×

zbMATH — the first resource for mathematics

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: 2,683 Publications (since 1955)
References Indexed: 2,633 Publications with 81,303 References.
all top 5

Authors

50 Willis, John Raymond
40 Fleck, Norman A.
40 Hill, Rodney
36 Huang, Yonggang Young
36 Hutchinson, John Woodside
36 Ortiz, Michael
34 Gao, Huajian
33 Triantafyllidis, Nicolas
32 Ponte Castañeda, Pedro
31 Needleman, Alan
29 Rice, James Robert
24 Tvergaard, Viggo
23 Drugan, W. J.
22 Gurtin, Morton Edward
22 van der Giessen, Erik
20 Bigoni, Davide
20 Slepyan, Leonid I.
19 Rosakis, Ares J.
18 Acharya, Amit
18 McMeeking, Robert M.
17 Boyce, Mary C.
17 Movchan, Alexander B.
16 Anand, Lallit
16 Bhattacharya, Kaushik
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 Miehe, Christian
14 Milton, Graeme Walter
14 Parks, David M.
13 Bower, Allan F.
13 Nemat-Nasser, Sia
13 Storåkers, Bertil
12 Hwang, Keh-Chi
12 Leblond, Jean-Baptiste
12 Ogden, Raymond William
11 Evans, Anthony G.
11 Hills, David A.
11 Markenscoff, Xanthippi
11 Molinari, Alain
11 Nix, William D.
11 Petryk, Henryk
11 Truskinovsky, Lev
10 Ciavarella, Michele
10 Fried, Eliot
10 James, Richard D.
10 Liu, Wing Kam
10 Morland, Leslie W.
10 Smyshlyaev, Valery P.
10 Suquet, Pierre-Marie
10 Wright, Thomas W.
9 Achenbach, Jan D.
9 Audoly, Basile
9 Begley, Matthew R.
9 Conti, Sergio
9 Dvorak, George J.
9 Hodge, Philip G. jun.
9 Landis, Chad M.
9 Lazarus, Véronique
9 Loret, Benjamin
9 McDowell, David L.
8 Abeyaratne, Rohan C.
8 Bassani, John L.
8 Curtin, William A.
8 Garikipati, Krishna
8 Gibiansky, Leonid V.
8 Jiang, Hanqing
8 Kuhl, Ellen
8 Leroy, Yves M.
8 Marigo, Jean-Jacques
8 Ni, Luqun
8 Pardoen, Thomas
8 Peigney, Michaël
8 Ponter, Alan R. S.
8 Ravichandran, Guruswami
8 Thompson, John Michael T.
8 Weng, George J.
7 Barnett, David M.
7 Berry, D. S.
7 Busso, Esteban P.
7 Ciarletta, Pasquale
7 Cowin, Stephen C.
7 Cox, Brian N.
7 Geubelle, Philippe H.
7 Govindjee, Sanjay
7 Hashin, Zvi
7 Levitas, Valery I.
7 Lipton, Robert P.
7 Luciano, Raimondo
7 Onck, Patrick R.
7 Steinmann, Paul
7 Suo, Zhigang
7 Walpole, L. J.
7 Zheng, Quanshui
6 Abraham, Farid Fadlow
...and 2,581 more Authors

Publications by Year

Citations contained in zbMATH Open

2,312 Publications have been cited 32,611 times in 13,905 Documents Cited by Year
A generalized dynamical theory of thermoelasticity. Zbl 0156.22702
Lord, H. W.; Shulman, Y.
592
1967
Revisiting brittle fracture as an energy minimization problem. Zbl 0966.74060
Francfort, G. A.; Marigo, J.-J.
467
1998
Experiments and theory in strain gradient elasticity. Zbl 1077.74517
Lam, D. C. C.; Yang, F.; Chong, A. C. M.; Wang, J.; Tong, P.
425
2003
Reformulation of elasticity theory for discontinuities and long-range forces. Zbl 0970.74030
Silling, S. A.
423
2000
Elastic properties of reinforced solids: Some theoretical principles. Zbl 0114.15804
Hill, R.
411
1963
A variational approach to the theory of the elastic behaviour of multiphase materials. Zbl 0108.36902
Hashin, Z.; Shtrikman, S.
