## Journal of Elasticity

### The Physical and Mathematical Science of Solids

 Short Title: J. Elasticity Publisher: Springer Netherlands, Dordrecht ISSN: 0374-3535; 1573-2681/e Online: http://link.springer.com/journal/volumesAndIssues/10659 Comments: Indexed cover-to-cover
 Documents Indexed: 2,075 Publications (since 1972) References Indexed: 1,631 Publications with 36,635 References.
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### Latest Issues

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### Authors

 53 Horgan, Cornelius Oliver 39 Fosdick, Roger L. 22 Batra, Romesh C. 21 Man, Chi-Sing 21 Murphy, Jeremiah G. 21 Ting, Thomas C. T. 20 Fried, Eliot 20 Podio-Guidugli, Paulo 19 Guidugli, Paolo Podio 17 Beatty, Millard F. jun. 17 Knowles, James K. 17 Rubin, Miles B. 17 Spector, Scott J. 16 Abeyaratne, Rohan C. 16 Brock, Louis M. 15 Antman, Stuart S. 15 Chen, Yichao 15 Hoger, Anne 15 Markenscoff, Xanthippi 15 Pence, Thomas J. 15 Rajagopal, Kumbakonam Ramamani 15 Schiavone, Peter 13 Iesan, Dorin 13 Marigo, Jean-Jacques 13 Neff, Patrizio 13 Steigmann, David J. 12 Cowin, Stephen C. 12 Del Piero, Gianpietro 12 Ericksen, Jerald Laverne 12 Ogden, Raymond William 12 Russo, Remigio 12 Wheeler, Lewis T. 11 Gregory, R. Douglas 11 Hayes, Michael Alphonsus 11 Paroni, Roberto 11 Parry, Gareth P. 11 Šilhavý, Miroslav 11 Simmonds, James G. 11 Slawinski, Michael A. 11 Tarantino, Angelo Marcello 10 Carlson, Donald Earle 10 Knops, Robin J. 10 Payne, Lawrence Edward 10 Saccomandi, Giuseppe 10 Sivaloganathan, Jeyabal 10 Vianello, Maurizio 10 Villaggio, Piero 9 Bîrsan, Mircea 9 Boulanger, Philippe 9 Davini, Cesare 9 Epstein, Marcelo 9 Goriely, Alain 9 Gupta, Anurag P. 9 Hill, James Murray 9 Murdoch, A. Ian 9 Naghdi, Paul Mansour 9 Wineman, Alan S. 8 Chandrasekharaiah, D. S. 8 Chen, Peter J. 8 Chiriţă, Stan 8 Ciarletta, Michele 8 Cohen, Harley 8 dell’Isola, Francesco 8 Dhaliwal, Ranjit S. 8 Georgiadis, H. G. 8 Gurtin, Morton Edward 8 O’Reilly, Oliver Mary 8 Quintanilla de Latorre, Ramón 8 Silling, Stewart A. 8 Theocaris, Pericles S. 8 Xiao, Heng 7 Acharya, Amit 7 Carbonaro, Bruno 7 Carroll, Michael M. 7 Comninou, Maria 7 De Tommasi, Domenico 7 Deseri, Luca 7 Ghiba, Ionel-Dumitrel 7 Guo, Zhongheng 7 Huang, Mojia 7 Jiang, Qing 7 Lipton, Robert P. 7 Simpson, Henry C. 7 Sinclair, G. B. 7 Tanuma, Kazumi 7 Unger, David J. 6 Aguiar, Adair Roberto 6 Blume, Janet A. 6 Casey, James 6 Chen, Tungyang 6 Ciarlet, Philippe Gaston 6 Clements, David L. 6 Geymonat, Giuseppe 6 Gladwell, Graham M. L. 6 Griso, Georges 6 Heise, Ulrich 6 Humphrey, Jay D. 6 Keer, Leon M. 6 Morro, Angelo 6 Negrón-Marrero, Pablo V. ...and 1,628 more Authors
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### Fields

 2,005 Mechanics of deformable solids (74-XX) 240 Partial differential equations (35-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 58 Differential geometry (53-XX) 54 Classical thermodynamics, heat transfer (80-XX) 48 Integral equations (45-XX) 43 Statistical mechanics, structure of matter (82-XX) 42 History and biography (01-XX) 39 Biology and other natural sciences (92-XX) 25 Numerical analysis (65-XX) 24 Mechanics of particles and systems (70-XX) 24 Fluid mechanics (76-XX) 18 Potential theory (31-XX) 17 Operator theory (47-XX) 16 Optics, electromagnetic theory (78-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Ordinary differential equations (34-XX) 11 Real functions (26-XX) 11 Functions of a complex variable (30-XX) 9 General and overarching topics; collections (00-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Geophysics (86-XX) 7 Topological groups, Lie groups (22-XX) 7 Integral transforms, operational calculus (44-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)

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1,650 Publications have been cited 14,941 times in 8,858 Documents Cited by Year
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1972
Thermoelasticity without energy dissipation. Zbl 0784.73009
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1993
The variational approach to fracture. Zbl 1176.74018
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2008
A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033
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2000
Peridynamic states and constitutive modeling. Zbl 1120.74003
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2007
Linear elastic materials with voids. Zbl 0523.73008
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1983
The elastic energy-momentum tensor. Zbl 0323.73011
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1975
Equilibrium of bars. Zbl 0324.73067
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1975
