix, William D.; Gao, Huajian
1998
Solutions for effective shear properties in three phase sphere and cylinder models. Zbl 0419.73007
Christensen, R. M.; Lo, K. H.
1979
Mechanism-based strain gradient plasticity. I: Theory. Zbl 0982.74013
Gao, H.; Huang, Y.; Nix, W. D.; Hutchinson, J. W.
1999
Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014
Willis, J. R.
1977
Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments. Zbl 1426.74257
Amor, Hanen; Marigo, Jean-Jacques; Maurini, Corrado
2009
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
2002
A general theory of uniqueness and stability in elastic-plastic solids. Zbl 0091.40301
Hill, R.
1958
Continuum micro-mechanics of elastoplastic polycrystals. Zbl 0127.15302
Hill, R.
1965
Nonconvex energy minimization and dislocation structures in ductile single crystals. Zbl 0964.74012
Ortiz, M.; Repetto, E. A.
1999
The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052
Ponte Castañeda, P.
1991
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
Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. Zbl 1120.74718
Duan, H. L.; Wang, J.; Huang, Z. P.; Karihaloo, B. L.
2005
Acceleration waves in solids. Zbl 0111.37701
Hill, R.
1962
The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Zbl 0775.73218
Tvergaard, Viggo; Hutchinson, John W.
1992
Plane strain deformation near a crack tip in a power-law hardening material. Zbl 0166.20703
Rice, J. R.; Rosengren, G. F.
1968
Singular behaviour at the end of a tensile crack in a hardening material. Zbl 0166.20704
Hutchinson, J. W.
1968
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
2000
An adaptive finite element approach to atomic-scale mechanics. – The quasicontinuum method. Zbl 0982.74071
Shenoy, V. B.; Miller, R.; Tadmor, E. B.; Rodney, D.; Phillips, R.; Ortiz, M.
1999
A unified treatment of strain gradient plasticity. Zbl 1114.74366
Gudmundson, Peter
2004
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
Acharya, A.; Bassani, J. L.
2000
On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030
Abeyaratne, Rohan; Knowles, James K.
1990
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
1995
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
2005
On constitutive inequalities for simple materials. I. Zbl 0162.28702
Hill, R.
1968
Bifurcation phenomena in the plane tension test. Zbl 0331.73048
Hill, R.; Hutchinson, J. W.
1975
Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Zbl 1120.74683
Dingreville, Rémi; Qu, Jianmin; Cherkaoui, Mohammed
2005
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Zbl 1054.74704
Drugan, W. J.; Willis, J. R.
1996
Microstructure-dependent couple stress theories of functionally graded beams. Zbl 1270.74114
Reddy, J. N.
2011
A variational approach to the theory of the elastic behaviour of polycrystals. Zbl 0119.40105
Hashin, Z.; Shtrikman, S.
1963
Constitutive analysis of elastic-plastic crystals at arbitrary strain. Zbl 0254.73031
Hill, R.; Rice, J. R.
1972
Mechanism-based strain gradient plasticity. II: Analysis. Zbl 0990.74016
Huang, Y.; Gao, H.; Nix, W. D.; Hutchinson, J. W.
2000
Thin interphase/imperfect interface in elasticity with application to coated fiber composites. Zbl 1080.74006
Hashin, Zvi
2002
Strain localization in ductile single crystals. Zbl 0375.73097
Asaro, R. J.; Rice, J. R.
1977
An analysis of the quasicontinuum method. Zbl 1002.74008
Knap, J.; Ortiz, M.
2001
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
2001
On uniqueness and stability in the theory of finite elastic strain. Zbl 0080.18004
Hill, R.
1957
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
Maranganti, R.; Sharma, P.
2007
An extended model for void growth and coalescence. Zbl 1005.74059
Pardoen, T.; Hutchinson, J. W.
2000
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
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
2005
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
Ponte Castañeda, P.
1996
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
Ponte Castañeda, Pedro
2002
Laws of crack motion and phase-field models of fracture. Zbl 1421.74089
Hakim, Vincent; Karma, Alain
2009
The influence of plasticity on mixed mode interface toughness. Zbl 0775.73219
Tvergaard, Viggo; Hutchinson, John W.
1993
A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Zbl 1120.74323
Benveniste, Y.