409
1963
Numerical experiments in revisited brittle fracture. Zbl 0995.74057
Bourdin, B.; Francfort, G. A.; Marigo, J-J.
303
2000
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. Zbl 0235.73002
Rice, J. R.
259
1971
Numerical simulations of fast crack growth in brittle solids. Zbl 0825.73579
Xu, X.-P.; Needleman, Alan
253
1994
A reformulation of strain gradient plasticity. Zbl 1033.74006
Fleck, N. A.; Hutchinson, J. W.
247
2001
Fracture mechanics for piezoelectric ceramics. Zbl 0825.73584
Suo, Z.; Kuo, C.-M.; Barnett, D. M.; Willis, J. R.
239
1992
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.
226
2008
A phenomenological theory for strain gradient effects in plasticity. Zbl 0791.73029
Fleck, N. A.; Hutchinson, J. W.
225
1993
A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Zbl 1355.74020
Arruda, Ellen M.; Boyce, Mary C.
223
1993
Indentation size effects in crystalline materials: a law for strain gradient plasticity. Zbl 0977.74557
Nix, William D.; Gao, Huajian
203
1998
Solutions for effective shear properties in three phase sphere and cylinder models. Zbl 0419.73007
Christensen, R. M.; Lo, K. H.
199
1979
Mechanism-based strain gradient plasticity. I: Theory. Zbl 0982.74013
Gao, H.; Huang, Y.; Nix, W. D.; Hutchinson, J. W.
188
1999
Bounds and self-consistent estimates for the overall properties of anisotropic composites. Zbl 0363.73014
Willis, J. R.
183
1977
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
172
2002
Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments. Zbl 1426.74257
Amor, Hanen; Marigo, Jean-Jacques; Maurini, Corrado
168
2009
A general theory of uniqueness and stability in elastic-plastic solids. Zbl 0091.40301
Hill, R.
161
1958
Continuum micro-mechanics of elastoplastic polycrystals. Zbl 0127.15302
Hill, R.
160
1965
Nonconvex energy minimization and dislocation structures in ductile single crystals. Zbl 0964.74012
Ortiz, M.; Repetto, E. A.
156
1999
The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052
Ponte Castañeda, P.
150
1991
Acceleration waves in solids. Zbl 0111.37701
Hill, R.
137
1962
The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. Zbl 0775.73218
Tvergaard, Viggo; Hutchinson, John W.
136
1992
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.
136
2005
Plane strain deformation near a crack tip in a power-law hardening material. Zbl 0166.20703
Rice, J. R.; Rosengren, G. F.
132
1968
Singular behaviour at the end of a tensile crack in a hardening material. Zbl 0166.20704
Hutchinson, J. W.
132
1968
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.
129
2015
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.
126
1999
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
125
2000
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
Acharya, A.; Bassani, J. L.
120
2000
A unified treatment of strain gradient plasticity. Zbl 1114.74366
Gudmundson, Peter
120
2004
On the driving traction acting on a surface of strain discontinuity in a continuum. Zbl 0713.73030
Abeyaratne, Rohan; Knowles, James K.
118
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.
114
1995
On constitutive inequalities for simple materials. I. Zbl 0162.28702
Hill, R.
101
1968
Bifurcation phenomena in the plane tension test. Zbl 0331.73048
Hill, R.; Hutchinson, J. W.
101
1975
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
99
2005
Microstructure-dependent couple stress theories of functionally graded beams. Zbl 1270.74114
Reddy, J. N.
96
2011
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.
95
1996
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
94
2005
A variational approach to the theory of the elastic behaviour of polycrystals. Zbl 0119.40105
Hashin, Z.; Shtrikman, S.
93
1963
Constitutive analysis of elastic-plastic crystals at arbitrary strain. Zbl 0254.73031
Hill, R.; Rice, J. R.
92
1972
Mechanism-based strain gradient plasticity. II: Analysis. Zbl 0990.74016
Huang, Y.; Gao, H.; Nix, W. D.; Hutchinson, J. W.
89
2000
Strain localization in ductile single crystals. Zbl 0375.73097
Asaro, R. J.; Rice, J. R.
88
1977
An analysis of the quasicontinuum method. Zbl 1002.74008
Knap, J.; Ortiz, M.