Decay rates for viscoelastic plates with memory. Zbl 0876.73037
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1996
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
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2008
On the ellipticity of the equations of nonlinear elastostatics for a special material. Zbl 0323.73010
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1975
A gradient approach to localization of deformation. I. Hyperelastic materials. Zbl 0594.73044
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1986
Bone remodelling. I: Theory of adaptive elasticity. Zbl 0335.73028
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1976
Linearized theory of peridynamic states. Zbl 1188.74008
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2010
A variational definition of the strain energy for an elastic string. Zbl 0734.73094
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1991
On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. Zbl 0422.73038
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1978
A class of variational-hemivariational inequalities in reflexive Banach spaces. Zbl 1368.47045
Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea
2017
The viscoelastic behavior of linear elastic materials with voids. Zbl 0564.73044
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1985
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
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1994
Plane waves in linear elastic materials with voids. Zbl 0564.73027
Puri, Pratap; Cowin, Stephen C.
1985
Deformation of a peridynamic bar. Zbl 1061.74031
Silling, S. A.; Zimmermann, M.; Abeyaratne, R.
2003
Symmetry classes for elasticity tensors. Zbl 0876.73008
Forte, Sandra; Vianello, Maurizio
1996
Quasistatic viscoelastic contact with normal compliance and friction. Zbl 0921.73231
Rochdi, M.; Shillor, M.; Sofonea, M.
1998
Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061
Batra, R. C.; Yang, J. S.
1995
On the determination of residual stress in an elastic body. Zbl 0616.73033
Hoger, Anne
1986
A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results. Zbl 1206.74019
Neff, Patrizio; Forest, Samuel
2007
Nonlinear electroelastic deformations. Zbl 1091.74014
Dorfmann, A.; Ogden, R. W.
2006
On the averaging of symmetric positive-definite tensors. Zbl 1094.74010
Moakher, Maher
2006
A two-dimensional gradient-elasticity theory for woven fabrics. Zbl 1305.74024
dell’Isola, Francesco; Steigmann, David
2015
Computational mechanics of the heart. Zbl 1071.74659
Nash, M. P.; Hunter, P. J.
2000
Nonlocal constrained value problems for a linear peridynamic Navier equation. Zbl 1297.74051
2014
On the dissipation associated with equilibrium shocks in finite elasticity. Zbl 0407.73037
Knowles, James K.
1979
Local symmetry group in the general theory of elastic shells. Zbl 1105.74019
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2006
A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. Zbl 0585.73017
Horgan, C. O.; Abeyaratne, R.
1986
The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012
Horgan, C. O.; Chan, A. M.
1999
Finite strain solutions in compressible isotropic elasticity. Zbl 0654.73030
Carroll, M. M.
1988
Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids. Zbl 0964.74008
Qiu, G. Y.; Pence, T. J.
1997
Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Zbl 1089.74576
Ammari, Habib; Kang, Hyeonbae; Nakamura, Gen; Tanuma, Kazumi
2002
On the stress singularities in the plane elasticity of the composite wedge. Zbl 0426.73021
Dempsey, J. P.; Sinclair, G. B.
1979
A unified approach to dynamic contact problems in viscoelasticity. Zbl 1138.74375
Migórski, Stanisław; Ochal, Anna
2006
The nonlinear theory of elastic shells with phase transitions. Zbl 1058.74058
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
2004
Steady flow of a Navier-Stokes fluid around a rotating obstacle. Zbl 1156.76367
Galdi, Giovanni P.
2003
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
2005
The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris. Zbl 1166.74029
Lancioni, Giovanni; Royer-Carfagni, Gianni
2009
Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory. Zbl 0536.73047
Gregory, R. Douglas; Wan, Frederic Y. M.
1984
A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
2002
A fractional model of continuum mechanics. Zbl 1451.74219
Drapaca, C. S.; Sivaloganathan, S.
2012
A new formula for the $$C$$-matrix in the Somigliana identity. Zbl 0801.73015
Mantič, V.
1993
A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. Zbl 0876.73014
Chandrasekharaiah, D. S.
1996
Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity. Zbl 1058.74045
Georgiadis, H. G.; Vardoulakis, I.; Velgaki, E. G.
