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Mathematics and Mechanics of Solids

Short Title: Math. Mech. Solids
Publisher: SAGE Publications, Thousand Oaks, CA
ISSN: 1081-2865; 1741-3028/e
Online: https://journals.sagepub.com/loi/MMS
Comments: Journal
Documents Indexed: 1,726 Publications (since 1996)
References Indexed: 1,493 Publications with 47,697 References.
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Authors

39 Schiavone, Peter
28 Rajagopal, Kumbakonam Ramamani
28 Wang, Xu
22 Wineman, Alan S.
20 Giorgio, Ivan
20 Steigmann, David J.
19 Mukhopadhyay, Santwana
19 Pruchnicki, Erick
18 Neff, Patrizio
16 dell’Isola, Francesco
16 Saccomandi, Giuseppe
15 Hill, James Murray
15 Ru, Chongqing
14 Steinmann, Paul
13 Epstein, Marcelo
13 Eremeyev, Victor A.
13 Placidi, Luca
12 Ericksen, Jerald LaVerne
12 Iesan, Dorin
12 Kaplunov, Julius D.
12 Ogden, Raymond William
12 Quintanilla de Latorre, Ramón
11 Barchiesi, Emilio
11 Constanda, Christian
11 Dai, Huihui
11 Šilhavý, Miroslav
11 Turco, Emilio
10 Casey, James
10 Cazzani, Antonio M.
10 Gao, Xinlin
10 Goriely, Alain
10 Madeo, Angela
10 Murphy, Jeremiah G.
10 Potapenko, Stanislav
10 Spagnuolo, Mario
9 Batra, Romesh C.
9 Beatty, Millard F. jun.
9 Bustamante, Roger
9 Ganghoffer, Jean-François
9 Horgan, Cornelius Oliver
9 Javili, Ali
9 Segev, Reuven
8 Chen, Weiqiu
8 Della Corte, Alessandro
8 Gao, Cun-Fa
8 Grillo, Alfio
8 Mi, Changwen
8 Paroni, Roberto
8 Scott, Nigel H.
8 Sofonea, Mircea
8 Vigdergauz, Shmuel
7 Dai, Ming
7 Elishakoff, Isaac
7 Federico, Salvatore
7 Oterkus, Erkan
7 Oterkus, Selda
7 Prikazchikov, Danila A.
7 Ting, Thomas C. T.
7 Wheeler, Lewis T.
7 Yavari, Arash
6 Andreaus, Ugo A.
6 Bersani, Alberto Maria
6 Buryachenko, Valeriy A.
6 Chudinovich, Igor Yuryevich
6 Ciallella, Alessandro
6 Cleja-Țigoiu, Sanda
6 Enakoutsa, Koffi
6 Fu, Yibin
6 Jiang, Qing
6 Kumar, Ajeet
6 Luongo, Angelo
6 Markenscoff, Xanthippi
6 Matei, Andaluzia Cristina
6 Maugin, Gérard A.
6 Merodio, Jose
6 Ostoja-Starzewski, Martin
6 Pence, Thomas J.
6 Scerrato, Daria
6 Sfyris, Dimitris
6 Sherief, Hany H.
6 Tambača, Josip
6 Yildizdag, M. Erden
5 Agrawal, Ashutosh
5 Băeşu, Eveline A.
5 Boulanger, Philippe
5 Carroll, Michael M.
5 Chatzigeorgiou, George
5 Coman, Ciprian D.
5 Demirkoparan, Hasan
5 Destrade, Michel
5 Erbaş, Bariş
5 Eugster, Simon Raphael
5 Fosdick, Roger L.
5 Ghiba, Ionel-Dumitrel
5 Hayes, Michael Alphonsus
5 Kim, Chun Il
5 Kouris, Demitris A.
5 Lebedev, Leonid Petrovich
5 Mioduchowski, Andrew
5 Misra, Anil
...and 2,044 more Authors

Publications by Year

Citations contained in zbMATH Open

1,253 Publications have been cited 8,521 times in 5,114 Documents Cited by Year
Truss modular beams with deformation energy depending on higher displacement gradients. Zbl 1039.74028
Alibert, Jean-Jacques; Seppecher, Pierre; Dell’Isola, Francesco
195
2003
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. Zbl 1330.74006
dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca
178
2015
Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008
Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G.