87
2001
Thin interphase/imperfect interface in elasticity with application to coated fiber composites. Zbl 1080.74006
Hashin, Zvi
87
2002
On uniqueness and stability in the theory of finite elastic strain. Zbl 0080.18004
Hill, R.
81
1957
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
81
2001
An extended model for void growth and coalescence. Zbl 1005.74059
Pardoen, T.; Hutchinson, J. W.
78
2000
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.
76
1993
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.
76
2004
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.
76
2007
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
Ponte Castañeda, P.
73
1996
The influence of plasticity on mixed mode interface toughness. Zbl 0775.73219
Tvergaard, Viggo; Hutchinson, John W.
73
1993
A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Zbl 1120.74323
Benveniste, Y.
73
2006
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
Ponte Castañeda, Pedro
72
2002
An extension of the self-consistent scheme to plastically-flowing polycrystals. Zbl 0395.73033
Berveiller, M.; Zaoui, A.
71
1978
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.
70
2002
Growth and instability in elastic tissues. Zbl 1120.74336
Ben Amar, Martine; Goriely, Alain
70
2005
On bounds for the overall elastic moduli of inhomogeneous systems. I. Zbl 0139.18701
Walpole, L. J.
70
1966
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
Arroyo, Marino; Belytschko, Ted
69
2002
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
69
1993
Contact of dissimilar elastic cylinders under normal and tangential loading. Zbl 0631.73097
Nowell, D.; Hills, D. A.; Sackfield, A.
68
1988
A theory of coupled diffusion and large deformation in polymeric gels. Zbl 1162.74313
Hong, Wei; Zhao, Xuanhe; Zhou, Jinxiong; Suo, Zhigang
68
2008
Laws of crack motion and phase-field models of fracture. Zbl 1421.74089
Hakim, Vincent; Karma, Alain
68
2009
Multiple interacting circular nano-inhomogeneities with surface/interface effects. Zbl 1171.74398
Mogilevskaya, Sofia G.; Crouch, Steven L.; Stolarski, Henryk K.
66
2008
Constitutive modeling of the large strain time-dependent behavior of elastomers. Zbl 1056.74500
Bergström, J. S.; Boyce, M. C.
65
1998
Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012
Milton, Graeme W.; Kohn, Robert V.
64
1988
Poromechanics of freezing materials. Zbl 1120.74447
Coussy, Olivier
64
2005
Overall moduli of solids with microcracks: load-induced anisotropy. Zbl 0506.73097
Horii, H.; Nemat-Nasser, S.
63
1983
Crack-tip problem in non-local elasticity. Zbl 0375.73083
Eringen, A. C.; Speziale, C. G.; Kim, B. S.
63
1977
A nonlinear field theory of deformable dielectrics. Zbl 1171.74345
Suo, Zhigang; Zhao, Xuanhe; Greene, William H.
63
2008
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.
62
2000
A general anisotropic yield criterion using bounds and a transformation weighting tensor. Zbl 0792.73029
Karafillis, A. P.; Boyce, M. C.
62
1993
Localized necking in thin sheets. Zbl 0328.73029
Stören, S.; Rice, J. R.
62
1975
A constitutive model for ferroelectric polycrystals. Zbl 0973.74026
Huber, J. E.; Fleck, N. A.; Landis, C. M.; McMeeking, R. M.
60
1999
A computational procedure for rate-independent crystal plasticity. Zbl 1054.74549
Anand, L.; Kothari, M.
60
1996
On the overall elastic moduli of composite materials. Zbl 0177.53204
Walpole, L. J.
60
1969
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.
59
2005
Origin of crack tip instabilities. Zbl 0878.73053
Marder, M.; Gross, Steve
58
1995
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Zbl 0821.73005
Hazanov, S.; Huet, C.
58
1994
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.
58
2011
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
57
2003
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
57
2000
A theory of subgrain dislocation structures. Zbl 1001.74007
Ortiz, M.; Repetto, E. A.; Stainier, L.
57
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.
57
1972
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
57
2005
Elastic theory of unconstrained non-Euclidean plates. Zbl 1306.74031
Efrati, E.; Sharon, E.; Kupferman, R.
57
2009
A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046
Bhattacharya, K.; James, R. D.