2004
Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods. Zbl 0653.73010
Cimetière, A.; Geymonat, G.; Le Dret, Hervé; Raoult, Annie; Tutek, Z.
1988
On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models. Zbl 0819.73008
Triantafyllidis, N; Bardenhagen, S.
1993
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
On Saint-Venant’s principle in linear elastodynamics. Zbl 0891.73010
Chiriţă, S.; Quintanilla, R.
1996
A complete solution of the wave equations for transversely isotropic media. Zbl 1092.74019
2005
Viscoelastic relaxation functions compatible with thermodynamics. Zbl 0661.73019
Fabrizio, M.; Morro, A.
1988
A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. Zbl 0876.73030
Wang, Y.; Aron, M.
1996
An exact derivation of the thin plate equation. Zbl 0692.73049
Podio-Guidugli, P.
1989
Reconciliation of local and global symmetries of crystals. Zbl 0543.73001
Pitteri, M.
1984
Some properties of the set of fourth-order tensors, with application to elasticity. Zbl 0412.73007
Del Piero, Gianpietro
1979
Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids. Zbl 1014.74038
Coleman, Bernard D.; Swigon, David
2000
Discontinuous deformation gradients in plane finite elastostatics of incompressible materials. Zbl 0486.73031
Abeyaratne, Rohan C.
1980
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2013
Determination of $$C^{1/2}$$, $$C^{-1/2}$$ and more general isotropic tensor functions of C. Zbl 0587.73002
Ting, T. C. T.
1985
An average-stretch full-network model for rubber elasticity. Zbl 1073.74013
Beatty, Millard F.
2003
On Poisson’s ratio in linearly viscoelastic solids. Zbl 1098.74013
Lakes, R. S.; Wineman, A.
2006
Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results. Zbl 0286.73076
Knowles, J. K.; Sternberg, Eli
1974
Dynamic brittle fracture as a small horizon limit of peridynamics. Zbl 1309.74065
Lipton, Robert
2014
Hypo-elasticity model based upon the logarithmic stress rate. Zbl 0888.73011
Xiao, H.; Bruhns, O. T.; Meyers, A.
1997
On invertibility of elastic single-layer potential operator. Zbl 1058.74018
Vodička, R.; Mantič, V.
2004
Analysis of plane-strain crack problems (mode-I & mode-II) in the presence of surface elasticity. Zbl 1300.74048
Kim, C. I.; Schiavone, P.; Ru, C.-Q.
2011
Large deformations near a tip of an interface-crack between two Neo- Hookean sheets. Zbl 0546.73079
Knowles, J. K.; Sternberg, Eli
1983
On the shape of the Eshelby inclusions. Zbl 0906.73014
Markenscoff, Xanthippi
1998
Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044
Ciarlet, Philippe G.; Lods, Véronique
1996
The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry. Zbl 1104.74014
Moakher, Maher; Norris, Andrew N.
2006
On the anti-plane shear problem in finite elasticity. Zbl 0496.73036
Gurtin, Morton E.; Temam, Roger
1981
A unified interpretation of stress in molecular systems. Zbl 1260.74005
2010
Strain rates and material spins. Zbl 0946.74004
Xiao, Heng; Timme Bruhns, Otto; Meyers, Albert Thomas Marie
1998
SH surface waves in a homogeneous gradient-elastic half-space with surface energy. Zbl 0912.73016
1997
Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation. I: Mechanical equilibrium. II: Kink band stability and maximally dissipative band broadening. Zbl 1007.74022
Merodio, Jose; Pence, Thomas J.
2001
On the strong ellipticity of the anisotropic linearly elastic materials. Zbl 1109.74008
Chiriţă, Stan; Danescu, Alexandre; Ciarletta, Michele
2007
The Hertz contact problem with finite friction. Zbl 0333.73012
Spence, D. A.
1975
Bone remodeling. II: Small strain adaptive elasticity. Zbl 0342.73069
Hegedus, D. H.; Cowin, S. C.
1976
On $$\nu +1$$-lattices. Zbl 0568.73112
Pitteri, Mario
1985
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
1993
The fundamental theorem of surface theory for surfaces with little regularity. Zbl 1076.53003
Mardare, Sorin
2003
Energy inequalities and the domain of influence theorem in classical elastodynamics. Zbl 0547.73011
Carbonaro, Bruno; Russo, Remigio
1984
On the existence of minimizers with prescribed singular points in nonlinear elasticity. Zbl 0987.74016
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
Finite scale microstructures in nonlocal elasticity. Zbl 0990.74007
Ren, Xiaofeng; Truskinovsky, Lev
2000
On the derivative of the square root of a tensor and Guo’s rate theorems. Zbl 0576.73004
Hoger, Anne; Carlson, Donald E.
1984
The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. Zbl 0631.73016
Antman, Stuart S.; Negrón-Marrero, Pablo V.
1987
Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid. Zbl 0634.73041
Silling, S. A.