2006
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
A theory of coupled diffusion and large deformation in polymeric gels. Zbl 1162.74313
Hong, Wei; Zhao, Xuanhe; Zhou, Jinxiong; Suo, Zhigang
2008
An extension of the self-consistent scheme to plastically-flowing polycrystals. Zbl 0395.73033
Berveiller, M.; Zaoui, A.
1978
On bounds for the overall elastic moduli of inhomogeneous systems. I. Zbl 0139.18701
Walpole, L. J.
1966
Approximate models for ductile metals containing non-spherical voids – case of axisymmetric prolate ellipsoidal cavities. Zbl 0796.73014
Gologanu, Mihai; Leblond, Jean-Baptiste; Devaux, Josette
1993
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
Arroyo, Marino; Belytschko, Ted
2002
Contact of dissimilar elastic cylinders under normal and tangential loading. Zbl 0631.73097
Nowell, D.; Hills, D. A.; Sackfield, A.
1988
Multiple interacting circular nano-inhomogeneities with surface/interface effects. Zbl 1171.74398
Mogilevskaya, Sofia G.; Crouch, Steven L.; Stolarski, Henryk K.
2008
A nonlinear field theory of deformable dielectrics. Zbl 1171.74345
Suo, Zhigang; Zhao, Xuanhe; Greene, William H.
2008
Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012
Milton, Graeme W.; Kohn, Robert V.
1988
Poromechanics of freezing materials. Zbl 1120.74447
Coussy, Olivier
2005
Constitutive modeling of the large strain time-dependent behavior of elastomers. Zbl 1056.74500
Bergström, J. S.; Boyce, M. C.
1998
A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals. Zbl 1005.74004
Rosakis, P.; Rosakis, A. J.; Ravichandran, G.; Hodowany, J.
2000
Localized necking in thin sheets. Zbl 0328.73029
Stören, S.; Rice, J. R.
1975
Crack-tip problem in non-local elasticity. Zbl 0375.73083
Eringen, A. C.; Speziale, C. G.; Kim, B. S.
1977
A constitutive model for ferroelectric polycrystals. Zbl 0973.74026
Huber, J. E.; Fleck, N. A.; Landis, C. M.; McMeeking, R. M.
1999
A computational procedure for rate-independent crystal plasticity. Zbl 1054.74549
Anand, L.; Kothari, M.
1996
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
2011
Overall moduli of solids with microcracks: load-induced anisotropy. Zbl 0506.73097
Horii, H.; Nemat-Nasser, S.
1983
A general anisotropic yield criterion using bounds and a transformation weighting tensor. Zbl 0792.73029
Karafillis, A. P.; Boyce, M. C.
1993
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Zbl 0821.73005
Hazanov, S.; Huet, C.
1994
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
Elastic theory of unconstrained non-Euclidean plates. Zbl 1306.74031
Efrati, E.; Sharon, E.; Kupferman, R.
2009
On the overall elastic moduli of composite materials. Zbl 0177.53204
Walpole, L. J.
1969
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
Origin of crack tip instabilities. Zbl 0878.73053
Marder, M.; Gross, Steve
1995
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
2003
A theory of subgrain dislocation structures. Zbl 1001.74007
Ortiz, M.; Repetto, E. A.; Stainier, L.
2000
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
A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010
Acharya, Amit
2001
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
2005
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
Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Zbl 1294.74014
Javili, A.; dell’Isola, F.; Steinmann, P.
2013
Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. Zbl 1049.74034
Chang, Tienchong; Gao, Huajian
2003
A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. Zbl 1159.74381
Garikipati, K.; Arruda, E. M.; Grosh, K.; Narayanan, H.; Calve, S.
2004
A theory of the kinematics of ideal soils under plane strain conditions. Zbl 0125.15208
Spencer, A. J. M.
1964
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
1992
A continuum model of a thermoelastic solid capable of undergoing phase transitions. Zbl 0825.73058
Abeyaratne, Rohan; Knowles, James K.
1993
A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046
Bhattacharya, K.; James, R. D.
1999
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Zbl 1094.74563
Koslowski, M.; Cuitiño, A. M.; Ortiz, M.
2002
A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014
Behzadinasab, Masoud; Foster, John T.
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
Exploring the 3D architectures of deep material network in data-driven multiscale mechanics. Zbl 1477.74006
Liu, Zeliang; Wu, C. T.
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
Some forms and properties of models of strain-gradient plasticity. Zbl 1474.74027
Willis, J. R.