56
1999
Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. Zbl 1049.74034
Chang, Tienchong; Gao, Huajian
56
2003
A theory of the kinematics of ideal soils under plane strain conditions. Zbl 0125.15208
Spencer, A. J. M.
56
1964
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
55
1992
A continuum model of a thermoelastic solid capable of undergoing phase transitions. Zbl 0825.73058
Abeyaratne, Rohan; Knowles, James K.
55
1993
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065
Smyshlyaev, V. P.; Cherednichenko, K. D.
55
2000
Some basic principles in the mechanics of solids without a natural time. Zbl 0086.17301
Hill, R.
55
1959
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.
55
2008
The mechanics of size-dependent indentation. Zbl 0967.74043
Begley, Matthew R.; Hutchinson, John W.
54
1998
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.
54
2004
A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014
Behzadinasab, Masoud; Foster, John T.
3
2020
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.
1
2019
A gradient-damage theory for fracture of quasi-brittle materials. Zbl 1467.74076
Narayan, Sooraj; Anand, Lallit
1
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
9
2018
A general multiscale framework for the emergent effective elastodynamics of metamaterials. Zbl 1441.74135
Sridhar, A.; Kouznetsova, V. G.; Geers, M. G. D.
7
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.
4
2018
Progressive damage and rupture in polymers. Zbl 1441.74025
Talamini, Brandon; Mao, Yunwei; Anand, Lallit
3
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.
2
2018
Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation. Zbl 1445.74022
Amabili, Marco
2
2018
Mechanics of inter-modal tunneling in nonlinear waveguides. Zbl 1441.74099
Jiao, Weijian; Gonella, Stefano
1
2018
Level repulsion and band sorting in phononic crystals. Zbl 1441.74053
Lu, Yan; Srivastava, Ankit
1
2018
Thermodynamic dislocation theory for non-uniform plastic deformations. Zbl 1441.74039
Le, K. C.
1
2018
Effect of surface tension on the behavior of adhesive contact based on Lennard-Jones potential law. Zbl 1441.74137
Zhu, Xinyao; Xu, Wei
1
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
1
2018
Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries. Zbl 1441.74040
Peigney, Michaël
1
2018
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
1
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.
1
2018
Rate-independent dissipation in phase-field modelling of displacive transformations. Zbl 1441.74147
Tůma, K.; Stupkiewicz, S.; Petryk, H.
1
2018
A theory for fracture of polymeric gels. Zbl 1441.74023
Mao, Yunwei; Anand, Lallit
1
2018
Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces. Zbl 1443.74161
Vattré, Aurelien; Pan, E.
1
2018
Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040
Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot
1
2018
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
1
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
1
2018
The atomistic representation of first strain-gradient elastic tensors. Zbl 1444.74007
Admal, Nikhil Chandra; Marian, Jaime; Po, Giacomo
2
2017
Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces. Zbl 1442.74026
Bacigalupo, Andrea; Gambarotta, Luigi
2
2017
Variational coarse-graining procedure for dynamic homogenization. Zbl 1442.74190
Liu, Chenchen; Reina, Celia
2
2017
Morphoelastic rods. II: Growing birods. Zbl 1443.74211
Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain
1
2017
Elastic rods with incompatible strain: macroscopic versus microscopic buckling. Zbl 1442.74075
Lestringant, Claire; Audoly, Basile
1
2017
Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion. Zbl 1442.74093
Dayal, Kaushik
1
2017
Elastic strain relaxation in interfacial dislocation patterns. I: A parametric energy-based framework. Zbl 1442.74051
Vattré, Aurelien
1
2017
Elastic strain relaxation in interfacial dislocation patterns. II: From long- and short-range interactions to local reactions. Zbl 1442.74050
Vattré, A.
1
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
1
2017
Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. Zbl 1451.74198
Idiart, Martín I.; Lahellec, Noel
2
2016
The elasto-plastic exquisite corpse: A suquet legacy. Zbl 1445.74011
Francfort, Gilles A.; Giacomini, Alessandro; Marigo, Jean-Jacques
1
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.
1
2016
Quasi-static responses and variational principles in gradient plasticity. Zbl 1451.74054
Nguyen, Quoc-Son
1
2016
Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040
Allaire, G.; Delgado, G.
1
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.
129
2015
Willis elastodynamic homogenization theory revisited for periodic media. Zbl 1349.74302
Nassar, H.; He, Q.-C.; Auffray, N.