1988
Koiter’s shell theory from the perspective of three-dimensional nonlinear elasticity. Zbl 1315.74016
Steigmann, David J.
2013
On the active response of soft living tissues. Zbl 1115.74349
Nardinocchi, Paola; Teresi, Luciano
2007
Shear and necking instabilities in nonlinear elasticity. Zbl 0356.73048
Antman, Stuart S.; Carbone, Ernest R.
1977
An explicit formula for the minimum free energy in linear viscoelasticity. Zbl 0948.74011
Deseri, Luca; Gentili, Giorgio; Golden, Murrough
1999
The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions. Zbl 0473.73010
Gregory, R. D.
1980
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David
2018
Eshelby tensor of a polygonal inclusion and its special properties. Zbl 1051.74004
Kawashita, Mishio; Nozaki, Hideaki
2001
On the size of RVE in finite elasticity of random composites. Zbl 1104.74008
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
Asymptotic analysis of elliptic membrane shells in thermoelastodynamics. Zbl 1466.74024
Cao-Rial, M. T.; Castiñeira, G.; Rodríguez-Arós, Á.; Roscani, S.
2021
Potential method in the coupled theory of viscoelasticity of porous materials. Zbl 1470.74018
2021
Discrete kernel functions for fcc crystals within Eringen’s nonlocal theory of elasticity. Zbl 1467.74021
Shodja, H. M.; Shahvaghar-Asl, S.
2021
Equilibrium and stability of anisotropic hyperelastic graphene membranes. Zbl 1470.74045
Pelliciari, Matteo; Tarantino, Angelo Marcello
2021
Need the uniform stress field inside multiple interacting inclusions be hydrostatic? Zbl 1465.74020
Dai, Ming; Schiavone, Peter
2021
BMO and elasticity: Korn’s inequality; local uniqueness in tension. Zbl 1465.74026
Spector, Daniel E.; Spector, Scott J.
2021
Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking. Zbl 1466.35273
Liu, Hongyu; Tsui, Wing Yan; Wahab, Abdul; Wang, Xianchao
2021
Some remarks on the weakly nonlinear theory of isotropic elasticity. Zbl 1481.74076
Saccomandi, Giuseppe; Vergori, Luigi
2021
Minimal functional bases for elasticity tensor symmetry classes. Zbl 1481.74064
Desmorat, R.; Auffray, N.; Desmorat, B.; Olive, M.; Kolev, B.
2021
Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures. Zbl 1435.35378
Magaña, Antonio; Quintanilla, Ramón
2020
Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model. Zbl 1433.74009
d&rsquo;Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Eidel, Bernhard; Neff, Patrizio; Madeo, Angela
2020
Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347
Deng, Youjun; Li, Hongjie; Liu, Hongyu
2020
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. Zbl 1433.74014
Neff, Patrizio; Eidel, Bernhard; d&rsquo;Agostino, Marco Valerio; Madeo, Angela
2020
Homogenization approach and Bloch-Floquet theory for band-gap prediction in 2D locally resonant metamaterials. Zbl 1433.74091
Comi, Claudia; Marigo, Jean-Jacques
2020
The bending of beams in finite elasticity. Zbl 1433.74029
Lanzoni, Luca; Tarantino, Angelo Marcello
2020
Equilibrium paths for von Mises trusses in finite elasticity. Zbl 1434.74027
Pelliciari, Matteo; Tarantino, Angelo Marcello
2020
Higher Sobolev regularity of convex integration solutions in elasticity: the planar geometrically linearized hexagonal-to-rhombic phase transformation. Zbl 1431.74016
Rüland, Angkana; Zillinger, Christian; Zwicknagl, Barbara
2020
The Stokes paradox in inhomogeneous elastostatics. Zbl 1459.74017
Ferone, Adele; Russo, Remigio; Tartaglione, Alfonsina
2020
The isotropic Cosserat shell model including terms up to $$O(h^5)$$. I: Derivation in matrix notation. Zbl 1456.74116
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
2020
The isotropic Cosserat shell model including terms up to $$O(h^5)$$. II: Existence of minimizers. Zbl 1456.49040
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
2020
Mechanics of high-flexible beams under live loads. Zbl 1440.74067
Lanzoni, Luca; Tarantino, Angelo Marcello
2020
Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero. Zbl 1450.35249
Bellido, J. C.; Cueto, J.; Mora-Corral, C.
2020
Generalized Euclidean distances for elasticity tensors. Zbl 1434.74020
Morin, Léo; Gilormini, Pierre; Derrien, Katell
2020
Recovering the normal form and symmetry class of an elasticity tensor. Zbl 1456.74012
Abramian, S.; Desmorat, B.; Desmorat, R.; Kolev, B.; Olive, M.