106
2015
Higher-gradient continua: the legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives. Zbl 1371.74024
Dell’isola, Francesco; Della Corte, Alessandro; Giorgio, Ivan
94
2017
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
83
2019
Isogeometric analysis of plane-curved beams. Zbl 1370.74084
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio
81
2016
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
79
2011
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
65
1996
Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047
Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela
62
2014
Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591
Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano
61
1999
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
61
2019
Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio
57
2016
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
57
2019
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009
Jeong, Jena; Neff, Patrizio
54
2010
On the Cauchy-Born rule. Zbl 1161.74305
Ericksen, J. L.
49
2008
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
49
2007
Nonlinear viscoelastic solids – a review. Zbl 1197.74021
Wineman, A.
47
2009
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
46
2007
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
44
2011
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
43
2018
Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. Zbl 1446.74171
Barchiesi, Emilio; Eugster, Simon R.; dell’isola, Francesco; Hild, François
43
2020
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
42
2016
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe
40
2015
Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610
Healey, T. J.
39
2002
Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds. Zbl 07254358
Feng, Baowei; Yin, Mingyang
39
2019
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
37
2002
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
37
2007
On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
Sadik, Souhayl; Yavari, Arash
35
2017
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
35
2010
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
35
2008
A complete dynamic approach to the generalized beam theory cross-section analysis including extension and shear modes. Zbl 1299.74109
Piccardo, Giuseppe; Ranzi, Gianluca; Luongo, Angelo
33
2014
A clarification of the role of crack-tip conditions in linear elasticity with surface effects. Zbl 1528.74005
Kim, Ci; Ru, C.-Q.; Schiavone, P.
33
2013
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
31
2006
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
31
2017
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
30
2007
Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105
Placidi, Luca; El Dhaba, Amr Ramadan
29
2017
In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885
Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria
29
2021
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
29
2009
Uniform fields inside two non-elliptical inclusions. Zbl 07278887
Wang, Xu
29
2012
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
28
2002
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
28
2016
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012
Hassanpour, Soroosh; Heppler, Glenn R.
28
2017
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014
Yavari, Arash; Goriely, Alain
28
2013
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
27
1999
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203
Khludnev, A. M.; Faella, L.; Popova, T. S.
27
2017
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
27
2009
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005
Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M.
26
2021
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
26
2014
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
26
2015
Variational formulations, model comparisons and numerical methods for Euler-Bernoulli micro- and nano-beam models. Zbl 1425.74264
Niiranen, J.; Balobanov, V.; Kiendl, J.; Hosseini, SB
26
2019
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105
Giorgio, Ivan
26
2020
Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701
Feng, Baowei; Soufyane, Abdelaziz
26
2020
Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464
Dai, Hui-Hui; Fan, Xiaojun
25
2004
Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303
Cazacu, Oana; Barlat, Frédéric
25
2001
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
25
2011
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
25
2020
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
24
2002
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
24
2021
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
24
1996
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
24
2015
A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267
Spagnuolo, Mario; Andreaus, Ugo
24
2019
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
24
2009
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
24
2006
Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014
Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A.
24
2013
A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale. Zbl 1197.74010
Sendova, T.; Walton, J. R.
23
2010
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
23
2008
Who developed the so-called Timoshenko beam theory? Zbl 1446.74003
Elishakoff, Isaac
23
2020
Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065
Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul
22
2014
Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193
Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore
22
2015
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
22
2010
On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015
Beatty, Millard F.
22
2008
Existence of weak solutions in elasticity. Zbl 07280041
Eremeyev, Victor A.; Lebedev, Leonid P.
22
2013
Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. Zbl 07254367
Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah
22
2019
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
21
2003
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
21
2001
The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515
Chadwick, P.
21
1997
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
21
2016
Must elastic materials be hyperelastic? Zbl 1257.74017
Carroll, M. M.
21
2009
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
21
2017
Uniform strain fields inside multiple inclusions in an elastic infinite plane under anti-plane shear. Zbl 1371.74027
Dai, Ming; Ru, C. Q.; Gao, Cun-Fa
20
2017
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
19
2004
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
19
2006
Structured deformations as energy minimizers in models of fracture and hystersis. Zbl 1001.74566
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D.
19
1999
A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions. Zbl 1371.74003
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo
19
2017
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
19
2009
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
18
2001
Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032
Bulíček, M.; Málek, J.; Süli, E.