21
2015
Modelling the torsion of thin metal wires by distortion gradient plasticity. Zbl 1349.74072
Bardella, Lorenzo; Panteghini, Andrea
14
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.
10
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.
10
2015
Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. Zbl 1349.74071
Wulfinghoff, Stephan; Forest, Samuel; Böhlke, Thomas
9
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
9
2015
On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture. Zbl 1349.74033
Grassl, P.; Fahy, C.; Gallipoli, D.; Wheeler, S. J.
8
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.
8
2015
On a molecular statistical basis for Ogden’s model of rubber elasticity. Zbl 1349.82168
Ehret, Alexander E.
6
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.
4
2015
The post-buckling behavior of a beam constrained by springy walls. Zbl 1349.74142
Katz, Shmuel; Givli, Sefi
4
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
3
2015
Asymptotic homogenization of three-dimensional thermoelectric composites. Zbl 1349.74029
Yang, Yang; Lei, Chihou; Gao, Cun-Fa; Li, Jiangyu
3
2015
On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154
Yavari, Arash; Goriely, Alain
3
2015
Multiscale mechanics of macromolecular materials with unfolding domains. Zbl 1349.74285
De Tommasi, D.; Puglisi, G.; Saccomandi, G.
3
2015
Coalescence of voids by internal necking: theoretical estimates and numerical results. Zbl 1349.74039
Morin, Léo; Leblond, Jean-Baptiste; Benzerga, A. Amine
2
2015
Forerunning mode transition in a continuous waveguide. Zbl 1349.74228
Slepyan, Leonid; Ayzenberg-Stepanenko, Mark; Mishuris, Gennady
2
2015
Dissipation consistent fabric tensor definition from DEM to continuum for granular media. Zbl 1349.74047
Li, X. S.; Dafalias, Y. F.
2
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.
2
2015
Morphoelastic control of gastro-intestinal organogenesis: theoretical predictions and numerical insights. Zbl 1349.74259
Balbi, V.; Kuhl, E.; Ciarletta, P.
2
2015
Multiaxial yield surface of transversely isotropic foams. I: Modeling. Zbl 1349.74077
Ayyagari, Ravi Sastri; Vural, Murat
1
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
1
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
1
2015
Steady and transient sliding under rate-and-state friction. Zbl 1349.74268
Putelat, Thibaut; Dawes, Jonathan H. P.
1
2015
Microscopically derived free energy of dislocations. Zbl 1349.74286
Kooiman, M.; Hütter, M.; Geers, M. G. D.
1
2015
Cnoidal waves in solids. Zbl 1349.74212
Veveakis, E.; Regenauer-Lieb, K.
1
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
1
2015
Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure. Zbl 1323.74012
Miehe, Christian; Schänzel, Lisa-Marie
30
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.
24
2014
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. Zbl 1323.74003
Tupek, M. R.; Radovitzky, R.
21
2014
An energy formulation of continuum magneto-electro-elasticity with applications. Zbl 1303.74017
Liu, Liping
17
2014
Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. Zbl 1323.74052
Taylor, Michael; Bertoldi, Katia; Steigmann, David J.
15
2014
Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling. Zbl 1303.74008
Sicsic, Paul; Marigo, Jean-Jacques; Maurini, Corrado
15
2014
A Cahn-Hilliard-type phase-field theory for species diffusion coupled with large elastic deformations: Application to phase-separating Li-ion electrode materials. Zbl 1328.74042
Di Leo, Claudio V.; Rejovitzky, Elisha; Anand, Lallit
14
2014
Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. Zbl 1328.74075
Kochmann, Dennis M.; Milton, Graeme W.
14
2014
Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003
Levitas, Valery I.
13
2014
Homogenisation for elastic photonic crystals and dynamic anisotropy. Zbl 1328.74048
Antonakakis, T.; Craster, R. V.; Guenneau, S.
13
2014
A numerical basis for strain-gradient plasticity theory: Rate-independent and rate-dependent formulations. Zbl 1303.74010
Nielsen, K. L.; Niordson, C. F.