2020
Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions. Zbl 1456.74093
Touboul, Marie; Pham, Kim; Maurel, Agnès; Marigo, Jean-Jacques; Lombard, Bruno; Bellis, Cédric
2020
Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation. Zbl 1458.35041
Gómez, Delfina; Nazarov, Sergei A.; Pérez-Martínez, María-Eugenia
2020
The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021
Goodbrake, Christian; Yavari, Arash; Goriely, Alain
2020
Equilibrium for multiphase solids with Eulerian interfaces. Zbl 1459.74151
Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse
2020
A Naghdi type nonlinear model for shells with little regularity. Zbl 1456.74118
Ljulj, Matko; Tambača, Josip
2020
A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry. Zbl 1440.74104
Harutyunyan, Davit
2020
Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model. Zbl 1440.74192
Baranova, S.; Mogilevskaya, S. G.; Mantič, V.; Jiménez-Alfaro, S.
2020
Generalization of plane stress and plane strain states to elastic plates of finite thickness. Zbl 1440.74007
Li, Xian-Fang; Hu, Zhen-Liang
2020
Extension-torsion-inflation coupling in compressible magnetoelastomeric thin tubes with helical magnetic anisotropy. Zbl 1440.74064
Barreto, Darius Diogo; Kumar, Ajeet; Santapuri, Sushma
2020
Energy minimising configurations of pre-strained multilayers. Zbl 1440.74197
Delgado, Miguel de Benito; Schmidt, Bernd
2020
Growth and non-metricity in Föppl-von Kármán shells. Zbl 1440.74093
Roychowdhury, Ayan; Gupta, Anurag
2020
An equivalent indentation method for the external crack with a Dugdale cohesive zone. Zbl 1447.74041
Jin, Fan; Yue, Donghua
2020
Dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer. Zbl 1447.49021
Bonetti, Elena; Bonfanti, Giovanna; Licht, Christian; Rossi, Riccarda
2020
Homogenization of perforated elastic structures. Zbl 1450.35039
Griso, Georges; Khilkova, Larysa; Orlik, Julia; Sivak, Olena
2020
On structural theories for ionic polymer metal composites: balancing between accuracy and simplicity. Zbl 1447.74012
Boldini, Alain; Bardella, Lorenzo; Porfiri, Maurizio
2020
Maximum-entropy based estimates of stress and strain in thermoelastic random heterogeneous materials. Zbl 1448.74025
Krause, Maximilian; Böhlke, Thomas
2020
Nonlinear propagation of coupled first- and second-sound waves in thermoelastic solids. Zbl 1431.74007
Sellitto, A.; Cimmelli, V. A.; Jou, D.
2020
The complementing and Agmon’s conditions in finite elasticity. Zbl 1433.74030
Simpson, Henry C.
2020
On purely mechanical simple kinematic internal constraints. Zbl 1433.74008
2020
Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields. Zbl 1433.74037
Pandey, Animesh; Gupta, Anurag
2020
Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure. Zbl 1436.53004
Arroyo, Josu J.; Garay, Óscar J.; Pámpano, Álvaro
2020
Finite third-order gradient elastoplasticity and thermoplasticity. Zbl 1434.74036
Reiher, Jörg Christian; Bertram, Albrecht
2020
On the planar elastica, stress, and material stress. Zbl 1415.74035
Singh, H.; Hanna, J. A.
2019
An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form. Zbl 1415.74008
Zemlyanova, Anna Y.
2019
The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011
Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R.
2019
Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. Zbl 1428.35573
Caubet, Fabien; Kateb, Djalil; Le Louër, Frédérique
2019
The number of independent invariants for $$n$$ symmetric second order tensors. Zbl 1411.74021
Shariff, M. H. B. M.
2019
Likely cavitation in stochastic elasticity. Zbl 1425.74084
Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain
2019
Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials. Zbl 1411.74048
Lobos Fernández, Mauricio; Böhlke, Thomas
2019
History-dependent inequalities for contact problems with locking materials. Zbl 1469.49015
Sofonea, Mircea
2019
On the role of curvature in the elastic energy of non-Euclidean thin bodies. Zbl 1412.74042
Maor, Cy; Shachar, Asaf
2019
Integral-type stress boundary condition in the complete Gurtin-Murdoch surface model with accompanying complex variable representation. Zbl 1412.74008
Dai, Ming; Wang, Yong-Jian; Schiavone, Peter
2019
Explicit relaxation of a two-well Hadamard energy. Zbl 1415.74005
Grabovsky, Yury; Truskinovsky, Lev
2019
Macroscopic and microscopic behavior of narrow elastic ribbons. Zbl 1415.74034
Paroni, Roberto; Tomassetti, Giuseppe
2019
Multi-component multiphase flow through a poroelastic medium. Zbl 1415.76615
Seguin, Brian; Walkington, Noel J.