2019
Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy. Zbl 1474.74089
Li, Bin; Maurini, Corrado
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 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
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
From species diffusion to poroelasticity and the modeling of lamina cribrosa. Zbl 1474.74045
Tatone, A.; Recrosi, F.; Repetto, R.; Guidoboni, G.
2019
Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method. Zbl 1477.74098
Li, Kewei; Holzapfel, Gerhard A.
2019
Continuum-kinematics-inspired peridynamics. Mechanical problems. Zbl 1479.74007
Javili, A.; McBride, A. T.; Steinmann, P.
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
Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation. Zbl 1445.74022
Amabili, Marco
2018
Progressive damage and rupture in polymers. Zbl 1441.74025
Talamini, Brandon; Mao, Yunwei; Anand, Lallit
2018
A theory for fracture of polymeric gels. Zbl 1441.74023
Mao, Yunwei; Anand, Lallit
2018
Mechanics of inter-modal tunneling in nonlinear waveguides. Zbl 1441.74099
Jiao, Weijian; Gonella, Stefano
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
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
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
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
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
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
Contact stiffness of regularly patterned multi-asperity interfaces. Zbl 1441.74140
Li, Shen; Yao, Quanzhou; Li, Qunyang; Feng, Xi-Qiao; Gao, Huajian
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
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
Variational coarse-graining procedure for dynamic homogenization. Zbl 1442.74190
Liu, Chenchen; Reina, Celia
2017
Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces. Zbl 1442.74026
Bacigalupo, Andrea; Gambarotta, Luigi
2017
The atomistic representation of first strain-gradient elastic tensors. Zbl 1444.74007
Admal, Nikhil Chandra; Marian, Jaime; Po, Giacomo
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
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
Phase-field modeling of hydraulic fracture. Zbl 1482.74020
Wilson, Zachary A.; Landis, Chad M.
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
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
Allaire, G.; Delgado, G.
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
Exterior statistics based boundary conditions for representative volume elements of elastic composites. Zbl 1482.74018
Ghosh, Somnath; Kubair, Dhirendra V.
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
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
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
Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. Zbl 1349.74071
Wulfinghoff, Stephan; Forest, Samuel; Böhlke, Thomas
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
A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M.
2015
The post-buckling behavior of a beam constrained by springy walls. Zbl 1349.74142
Katz, Shmuel; Givli, Sefi
2015
Asymptotic homogenization of three-dimensional thermoelectric composites. Zbl 1349.74029
Yang, Yang; Lei, Chihou; Gao, Cun-Fa; Li, Jiangyu
2015
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
2015
Multiscale mechanics of macromolecular materials with unfolding domains. Zbl 1349.74285
De Tommasi, D.; Puglisi, G.; Saccomandi, G.
2015
On the mechanical modeling of the extreme softening/stiffening response of axially loaded tensegrity prisms. Zbl 1349.74056
Fraternali, Fernando; Carpentieri, Gerardo; Amendola, Ada
2015
Coalescence of voids by internal necking: theoretical estimates and numerical results. Zbl 1349.74039
Morin, Léo; Leblond, Jean-Baptiste; Benzerga, A. Amine
2015
Forerunning mode transition in a continuous waveguide. Zbl 1349.74228
Slepyan, Leonid; Ayzenberg-Stepanenko, Mark; Mishuris, Gennady
2015
Steady and transient sliding under rate-and-state friction. Zbl 1349.74268
Putelat, Thibaut; Dawes, Jonathan H. P.
2015
Dissipation consistent fabric tensor definition from DEM to continuum for granular media. Zbl 1349.74047
Li, X. S.; Dafalias, Y. F.
2015
Cnoidal waves in solids. Zbl 1349.74212
Veveakis, E.; Regenauer-Lieb, K.
2015
A 3D mechanistic model for brittle materials containing evolving flaw distributions under dynamic multiaxial loading. Zbl 1349.74045
Hu, Guangli; Liu, Junwei; Graham-Brady, Lori; Ramesh, K. T.
2015
Morphoelastic control of gastro-intestinal organogenesis: theoretical predictions and numerical insights. Zbl 1349.74259
Balbi, V.; Kuhl, E.; Ciarletta, P.
2015
A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker-Prager matrix. Zbl 1349.74068
Cheng, Long; Jia, Yun; Oueslati, Abdelbacet; de Saxcé, Géry; Kondo, Djimedo
2015
Microscopically derived free energy of dislocations. Zbl 1349.74286
Kooiman, M.; Hütter, M.; Geers, M. G. D.