13
2014
Singularity-free dislocation dynamics with strain gradient elasticity. Zbl 1328.74016
Po, Giacomo; Lazar, Markus; Seif, Dariush; Ghoniem, Nasr
12
2014
Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041
Siboni, Morteza Hakimi; Ponte Castañeda, Pedro
12
2014
Transformation elastodynamics and cloaking for flexural waves. Zbl 1328.74055
Colquitt, D. J.; Brun, M.; Gei, M.; Movchan, A. B.; Movchan, N. V.; Jones, I. S.
12
2014
Variational principles and the related bounding theorems for bi-modulus materials. Zbl 1349.74293
Du, Zongliang; Guo, Xu
12
2014
Large scale modulation of high frequency waves in periodic elastic composites. Zbl 1328.74006
Boutin, Claude; Rallu, Antoine; Hans, Stephane
11
2014
A novel homogenization method for phase field approaches based on partial rank-one relaxation. Zbl 1328.74033
Mosler, J.; Shchyglo, O.; Montazer Hojjat, H.
10
2014
A variational model for fracture and debonding of thin films under in-plane loadings. Zbl 1328.74059
León Baldelli, A. A.; Babadjian, J.-F.; Bourdin, B.; Henao, D.; Maurini, C.
10
2014
The generalized Hill model: a kinematic approach towards active muscle contraction. Zbl 1328.74063
Göktepe, Serdar; Menzel, Andreas; Kuhl, Ellen
10
2014
Flexoelectricity in soft materials and biological membranes. Zbl 1323.74029
Deng, Qian; Liu, Liping; Sharma, Pradeep
9
2014
On the mechanics of growing thin biological membranes. Zbl 1303.74024
Rausch, Manuel K.; Kuhl, Ellen
9
2014
A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials. I. General theory. Zbl 1323.74008
Gao, Xiang; Huang, Zhuping; Qu, Jianmin; Fang, Daining
8
2014
From coherent to incoherent mismatched interfaces: a generalized continuum formulation of surface stresses. Zbl 1328.74012
Dingreville, Rémi; Hallil, Abdelmalek; Berbenni, Stéphane
8
2014
The role of mechanics during brain development. Zbl 1328.74061
Budday, Silvia; Steinmann, Paul; Kuhl, Ellen
8
2014
Shape control of active surfaces inspired by the movement of euglenids. Zbl 1323.92034
Arroyo, Marino; DeSimone, Antonio
7
2014
Effective moduli of ellipsoidal particle reinforced piezoelectric composites with imperfect interfaces. Zbl 1323.74025
Wang, Z.; Zhu, J.; Jin, Xian Yu; Chen, W. Q.; Zhang, Ch.
7
2014
Central summation in the quasicontinuum method. Zbl 1328.74004
Beex, L. A. A.; Peerlings, R. H. J.; Geers, M. G. D.
7
2014
Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps. Zbl 1328.74052
Kim, Eunho; Yang, Jinkyu
7
2014
Asymptotic analysis of hierarchical martensitic microstructure. Zbl 1328.74070
Cesana, Pierluigi; Porta, Marcel; Lookman, Turab
7
2014
Hyper-QC: An accelerated finite-temperature quasicontinuum method using hyperdynamics. Zbl 1303.74007
Kim, W. K.; Luskin, M.; Perez, D.; Voter, A. F.; Tadmor, E. B.
7
2014
Computational strain gradient crystal plasticity. Zbl 1323.74021
Niordson, Christian F.; Kysar, Jeffrey W.
6
2014
A computational homogenization approach for Li-ion battery cells. I. – Formulation. Zbl 1323.74063
Salvadori, A.; Bosco, E.; Grazioli, D.
6
2014
Exact results for the local fields and the effective moduli of fibrous composites with thickly coated fibers. Zbl 1328.74032
Benveniste, Y.