2019
Existence of solitary waves in one dimensional peridynamics. Zbl 1421.74050
Pego, Robert L.; Van, Truong-Son
2019
On Weingarten-Volterra defects. Zbl 1411.74007
Acharya, Amit
2019
Torsion of chiral porous elastic beams. Zbl 1411.74009
Ieşan, D.
2019
Crack growth control based on the topological derivative of the Rice’s integral. Zbl 1412.74011
Xavier, M.; Novotny, A. A.; Sokołowski, J.
2019
Strong ellipticity conditions for orthotropic bodies in finite plane strain. Zbl 1412.74012
2019
Stress of a spatially uniform dislocation density field. Zbl 1425.74051
Acharya, Amit
2019
“Reality” and representation in mechanics: the legacy of Walter Noll. Zbl 1415.74001
Del Piero, Gianpietro
2019
Material geometry. Zbl 1454.74006
Epstein, Marcelo; Jiménez, Víctor Manuel; de León, Manuel
2019
The symmetries of octupolar tensors. Zbl 1415.76028
Gaeta, Giuseppe; Virga, Epifanio G.
2019
On the mechanical modeling of matter, molecular and continuum. Zbl 1412.74006
Podio-Guidugli, Paolo
2019
Hyper-stresses in $$k$$-jet field theories. Zbl 1415.74002
Segev, Reuven; Śniatycki, Jędrzej
2019
In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017
Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger
2019
A nanoscale hole of arbitrary shape with surface elasticity. Zbl 1458.74021
Wang, Shuang; Xing, Shichao; Chen, Zengtao; Gao, Cunfa
2019
Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill’s linear isotropic hyperelastic material models. Zbl 1477.53017
Korobeynikov, S. N.
2019
A design principle for actuation of nematic glass sheets. Zbl 1421.74064
Acharya, Amit
2019
A comparison between active strain and active stress in transversely isotropic hyperelastic materials. Zbl 1425.74077
Giantesio, Giulia; Musesti, Alessandro; Riccobelli, Davide
2019
Helmholtz decomposition and boundary element method applied to dynamic linear elastic problems. Zbl 1425.74498
Klaseboer, Evert; Sun, Qiang; Chan, Derek Y. C.
2019
Experimental study of elastic constants of a dense foam with weak Cosserat coupling. Zbl 1469.74006
Rueger, Z.; Lakes, R. S.
2019
Geometric variational principles for computational homogenization. Zbl 1425.74388
Bellis, Cédric; Suquet, Pierre
2019
Elastodynamics of linearized isotropic state-based peridynamic media. Zbl 1427.74023
Wang, Linjuan; Xu, Jifeng; Wang, Jianxiang
2019
Linear pantographic sheets: existence and uniqueness of weak solutions. Zbl 1398.74011
Eremeyev, Victor A.; dell&rsquo;Isola, Francesco; Boutin, Claude; Steigmann, David
2018
Harmonic factorization and reconstruction of the elasticity tensor. Zbl 1393.74025
Olive, M.; Kolev, B.; Desmorat, B.; Desmorat, R.
2018
Finite anticlastic bending of hyperelastic solids and beams. Zbl 1390.74034
Lanzoni, Luca; Tarantino, Angelo Marcello
2018
A linearly elastic shell over an obstacle: the flexural case. Zbl 1387.74021
2018
A peridynamic model of fracture mechanics with bond-breaking. Zbl 1395.74041
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan
2018
Models of elastic shells in contact with a rigid foundation: an asymptotic approach. Zbl 1380.74085
Rodríguez-Arós, Ángel
2018
On the justification of viscoelastic elliptic membrane shell equations. Zbl 1380.74082
Castiñeira, G.; Rodríguez-Arós, Á.
2018
Nonlinear elastic inclusions in anisotropic solids. Zbl 1455.74016
Golgoon, Ashkan; Yavari, Arash
2018
Analytic solution for a line edge dislocation in a bimaterial system incorporating interface elasticity. Zbl 1395.74009
Dai, Ming; Schiavone, Peter
2018
Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra. Zbl 1393.74090
Giusteri, Giulio G.; Fried, Eliot
2018
Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the Dirichlet energy. Zbl 1401.74043
Morris, Charles; Taheri, Ali
2018
Potential method in the theory of elasticity for triple porosity materials. Zbl 1387.74048
2018
On the bending and twisting of rods with misfit. Zbl 1387.74065
Kohn, Robert V.; O&rsquo;Brien, Ethan
2018
Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003
Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot
2018
On the uniqueness of energy minimizers in finite elasticity. Zbl 1415.74042
Sivaloganathan, Jeyabal; Spector, Scott J.
2018
Free damage propagation with memory. Zbl 1403.74080
Lipton, Robert; Said, Eyad; Jha, Prashant
2018
Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. Zbl 1387.74004
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio
2018
Partial constraint singularities in elastic rods. Zbl 1415.74003
Hanna, J. A.; Singh, H.; Virga, E. G.