18
2015
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
18
2010
On the theory of viscoelastic mixtures and stability. Zbl 1175.74028
Ieşan, D.; Nappa, L.
18
2008
On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. Zbl 1404.74028
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
18
2018
Modeling of a non-local stimulus for bone remodeling process under cyclic load: application to a dental implant using a bioresorbable porous material. Zbl 1391.74156
Giorgio, Ivan; Andreaus, Ugo; Scerrato, Daria; Braidotti, Piero
18
2017
Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225
Liu, Zhenhai; Sofonea, Mircea
18
2019
Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266
Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco
18
2020
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
17
2002
Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048
Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte
17
2015
Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
17
2020
The divergence theorem for divergence measure vector fields on sets with fractal boundaries. Zbl 1257.74014
Šilhavý, M.
17
2009
Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114
Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin
17
2018
Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039
Khludnev, Alexander M.; Shcherbakov, Viktor V.
17
2017
A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems. Zbl 1395.74035
Šilhavý, Miroslav
17
2018
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms. Zbl 07968777
Al-Chlaihawi, Murtadha J.; Topol, Heiko; Demirkoparan, Hasan; Merodio, José
3
2023
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity. Zbl 07968784
Zamani, Vahid; Demirkoparan, Hasan; Pence, Thomas J.
2
2023
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. II: Determination of the spherical part of the couple-stress. Zbl 07968778
Soldatos, K. P.
1
2023
Unusual deformation patterns in a second-gradient cylindrical lattice shell: numerical experiments. Zbl 07968779
Ciallella, Alessandro; Steigmann, David J.
1
2023
The universal program of linear elasticity. Zbl 07968785
Yavari, Arash; Goriely, Alain
1
2023
Second-gradient continua: from Lagrangian to Eulerian and back. Zbl 07950201
Dell’isola, Francesco; Eugster, Simon R.; Fedele, Roberto; Seppecher, Pierre
12
2022
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach. Zbl 07601695
Spagnuolo, Mario; Yildizdag, M. Erden; Pinelli, Xavier; Cazzani, Antonio; Hild, François
11
2022
A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams. Zbl 07590412
Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco
9
2022
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory. Zbl 07590414
Merzouki, Tarek; Ahmed, Houari Mohammed Sid; Bessaim, Aicha; Haboussi, Mohamed; Dimitri, Rossana; Tornabene, Francesco
8
2022
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains. Zbl 07590432
Eremeyev, Victor A.; dell’Isola, Francesco
8
2022
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Zbl 07601703
Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco
8
2022
Variety of fiber orientation tensors. Zbl 07601704
Bauer, Julian Karl; Böhlke, Thomas
8
2022
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary. Zbl 07590427
Zemlyanova, Anna Y.; White, Lauren M.
6
2022
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Zbl 07590438
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio
6
2022
Electrical analogs of curved beams and application to piezoelectric network damping. Zbl 07601664
Darleux, Robin; Lossouarn, Boris; Giorgio, Ivan; Dell’isola, Francesco; Deü, Jean-François
6
2022
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains. Zbl 07590425
Almeida Júnior, D. S.; Ramos, A. J. A.; Freitas, M. M.; Dos Santos, M. J.; El Arwadi, T.
5
2022
Characterization of the symmetry class of an elasticity tensor using polynomial covariants. Zbl 07590418
Olive, Marc; Kolev, Boris; Desmorat, Rodrigue; Desmorat, Boris
5
2022
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables. Zbl 07619123
Fedele, Roberto
5
2022
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Zbl 07601714
Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan
5
2022
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. Zbl 07590424
Yoon, Hyun C.; Mallikarjunaiah, S. M.
4
2022
On the extension of the mode-matching procedure for modeling a wave-bearing cavity. Zbl 07590428
Bilal, Hazrat; Afzal, Muhammad
4
2022
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders. Zbl 07590417
Zhang, B.; Wang, X. H.; Elmaimouni, L.; Yu, J. G.; Zhang, X. M.
4
2022
Quadratic-stretch elasticity. Zbl 07590434
Vitral, E.; Hanna, J. A.