6
2014
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
5
2014
Straightening wrinkles. Zbl 1323.74013
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
5
2014
...and 1651 more Documents
all top 5

Cited by 13,783 Authors

89 Steinmann, Paul
78 Wang, Xu
72 Miehe, Christian
69 Liu, Wing Kam
64 Ortiz, Michael
64 Sevostianov, Igor
55 Fleck, Norman A.
54 Geers, Marc G. D.
53 Huang, Yonggang Young
53 Willis, John Raymond
53 Wriggers, Peter
52 Schiavone, Peter
49 Ponte Castañeda, Pedro
49 Stefanelli, Ulisse
48 Rabczuk, Timon
45 Gao, Huajian
43 Conti, Sergio
42 Bigoni, Davide
42 Ogden, Raymond William
42 Tvergaard, Viggo
41 Chen, Weiqiu
40 Reddy, Junuthula Narasimha
39 Belytschko, Ted Bohdan
39 Du, Qiang
39 Movchan, Alexander B.
38 Neff, Patrizio
37 Acharya, Amit
37 Goriely, Alain
36 Mukhopadhyay, Santwana
35 Needleman, Alan
34 Gurtin, Morton Edward
34 Mishuris, Gennady S.
34 Truskinovsky, Lev
33 Li, Shaofan
33 Roubíček, Tomáš
32 Rodríguez-Ramos, Reinaldo
32 Wick, Thomas
31 Triantafyllidis, Nicolas
30 Fish, Jacob
30 Marigo, Jean-Jacques
30 Milton, Graeme Walter
30 Svendsen, Bob
30 Zhang, Chuanzeng
29 Javili, Ali
29 Menzel, Andreas M.
29 Mielke, Alexander
29 Wang, Yuesheng
28 Ansari, Reza
28 Deshpande, Vikram S.
28 Forest, Samuel
28 Gao, Cun-Fa
28 He, Qichang
28 Hutchinson, John Woodside
28 Kuhl, Ellen
28 Kumar, Rajneesh
28 van der Giessen, Erik
28 Weng, George J.
27 Bhattacharya, Kaushik
27 Lopez-Pamies, Oscar
27 Sabina, Federico J.
27 Wineman, Alan S.
26 Horgan, Cornelius Oliver
26 Mosler, Jörn
26 Zohdi, Tarek I.
25 Benveniste, Yakov
25 Drozdov, Aleksey D.
25 Eremeyev, Victor A.
25 Ganghoffer, Jean-François
25 Hackl, Klaus
25 Rosakis, Ares J.
24 de Borst, René
24 Niordson, Christian F.
24 Placidi, Luca
24 Quintanilla de Latorre, Ramón
24 Reddy, B. Dayanand
24 Schröder, Jörg
24 Steigmann, David J.
23 Aifantis, Elias C.
23 Anand, Lallit
23 Ghosh, Somnath
23 Gunzburger, Max D.
23 Holzapfel, Gerhard Alfred
23 James, Richard D.
23 Kondo, Djimédo
23 Lipton, Robert P.
23 Ortner, Christoph
23 Othman, Mohamed Ibrahim Ahmed
23 Singh, Baljeet
23 Sun, WaiChing
22 Bravo-Castillero, Julián
22 de Lorenzis, Laura
22 Ezzat, Magdy A.
22 Ghayesh, Mergen H.
22 Guinovart-Díaz, Raúl
22 Idiart, Martín I.
22 Marotti de Sciarra, Francesco
22 Ostoja-Starzewski, Martin
22 Rubin, Miles B.
22 Slepyan, Leonid I.
22 Suquet, Pierre-Marie
...and 13,683 more Authors
all top 5

Cited in 414 Journals

1,691 Journal of the Mechanics and Physics of Solids
1,263 Computer Methods in Applied Mechanics and Engineering
1,004 Acta Mechanica
849 European Journal of Mechanics. A. Solids
751 International Journal of Engineering Science
547 International Journal of Solids and Structures
502 Computational Mechanics
475 Mathematics and Mechanics of Solids
393 Journal of Elasticity
362 International Journal for Numerical Methods in Engineering
306 Applied Mathematical Modelling
274 International Journal of Fracture
259 Continuum Mechanics and Thermodynamics
241 Meccanica
235 International Journal of Plasticity
204 ZAMP. Zeitschrift für angewandte Mathematik und Physik
192 Archive of Applied Mechanics
187 Archive for Rational Mechanics and Analysis
175 Engineering Analysis with Boundary Elements
146 Acta Mechanica Sinica
143 Journal of Computational Physics
143 Applied Mathematics and Mechanics. (English Edition)
138 Wave Motion
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
87 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
67 International Journal for Numerical and Analytical Methods in Geomechanics
66 Computers & Mathematics with Applications
59 Journal of Theoretical Biology
54 Journal of Applied Mathematics and Mechanics
50 Mathematical Problems in Engineering
44 Archives of Computational Methods in Engineering
44 International Journal of Computational Methods
42 Journal of Mathematical Analysis and Applications
42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
41 AMM. Applied Mathematics and Mechanics. (English Edition)
40 SIAM Journal on Applied Mathematics
39 Physica D
39 Calculus of Variations and Partial Differential Equations
39 Engineering Computations