2018
Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions. Zbl 1395.49011
Scilla, Giovanni; Vallocchia, Valerio
2018
Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007
Chen, Yi-chao; Fosdick, Roger; Fried, Eliot
2018
Waves and radiation conditions in a cuspidal sharpening of elastic bodies. Zbl 1412.35324
Kozlov, V. A.; Nazarov, S. A.
2018
...and 1495 more Documents
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### Cited by 8,212 Authors

 121 Quintanilla de Latorre, Ramón 69 Neff, Patrizio 69 Sofonea, Mircea 59 Horgan, Cornelius Oliver 59 Steinmann, Paul 57 Migórski, Stanisław 54 Wang, Xu 51 Fernández, Jose Ramon 48 Schiavone, Peter 47 Ciarlet, Philippe Gaston 44 Steigmann, David J. 42 Goriely, Alain 42 Rajagopal, Kumbakonam Ramamani 42 Saccomandi, Giuseppe 41 Ogden, Raymond William 39 Mukhopadhyay, Santwana 37 Murphy, Jeremiah G. 36 Messaoudi, Salim A. 35 Holzapfel, Gerhard Alfred 35 Iesan, Dorin 31 dell’Isola, Francesco 31 Kumar, Rajneesh 30 Eremeyev, Victor A. 30 Ghiba, Ionel-Dumitrel 30 Pence, Thomas J. 30 Placidi, Luca 30 Ting, Thomas C. T. 29 Antman, Stuart S. 29 Fosdick, Roger L. 29 Fried, Eliot 29 Marin, Marin I. 28 Batra, Romesh C. 27 Chiriţă, Stan 27 Paroni, Roberto 27 Truskinovsky, Lev 27 Yavari, Arash 26 Du, Qiang 26 Epstein, Marcelo 26 Han, Weimin 26 Rubin, Miles B. 26 Singh, Baljeet 25 Bîrsan, Mircea 25 Destrade, Michel 25 Giorgio, Ivan 25 Maugin, Gérard A. 24 Ciarletta, Michele 24 Guidugli, Paolo Podio 24 Madeo, Angela 24 Marigo, Jean-Jacques 24 Morro, Angelo 24 Wick, Thomas 23 Chen, Yizhou 23 Mardare, Cristinel 23 Othman, Mohamed Ibrahim Ahmed 23 Roubíček, Tomáš 23 Russo, Remigio 23 Spector, Scott J. 22 Markenscoff, Xanthippi 22 Ochal, Anna 22 Selvadurai, A. Patrick S. 22 Wineman, Alan S. 22 Xiao, Heng 21 Aouadi, Moncef 21 Shillor, Meir 21 Šilhavý, Miroslav 20 Chen, Yichao 20 Knops, Robin J. 20 Lopez-Pamies, Oscar 20 Merodio, Jose 20 Silling, Stewart A. 19 Abbas, Ibrahim A. A. 19 Abeyaratne, Rohan C. 19 Dai, Hui-Hui 19 Fabrizio, Mauro 19 Kanoria, Mridula 19 Kuhl, Ellen 19 Menzel, Andreas M. 19 Mustafa, Muhammad Islam 19 Ostoja-Starzewski, Martin 19 Sharma, Jagan Nath 18 Acharya, Amit 18 Barchiesi, Emilio 18 Beatty, Millard F. jun. 18 Bustamante, Roger 18 Chandrasekharaiah, D. S. 18 Doblaré, Manuel 18 Ericksen, Jerald Laverne 18 Federico, Salvatore 18 Javili, Ali 18 Muñoz Rivera, Jaime Edilberto 18 Podio-Guidugli, Paulo 18 Qi, Liqun 17 Abo-Dahab, Sayed M. 17 Chen, Weiqiu 17 Golden, John Murrough 17 Gurtin, Morton Edward 17 Knowles, James K. 17 Kružík, Martin 17 Novotny, Antonio André 17 O’Reilly, Oliver Mary ...and 8,112 more Authors
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### Cited in 460 Journals

 1,005 Journal of Elasticity 550 Computer Methods in Applied Mechanics and Engineering 546 Mathematics and Mechanics of Solids 499 Acta Mechanica 367 International Journal of Engineering Science 358 Journal of the Mechanics and Physics of Solids 285 European Journal of Mechanics. A. Solids 233 ZAMP. Zeitschrift für angewandte Mathematik und Physik 231 Archive for Rational Mechanics and Analysis 193 Computational Mechanics 170 Continuum Mechanics and Thermodynamics 168 Meccanica 145 International Journal of Solids and Structures 132 Engineering Analysis with Boundary Elements 131 Applied Mathematical Modelling 105 International Journal for Numerical Methods in Engineering 103 Journal of Mathematical Analysis and Applications 98 Archive of Applied Mechanics 93 Wave Motion 87 Applied Mathematics and Mechanics. (English Edition) 84 Applied Mathematics and Computation 81 Journal of Engineering Mathematics 73 Applicable Analysis 72 Computers & Mathematics with Applications 67 Mathematical Methods in the Applied Sciences 64 Journal of Computational Physics 64 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 59 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 54 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 53 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Journal of Computational and Applied Mathematics 49 Comptes Rendus. Mathématique. Académie des Sciences, Paris 47 Nonlinear Analysis. Real World Applications 45 International Journal of Fracture 43 Journal of Differential Equations 41 Mechanics Research Communications 41 Journal de Mathématiques Pures et Appliquées. Neuvième Série 40 Quarterly of Applied Mathematics 38 SIAM Journal on Mathematical Analysis 38 Journal of Nonlinear