4
2022
Two-field variational formulations for a class of nonlinear mechanical models. Zbl 07619149
Matei, Andaluzia; Osiceanu, Madalina
4
2022
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method. Zbl 07619133
Shekarchizadeh, Navid; Abali, Bilen Emek; Bersani, Alberto Maria
4
2022
On variational principles in coupled strain-gradient elasticity. Zbl 07619135
Nazarenko, Lidiia; Glüge, Rainer; Altenbach, Holm
4
2022
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates. Zbl 07601665
Nasimsobhan, Maryam; Ganghoffer, Jean-François; Shamshirsaz, Mahnaz
4
2022
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control. Zbl 07601697
Rizzi, Gianluca; D’Agostino, Marco Valerio; Neff, Patrizio; Madeo, Angela
4
2022
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729
Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac
4
2022
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. II: Variational formulations and applications in plates. Zbl 07950194
Qu, Yilin; Guo, Ziwen; Jin, Feng; Zhang, Gongye
4
2022
Decomposition of third-order constitutive tensors. Zbl 07590421
Itin, Yakov; Reches, Shulamit
3
2022
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory. Zbl 07619120
Aydin, Gokhan; Sarar, B. Cagri; Yildizdag, M. Erden; Abali, B. Emek
3
2022
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams. Zbl 07619127
Greco, Leopoldo; Cuomo, Massimo; Castello, Domenico; Scrofani, Angelo
3
2022
The effect of local random defects on the response of pantographic sheets. Zbl 07619129
La Valle, Gabriele; Ciallella, Alessandro; Falsone, Giovanni
3
2022
Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: numerical modeling and experiments. Zbl 07619130
Ciallella, Alessandro; Pasquali, Davide; D’Annibale, Francesco; Giorgio, Ivan
3
2022
Homogenization of the wave equation with non-uniformly oscillating coefficients. Zbl 07619139
Shahraki, Danial P.; Guzina, Bojan B.
3
2022
Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory. Zbl 07601663
Danesh, Hooman; Javanbakht, Mahdi
3
2022
Finsler differential geometry in continuum mechanics: fundamental concepts, history, and renewed application to ferromagnetic solids. Zbl 07601691
Clayton, John D.
3
2022
Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719
Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A.
3
2022
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. Zbl 07601723
Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan
3
2022
Asymptotically correct boundary conditions for the higher-order theory of plate bending. Zbl 07601740
Wilde, Maria V.; Surova, Maria Yu; Sergeeva, Nadezhda V.
3
2022
Critical velocities and displacements of anisotropic tubes under a moving pressure. Zbl 07950199
Gao, Xin-Lin; Littlefield, Andrew G.
3
2022
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields. Zbl 07619113
Wang, Xu; Schiavone, Peter
2
2022
Gradient plasticity in isotropic solids. Zbl 07619114
Steigmann, D. J.
2
2022
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas. Zbl 07619117
Turco, Emilio
2
2022
Matrix-embedded metamaterials: applications for the architectural heritage. Zbl 07619136
Spagnuolo, Mario; Reccia, Emanuele; Ciallella, Alessandro; Cazzani, Antonio
2
2022
Characteristic foliations of material evolution: from remodeling to aging. Zbl 07619141
Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo
2
2022
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties. Zbl 07601669
Stilz, Maximilian; Plappert, David; Gutmann, Florian; Hiermaier, Stefan
2
2022
History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems. Zbl 07601696
Hao, Jianwei; Wang, Jinrong; Han, Jiangfeng
2
2022
Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack. Zbl 07601707
Liu, Yuwei; Tang, Xuesong; Duan, Peiliang; Wang, Tao; Li, Peidong
2
2022
On tangent geometry and generalised continuum with defects. Zbl 07601708
Nguyen, Van Hoi; Casale, Guy; Le Marrec, Loïc
2
2022
Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings. Zbl 07601733
Zubov, Leonid; Karyakin, Mikhail
2
2022
Veering of Rayleigh-Lamb waves in orthorhombic materials. Zbl 07601738
Nobili, Andrea; Erbaş, Bariş; Signorini, Cesare
2
2022
On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions. Zbl 07601739
Eremeyev, Victor A.; Lebedev, Leonid P.; Konopińska-Zmysłowska, Violetta
2
2022
Nonlocal vibration of functionally graded nanoplates using a layerwise theory. Zbl 07950198
Belarbi, Mohamed-Ouejdi; Li, Li; Houari, Mohammed Sid Ahmed; Garg, Aman; Devidas Chalak, Hanuman; Dimitri, Rossana; Tornabene, Francesco
2
2022
Post-buckling of an elastic half-space coated by double layers. Zbl 07590419
Zhou, Mingtao; Cai, Zongxi; Fu, Yibin
1
2022
Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings. Zbl 07590435
Rodriguez, Casey
1
2022
Study on the generalized \(k\)-Hilfer-Prabhakar fractional viscoelastic-plastic model. Zbl 07590436
Feng, Yi-Ying; Yang, Xiao-Jun; Liu, Jian-Gen; Chen, Zhan-Qing
1
2022
Existence of solution in the bending of thin plates with Gurtin-Murdoch surface elasticity. Zbl 07590416
Gharahi, Alireza; Schiavone, Peter
1
2022
Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip. Zbl 07590429
Yang, Wenzhi; Pourasghar, Amin; Chen, Zengtao
1
2022
The effect of surface free energy on the fracture behaviors of nanoparticle-reinforced composites. Zbl 1535.74631
Zhang, Y. M.; Fan, M.; Xiao, Z. M.; Zhang, W. G.