37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
36 Journal of Computational and Applied Mathematics
36 Journal of Nonlinear Science
36 Journal of Applied Mechanics and Technical Physics
35 Journal of Fluid Mechanics
34 Mathematical Methods in the Applied Sciences
34 Multiscale Modeling & Simulation
31 Ingenieur-Archiv
30 Structural and Multidisciplinary Optimization
29 Journal of Mathematical Physics
28 Soviet Applied Mechanics
27 SIAM Journal on Mathematical Analysis
26 Nonlinear Dynamics
25 Communications in Nonlinear Science and Numerical Simulation
25 Computational Geosciences
25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
24 International Applied Mechanics
24 GAMM-Mitteilungen
22 Mathematical Proceedings of the Cambridge Philosophical Society
22 Journal of Scientific Computing
22 Acta Mechanica Sinica. (English Edition)
22 Communications in Numerical Methods in Engineering
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 Journal of Differential Equations
18 Prikladnaya Matematika i Mekhanika
18 Quarterly of Applied Mathematics
18 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
18 Discrete and Continuous Dynamical Systems. Series S
18 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
16 Journal of Optimization Theory and Applications
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Science in China. Series E
15 Journal of Non-Equilibrium Thermodynamics
15 Journal of Vibration and Control
15 Nonlinear Analysis. Real World Applications
15 Sādhanā
15 Granular Matter
15 Communications in Computational Physics
14 SIAM Journal on Numerical Analysis
14 Applied Numerical Mathematics
14 Inverse Problems in Science and Engineering
13 Applicable Analysis
13 International Journal of Heat and Mass Transfer
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 European Journal of Applied Mathematics
13 PMM, Journal of Applied Mathematics and Mechanics
12 Archives of Mechanics
12 Mathematics of Computation
12 Discrete and Continuous Dynamical Systems. Series B
12 Theoretical and Applied Mechanics
12 Advances in Applied Mathematics and Mechanics
11 Applied Mathematics Letters
11 Computational Mathematics and Modeling
11 International Journal of Structural Stability and Dynamics
...and 314 more Journals
all top 5

Cited in 57 Fields

12,639 Mechanics of deformable solids (74-XX)
1,060 Numerical analysis (65-XX)
1,028 Partial differential equations (35-XX)
768 Fluid mechanics (76-XX)
705 Statistical mechanics, structure of matter (82-XX)
449 Calculus of variations and optimal control; optimization (49-XX)
409 Classical thermodynamics, heat transfer (80-XX)
405 Biology and other natural sciences (92-XX)
222 Optics, electromagnetic theory (78-XX)
141 Mechanics of particles and systems (70-XX)
138 Integral equations (45-XX)
96 Geophysics (86-XX)
85 Dynamical systems and ergodic theory (37-XX)
77 Real functions (26-XX)
71 Ordinary differential equations (34-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
62 Differential geometry (53-XX)
58 Quantum theory (81-XX)
54 Operator theory (47-XX)
47 Functions of a complex variable (30-XX)
47 Operations research, mathematical programming (90-XX)
40 Computer science (68-XX)
38 Functional analysis (46-XX)
35 Systems theory; control (93-XX)
33 Probability theory and stochastic processes (60-XX)
28 Global analysis, analysis on manifolds (58-XX)
26 Statistics (62-XX)
24 History and biography (01-XX)
23 Integral transforms, operational calculus (44-XX)
20 General and overarching topics; collections (00-XX)
20 Measure and integration (28-XX)
18 Approximations and expansions (41-XX)
17 Convex and discrete geometry (52-XX)
15 Special functions (33-XX)
13 Potential theory (31-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Information and communication theory, circuits (94-XX)
8 Relativity and gravitational theory (83-XX)
7 Combinatorics (05-XX)
7 Topological groups, Lie groups (22-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)
3 Number theory (11-XX)
3 Abstract harmonic analysis (43-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Mathematics education (97-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year