2015
Martensitic phase transition involving dislocations. Zbl 1349.74288
Le, K. C.; Günther, C.
2015
Utilizing mechanical loads and flexoelectricity to induce and control complicated evolution of domain patterns in ferroelectric nanofilms. Zbl 1349.82163
Chen, Weijin; Zheng, Yue; Feng, Xue; Wang, Biao
2015
A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. Zbl 1481.74097
Zhang, Xiaohan; Acharya, Amit; Walkington, Noel J.; Bielak, Jacobo
2015
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
2014
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of $$\mathbf F=\mathbf F^e\mathbf F^p$$. Zbl 1323.74018
Reina, C.; Conti, S.
2014
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. Zbl 1323.74003
Tupek, M. R.; Radovitzky, R.
2014
An energy formulation of continuum magneto-electro-elasticity with applications. Zbl 1303.74017
Liu, Liping
2014
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### Cited by 14,267 Authors

 91 Steinmann, Paul 81 Wang, Xu 72 Miehe, Christian 70 Ortiz, Michael 69 Liu, Wing Kam 62 Sevostianov, Igor 60 Schiavone, Peter 55 Fleck, Norman A. 55 Geers, Marc G. D. 55 Willis, John Raymond 54 Wriggers, Peter 53 Huang, Yonggang Young 53 Rabczuk, Timon 51 Ponte Castañeda, Pedro 50 Stefanelli, Ulisse 47 Conti, Sergio 45 Gao, Huajian 44 Ogden, Raymond William 42 Bigoni, Davide 42 Reddy, Junuthula Narasimha 42 Tvergaard, Viggo 41 Chen, Weiqiu 40 Du, Qiang 40 Neff, Patrizio 39 Acharya, Amit 39 Belytschko, Ted Bohdan 39 Movchan, Alexander B. 38 Goriely, Alain 38 Mukhopadhyay, Santwana 37 Kondo, Djimédo 35 Gurtin, Morton Edward 35 Needleman, Alan 35 Roubíček, Tomáš 34 Mishuris, Gennady S. 34 Truskinovsky, Lev 33 Li, Shaofan 32 Rodríguez-Ramos, Reinaldo 32 Wick, Thomas 31 Fish, Jacob 31 Triantafyllidis, Nicolas 30 Javili, Ali 30 Marigo, Jean-Jacques 30 Menzel, Andreas M. 30 Milton, Graeme Walter 30 Svendsen, Bob 30 Zhang, Chuanzeng 29 Ansari, Reza 29 Deshpande, Vikram S. 29 Forest, Samuel 29 Gao, Cun-Fa 29 He, Qichang 29 Mielke, Alexander 29 Wang, Yuesheng 29 Weng, George J. 28 Bhattacharya, Kaushik 28 Horgan, Cornelius Oliver 28 Hutchinson, John Woodside 28 Kuhl, Ellen 28 Kumar, Rajneesh 28 van der Giessen, Erik 28 Wineman, Alan S. 27 Lopez-Pamies, Oscar 27 Mosler, Jörn 27 Sabina, Federico J. 26 Ganghoffer, Jean-François 26 Ghosh, Somnath 26 Hackl, Klaus 26 Zohdi, Tarek I. 25 Benveniste, Yakov 25 Drozdov, Aleksey D. 25 Eremeyev, Victor A. 25 Quintanilla de Latorre, Ramón 25 Reddy, B. Dayanand 25 Rosakis, Ares J. 24 Anand, Lallit 24 de Borst, René 24 de Lorenzis, Laura 24 Holzapfel, Gerhard Alfred 24 James, Richard D. 24 Niordson, Christian F. 24 Othman, Mohamed Ibrahim Ahmed 24 Placidi, Luca 24 Schröder, Jörg 24 Steigmann, David J. 23 Aifantis, Elias C. 23 Böhlke, Thomas 23 Bravo-Castillero, Julián 23 Gunzburger, Max D. 23 Lipton, Robert P. 23 Marotti de Sciarra, Francesco 23 Ortner, Christoph 23 Rubin, Miles B. 23 Singh, Baljeet 23 Sun, WaiChing 23 Suquet, Pierre-Marie 23 Yavari, Arash 22 DeSimone, Antonio 22 Ezzat, Magdy A. 22 Ghayesh, Mergen H. 22 Guinovart-Díaz, Raúl ...and 14,167 more Authors
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### Cited in 419 Journals

 1,789 Journal of the Mechanics and Physics of Solids 1,336 Computer Methods in Applied Mechanics and Engineering 1,032 Acta Mechanica 878 European Journal of Mechanics. A. Solids 764 International Journal of Engineering Science 547 International Journal of Solids and Structures 520 Computational Mechanics 475 Mathematics and Mechanics of Solids 401 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 213 ZAMP. Zeitschrift für angewandte Mathematik und Physik 193 Archive for Rational Mechanics and Analysis 192 Archive of Applied Mechanics 191 Engineering Analysis with Boundary Elements 157 Journal of Computational Physics 148 Acta Mechanica Sinica 143 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 97 Journal of Engineering Mathematics 80 Mechanics Research Communications 80 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 79 Applied Mathematics and Computation 