1
2022
Lagrange formal calculus as applied to Lagrange mechanics: an exercise in anachronism. Zbl 07619121
Bersani, Alberto Maria; Bersani, Enrico; Caressa, Paolo
1
2022
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter. Zbl 07601683
Cao, Rui; Mi, Changwen
1
2022
Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems. Zbl 07601684
Pettigrew, Joseph S.; Mulholland, Anthony J.; Tant, Katherine M. M.
1
2022
Analysis and control of an electro-elastic contact problem. Zbl 07601685
Chen, Tao; Hu, Rong; Sofonea, Mircea
1
2022
Anisotropic imperfect interface in elastic particulate composite with initial stress. Zbl 07601689
Kushch, Volodymyr I.; Mogilevskaya, Sofia G.
1
2022
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density. Zbl 07619131
Di Michele, Federica; Rubino, Bruno; Sampalmieri, Rosella
1
2022
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization. Zbl 07619137
Alavi, S. Ehsan; Ganghoffer, Jean-François; Sadighi, Mojtaba
1
2022
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia. Zbl 07619142
Rahaman, Mohammad Masiur
1
2022
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads. Zbl 07601667
Nart, E.; Alinia, Y.; Güler, M. A.
1
2022
A study on an incompressible polymeric pressurized vessel subjected to bulk degradation. Zbl 07601668
Kazemian, M.; Goudarzi, A. Moazemi; Hassani, A.
1
2022
On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. Zbl 07601670
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick
1
2022
Letters of S. P. Timoshenko to V. I. Vernadsky recently discovered at Columbia University’s library, with analysis of his attitudes. Zbl 07601692
Elishakoff, Isaac
1
2022
Evolution of bone tissue based on angiogenesis as a crucial factor: new mathematical attempt. Zbl 07601693
Bednarczyk, Ewa; Lekszycki, Tomasz
1
2022
Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics. Zbl 07601694
Naghibzadeh, S. Kiana; Walkington, Noel; Dayal, Kaushik
1
2022
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth. Zbl 07601716
Wang, Jiong; Li, Zhanfeng; Jin, Zili
1
2022
Axisymmetric necking versus Treloar-Kearsley instability in a hyperelastic sheet under equibiaxial stretching. Zbl 07601727
Wang, Mi; Jin, Lishuai; Fu, Yibin
1
2022
Higher order asymptotic homogenization for dynamical problems. Zbl 07601731
Andrianov, Igor I.; Andrianov, Igor V.; Starushenko, Galina A.; Borodin, Evgenij I.
1
2022
On waves in multi-scale chiral elastic systems. Zbl 07601741
Movchan, Alexander B.; Movchan, Natalia V.; Jones, Ian S.
1
2022
Static condensation of peridynamic heat conduction model. Zbl 07950200
Galadima, Yakubu Kasimu; Oterkus, Erkan; Oterkus, Selda
1
2022
In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. Zbl 07582885
Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria
29
2021
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? Zbl 1486.74005
Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M.
26
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
24
2021
A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403
Jangid, Komal; Mukhopadhyay, Santwana
16
2021
Lagrangian descriptions of dissipative systems: a review. Zbl 07357428
Bersani, Alberto Maria; Caressa, Paolo
13
2021
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density. Zbl 07582889
Rajagopal, K. R.