Science 38 Calculus of Variations and Partial Differential Equations 33 Acta Mechanica Sinica 30 Applied Mathematics and Optimization 30 Mathematical Problems in Engineering 30 Journal of Theoretical Biology 28 Journal of Mathematical Physics 28 Mathematical and Computer Modelling 27 Journal of Applied Mathematics and Mechanics 27 AMM. Applied Mathematics and Mechanics. (English Edition) 26 Physica D 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Journal of Optimization Theory and Applications 23 Applied Mathematics Letters 23 SIAM Journal on Applied Mathematics 22 Communications in Nonlinear Science and Numerical Simulation 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Discrete and Continuous Dynamical Systems. Series S 21 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 20 Soviet Applied Mechanics 19 Acta Applicandae Mathematicae 19 Boundary Value Problems 18 Archives of Computational Methods in Engineering 18 Discrete and Continuous Dynamical Systems. Series B 18 International Journal for Numerical Methods in Biomedical Engineering 17 Applied Numerical Mathematics 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Journal of Applied Mechanics and Technical Physics 17 Analysis and Applications (Singapore) 16 Linear Algebra and its Applications 16 Communications in Numerical Methods in Engineering 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Journal of Mathematical Sciences (New York) 15 Journal of Vibration and Control 14 Journal of Fluid Mechanics 14 European Journal of Applied Mathematics 14 Journal of Global Optimization 14 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 13 NoDEA. Nonlinear Differential Equations and Applications 12 Mathematics of Computation 12 Prikladnaya Matematika i Mekhanika 12 Numerical Functional Analysis and Optimization 12 Numerische Mathematik 12 RAIRO. Modélisation Mathématique et Analyse Numérique 12 Journal of Scientific Computing 12 Communications on Pure and Applied Analysis 12 Nonlinear Analysis. Theory, Methods & Applications 12 International Journal of Applied and Computational Mathematics 11 Archives of Mechanics 11 Ingenieur-Archiv 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Dynamics 11 International Journal for Computational Methods in Engineering Science and Mechanics 10 International Journal for Numerical and Analytical Methods in Geomechanics 10 International Journal of Plasticity 10 Mathematics and Computers in Simulation 10 Asymptotic Analysis 10 Journal of Integral Equations and Applications 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 360 more Journals
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### Cited in 57 Fields

 7,642 Mechanics of deformable solids (74-XX) 1,621 Partial differential equations (35-XX) 732 Numerical analysis (65-XX) 590 Fluid mechanics (76-XX) 542 Calculus of variations and optimal control; optimization (49-XX) 433 Biology and other natural sciences (92-XX) 304 Classical thermodynamics, heat transfer (80-XX) 236 Statistical mechanics, structure of matter (82-XX) 199 Integral equations (45-XX) 185 Differential geometry (53-XX) 181 Linear and multilinear algebra; matrix theory (15-XX) 162 Operator theory (47-XX) 110 Mechanics of particles and systems (70-XX) 110 Optics, electromagnetic theory (78-XX) 106 Real functions (26-XX) 94 Systems theory; control (93-XX) 89 Ordinary differential equations (34-XX) 76 Operations research, mathematical programming (90-XX) 61 Global analysis, analysis on manifolds (58-XX) 58 Dynamical systems and ergodic theory (37-XX) 49 Functions of a complex variable (30-XX) 49 Geophysics (86-XX) 46 Potential theory (31-XX) 46 Functional analysis (46-XX) 29 History and biography (01-XX) 27 Computer science (68-XX) 26 Measure and integration (28-XX) 24 Quantum theory (81-XX) 23 Integral transforms, operational calculus (44-XX) 22 Topological groups, Lie groups (22-XX) 20 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 19 Approximations and expansions (41-XX) 17 Special functions (33-XX) 16 General and overarching topics; collections (00-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Relativity and gravitational theory (83-XX) 15 Information and communication theory, circuits (94-XX) 10 Convex and discrete geometry (52-XX) 10 Manifolds and cell complexes (57-XX) 8 Group theory and generalizations (20-XX) 7 Algebraic geometry (14-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)