75 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 68 Computers & Mathematics with Applications 67 International Journal for Numerical and Analytical Methods in Geomechanics 59 Journal of Theoretical Biology 55 AMM. Applied Mathematics and Mechanics. (English Edition) 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 Physica D 42 Journal of Mathematical Analysis and Applications 42 Calculus of Variations and Partial Differential Equations 42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 40 SIAM Journal on Applied Mathematics 40 Journal of Applied Mechanics and Technical Physics 39 Journal of Computational and Applied Mathematics 39 Engineering Computations 37 Journal of Nonlinear Science 37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Journal of Fluid Mechanics 35 Multiscale Modeling & Simulation 34 Mathematical Methods in the Applied Sciences 31 Ingenieur-Archiv 30 Structural and Multidisciplinary Optimization 29 Journal of Mathematical Physics 28 Soviet Applied Mechanics 28 SIAM Journal on Mathematical Analysis 28 Communications in Nonlinear Science and Numerical Simulation 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 23 Journal of Scientific Computing 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Acta Mechanica Sinica. (English Edition) 22 Communications in Numerical Methods in Engineering 21 Journal of Differential Equations 21 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 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Science in China. Series E 16 Nonlinear Analysis. Real World Applications 15 Applied Numerical Mathematics 15 Journal of Non-Equilibrium Thermodynamics 15 Journal of Vibration and Control 15 Sādhanā 15 Granular Matter 15 Communications in Computational Physics 14 Archives of Mechanics 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 SIAM Journal on Numerical Analysis 14 Inverse Problems in Science and Engineering 14 Advances in Applied Mathematics and Mechanics 13 Applicable Analysis 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 12 Computational Mathematics and Modeling 12 Discrete and Continuous Dynamical Systems. Series B 12 Theoretical and Applied Mechanics ...and 319 more Journals
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### Cited in 58 Fields

 13,022 Mechanics of deformable solids (74-XX) 1,103 Numerical analysis (65-XX) 1,055 Partial differential equations (35-XX) 781 Fluid mechanics (76-XX) 729 Statistical mechanics, structure of matter (82-XX) 470 Calculus of variations and optimal control; optimization (49-XX) 444 Biology and other natural sciences (92-XX) 414 Classical thermodynamics, heat transfer (80-XX) 219 Optics, electromagnetic theory (78-XX) 139 Integral equations (45-XX) 137 Mechanics of particles and systems (70-XX) 104 Geophysics (86-XX) 89 Dynamical systems and ergodic theory (37-XX) 83 Real functions (26-XX) 79 Ordinary differential equations (34-XX) 70 Quantum theory (81-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 66 Differential geometry (53-XX) 56 Operator theory (47-XX) 50 Operations research, mathematical programming (90-XX) 49 Functions of a complex variable (30-XX) 43 Computer science (68-XX) 38 Functional analysis (46-XX) 35 Systems theory; control (93-XX) 34 Probability theory and stochastic processes (60-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Statistics (62-XX) 26 History and biography (01-XX) 24 Integral transforms, operational calculus (44-XX) 23 Measure and integration (28-XX) 18 Convex and discrete geometry (52-XX) 17 Approximations and expansions (41-XX) 16 General and overarching topics; collections (00-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Potential theory (31-XX) 15 Special functions (33-XX) 12 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 9 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 7 Difference and functional equations (39-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 5 Sequences, series, summability (40-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)