13
2021
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. Zbl 07357405
Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H.
11
2021
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. I: Reconsideration of curvature-based flexoelectricity theory. Zbl 07589909
Qu, Yl; Zhang, Gy; Fan, Ym; Jin, F.
11
2021
Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach. Zbl 07357420
Chen, Jingkai; Jiao, Yiyu; Jiang, Wenchun; Zhang, Yanting
10
2021
Finite element formulations for constrained spatial nonlinear beam theories. Zbl 07589921
Harsch, Jonas; Capobianco, Giuseppe; Eugster, Simon R.
9
2021
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials. Zbl 07589910
Anssari-Benam, Afshin
9
2021
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. Zbl 1486.74112
Javanbakht, Mahdi; Ghaedi, Mohammad Sadegh; Barchiesi, Emilio; Ciallella, Alessandro
8
2021
Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 1486.74088
Turco, Emilio
7
2021
Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme). Zbl 1486.74003
Mühlich, Uwe; Abali, Bilen Emek; dell’Isola, Francesco
7
2021
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. Zbl 07589899
Davoli, Elisa; Roubček, Tomáš; Stefanelli, Ulisse
7
2021
On the decay of the energy for radial solutions in Moore-Gibson-Thompson thermoelasticity. Zbl 07589901
Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón
7
2021
Influence of non-local diffusion in avascular tumour growth. Zbl 07582897
Ramírez-Torres, Ariel; Di Stefano, Salvatore; Grillo, Alfio
7
2021
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization. Zbl 07589905
Mandadapu, Kranthi K.; Abali, B. Emek; Papadopoulos, Panayiotis
6
2021
Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects. Zbl 07357395
Demirkuş, Dilek
5
2021
A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400
Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav
5
2021
...and 1153 more Documents
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Cited by 5,695 Authors

100 Neff, Patrizio
91 Quintanilla de Latorre, Ramón
86 Schiavone, Peter
74 Rajagopal, Kumbakonam Ramamani
72 Wang, Xu
55 dell’Isola, Francesco
53 Fernández, Jose Ramon
52 Eremeyev, Victor A.
48 Steinmann, Paul
45 Placidi, Luca
44 Giorgio, Ivan
42 Sofonea, Mircea
41 Bustamante, Roger
40 Barchiesi, Emilio
40 Steigmann, David J.
38 Mukhopadhyay, Santwana
37 Saccomandi, Giuseppe
36 Madeo, Angela
34 Ghiba, Ionel-Dumitrel
34 Turco, Emilio
33 Goriely, Alain
31 Khan, Akhtar Ali
31 Wineman, Alan S.
30 Horgan, Cornelius Oliver
29 Khludnev, Aleksandr Mikhaĭlovich
28 Ogden, Raymond William
28 Yavari, Arash
27 Bazarra, Noelia
27 Roubíček, Tomáš
25 Lazarev, Nyurgun Petrovich
24 Dai, Huihui
24 Dai, Ming
23 Han, Weimin
23 Merodio, Jose
23 Migórski, Stanisław
22 Matei, Andaluzia Cristina
22 Misra, Anil
22 Sauer, Roger A.
21 Ganghoffer, Jean-François
21 Gao, Xinlin
21 Grillo, Alfio
21 Javili, Ali
21 Paroni, Roberto
21 Sur, Abhik
20 Murphy, Jeremiah G.
19 Destrade, Michel
19 Jadamba, Baasansuren
19 Kanoria, Mridula
19 Pence, Thomas J.
18 Bîrsan, Mircea
18 Federico, Salvatore
18 Ostoja-Starzewski, Martin
18 Stefanelli, Ulisse
17 Abali, Bilen Emek
17 Della Corte, Alessandro
17 Kaplunov, Julius D.
17 Kumar, Ajeet
17 Potapenko, Stanislav
17 Pruchnicki, Erick
17 Sama, Miguel
16 Constanda, Christian
16 Cuomo, Massimo
16 Eugster, Simon Raphael
16 Feng, Baowei
16 Kružík, Martin
16 Mondal, Sudip
16 Rizzi, Nicola Luigi
16 Rosi, Giuseppe A.
16 Solyaev, Yury O.
16 Spagnuolo, Mario
16 Tambača, Josip
15 Acharya, Amit
15 Andreaus, Ugo A.
15 Batra, Romesh C.
15 Gao, Cun-Fa
15 Greco, Leopoldo
15 Málek, Josef
15 Ortigosa, Rogelio
15 Oterkus, Erkan
15 Oterkus, Selda
15 Piersanti, Paolo
15 Segev, Reuven
15 Sfyris, Dimitris
15 Tomassetti, Giuseppe
15 Zeng, Shengda
15 Zhang, Gongye
14 Altenbach, Holm
14 Ansari, Reza
14 Cazzani, Antonio M.
14 Epstein, Marcelo
14 Gil, Antonio J.
14 Kovtunenko, Viktor Anatolievich
14 Lurie, Sergey A.
14 Owen, David Ross
14 Xiao, Yibin
13 Andrianov, Igor Vasil’evich
13 Bersani, Alberto Maria
13 Chen, Weiqiu
13 Ciallella, Alessandro
13 Deseri, Luca
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Cited in 359 Journals

651 Mathematics and Mechanics of Solids
307 Acta Mechanica
303 Journal of Elasticity
271 International Journal of Engineering Science
254 Computer Methods in Applied Mechanics and Engineering
237 ZAMP. Zeitschrift für angewandte Mathematik und Physik
189 European Journal of Mechanics. A. Solids
170 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
156 Journal of the Mechanics and Physics of Solids
150 Continuum Mechanics and Thermodynamics
94 Applied Mathematical Modelling
90 Meccanica
84 Computational Mechanics
81 Wave Motion
61 International Journal for Numerical Methods in Engineering
54 Mathematical Methods in the Applied Sciences
52 Journal of Engineering Mathematics
49 International Journal of Solids and Structures
47 Archive for Rational Mechanics and Analysis
46 Journal of Mathematical Analysis and Applications
43 Engineering Analysis with Boundary Elements
43 Mathematics and Mechanics of Complex Systems
39 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
38 Journal of Computational and Applied Mathematics
35 Applicable Analysis
35 Computers & Mathematics with Applications
34 Waves in Random and Complex Media
32 Journal of Computational Physics
31 AMM. Applied Mathematics and Mechanics. (English Edition)
30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
30 Nonlinear Analysis. Real World Applications
29 Applied Mathematics and Computation
28 SIAM Journal on Applied Mathematics
28 Communications in Nonlinear Science and Numerical Simulation
25 Archive of Applied Mechanics
25 Journal of Nonlinear Science
19 Nonlinear Dynamics
18 International Journal of Plasticity
18 SIAM Journal on Mathematical Analysis
18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
17 Lobachevskii Journal of Mathematics
16 Applied Mathematics Letters
16 Mathematical Problems in Engineering
16 Discrete and Continuous Dynamical Systems. Series S
15 Journal of Differential Equations
15 Mathematics and Computers in Simulation
15 Quarterly of Applied Mathematics
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Journal of Theoretical Biology
14 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Mechanics of Solids
13 Archives of Mechanics
13 Calculus of Variations and Partial Differential Equations
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Theoretical and Applied Mechanics
11 Journal of Mathematical Physics
11 Physica D
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11 Asymptotic Analysis
11 Computational and Applied Mathematics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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11 Networks and Heterogeneous Media
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11 Matematicheskie Zametki SVFU
10 International Journal of Fracture
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 GAMM-Mitteilungen
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9 Mathematics in Engineering
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8 Acta Applicandae Mathematicae
8 Journal of Scientific Computing
8 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Nonlinear and Variational Analysis
7 Applied Mathematics and Optimization
7 Journal of Optimization Theory and Applications
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Applied Numerical Mathematics
7 Journal of Applied Mechanics and Technical Physics
7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
6 Mechanics Research Communications
6 Numerical Functional Analysis and Optimization
6 Applied Mathematics and Mechanics. (English Edition)
6 Applications of Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Mathematical Sciences (New York)
6 Mathematical Modelling and Analysis
6 Archives of Computational Methods in Engineering
6 Boundary Value Problems
5 Journal of Fluid Mechanics
5 Ricerche di Matematica
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Computational Mathematics and Mathematical Physics
5 SIAM Journal on Scientific Computing
5 Multibody System Dynamics
5 Communications on Pure and Applied Analysis
5 International Journal of Computational Methods
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