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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
Documents Indexed: 1,587 Publications (since 1996)
References Indexed: 1,358 Publications with 41,357 References.
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Authors

36 Schiavone, Peter
25 Rajagopal, Kumbakonam Ramamani
20 Wineman, Alan S.
19 Mukhopadhyay, Santwana
19 Wang, Xu
18 Steigmann, David J.
17 Neff, Patrizio
16 Pruchnicki, Erick
15 Giorgio, Ivan
15 Saccomandi, Giuseppe
14 Hill, James Murray
14 Steinmann, Paul
13 dell’Isola, Francesco
13 Placidi, Luca
12 Epstein, Marcelo
12 Ericksen, Jerald Laverne
12 Iesan, Dorin
12 Ogden, Raymond William
12 Quintanilla de Latorre, Ramón
11 Constanda, Christian
11 Šilhavý, Miroslav
10 Casey, James
10 Kaplunov, Julius D.
10 Potapenko, Stanislav
9 Barchiesi, Emilio
9 Beatty, Millard F. jun.
9 Bustamante, Roger
9 Eremeyev, Victor A.
9 Goriely, Alain
9 Javili, Ali
9 Madeo, Angela
9 Murphy, Jeremiah G.
9 Segev, Reuven
9 Turco, Emilio
8 Batra, Romesh C.
8 Della Corte, Alessandro
8 Grillo, Alfio
8 Horgan, Cornelius Oliver
8 Paroni, Roberto
8 Scott, Nigel H.
8 Vigdergauz, Shmuel
7 Dai, Hui-Hui
7 Dai, Ming
7 Federico, Salvatore
7 Ganghoffer, Jean-François
7 Gao, Cun-Fa
7 Mi, Changwen
7 Ru, Chong-Qing
7 Sofonea, Mircea
7 Ting, Thomas C. T.
7 Wheeler, Lewis T.
6 Andreaus, Ugo A.
6 Buryachenko, Valeriy A.
6 Cazzani, Antonio M.
6 Chudinovich, Igor Yuryevich
6 Cleja-Țigoiu, Sanda
6 Jiang, Qing
6 Kumar, Ajeet
6 Luongo, Angelo
6 Markenscoff, Xanthippi
6 Maugin, Gérard A.
6 Ostoja-Starzewski, Martin
6 Oterkus, Erkan
6 Oterkus, Selda
6 Scerrato, Daria
6 Sfyris, Dimitris
6 Sherief, Hany H.
6 Spagnuolo, Mario
6 Tambača, Josip
6 Yavari, Arash
5 Băeşu, Eveline A.
5 Boulanger, Philippe
5 Carroll, Michael M.
5 Chatzigeorgiou, George
5 Chen, Weiqiu
5 Coman, Ciprian D.
5 Elishakoff, Isaac
5 Enakoutsa, Koffi
5 Fosdick, Roger L.
5 Ghiba, Ionel-Dumitrel
5 Kim, Chun Il
5 Kouris, Demitris A.
5 Matei, Andaluzia Cristina
5 Merodio, Jose
5 Mioduchowski, Andrew
5 Misra, Anil
5 O’Reilly, Oliver Mary
5 Papadopoulos, Panayiotis
5 Pence, Thomas J.
5 Polignone Warne, Debra
5 Rosi, Giuseppe A.
5 Warne, Paul G.
4 Agrawal, Ashutosh
4 Ansari, Reza
4 Arrigo, Daniel J.
4 Barnett, David M.
4 Bîrsan, Mircea
4 Buliga, Marius G.
4 Chen, Dao-Long
4 Chen, Tei-Chen
...and 1,830 more Authors

Publications by Year

Citations contained in zbMATH Open

998 Publications have been cited 5,231 times in 3,434 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
136
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
98
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.
63
2015
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
61
2011
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
55
2014
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
55
1996
Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591
Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano
53
1999
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009
Jeong, Jena; Neff, Patrizio
47
2010
Isogeometric analysis of plane-curved beams. Zbl 1370.74084
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio
47
2016
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
42
2017
Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio
41
2016
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
38
2007
Nonlinear viscoelastic solids – a review. Zbl 1197.74021
Wineman, A.
38
2009
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
38
2007
On the Cauchy-Born rule. Zbl 1161.74305
Ericksen, J. L.
36
2008
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
34
2011
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
32
2018
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
31
2007
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
30
2010
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
30
2008
Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610
Healey, T. J.
30
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
30
2002
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
29
2016
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
29
2014
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
29
2007
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
28
2006
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
28
2019
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
26
2016
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
26
2002
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
25
2015
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
24
1996
Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303
Cazacu, Oana; Barlat, Frédéric
24
2001
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
23
2009
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
23
2006
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
21
2009
On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015
Beatty, Millard F.
21
2008
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
21
2017
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
20
2014
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
20
2008
The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515
Chadwick, P.
20
1997
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
20
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
20
2019
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
19
2011
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
19
1999
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 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.
19
2010
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
19
2003
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
19
2002
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
18
2010
Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193
Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore
18
2015
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
18
2015
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
18
2009
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
18
2017
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
18
2004
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
17
2016
Must elastic materials be hyperelastic? Zbl 1257.74017
Carroll, M. M.
17
2009
On the theory of viscoelastic mixtures and stability. Zbl 1175.74028
Ieşan, D.; Nappa, L.
17
2008
On the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
Sadik, Souhayl; Yavari, Arash
17
2017
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
17
2001
A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003
Aguiar, Adair R.; Fosdick, Roger
16
2014
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
16
2015
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
16
2006
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
16
2019
Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065
Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul
15
2014
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
15
2009
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012
Hassanpour, Soroosh; Heppler, Glenn R.
15
2017
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
15
2004
A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003
Kannan, K.; Rajagopal, K. R.
15
2004
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
15
2002
A characterization of internally constrained thermoelastic materials. Zbl 1001.74552
Casey, J.; Krishnaswamy, S.
14
1998
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
14
2004
Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002
Lawrie, Jane B.; Kaplunov, Julius
14
2012
Analytical solution for a pressurized thick-walled spherical shell based on a simplified strain gradient elasticity theory. Zbl 1197.74068
Gao, X.-L.; Park, S. K.; Ma, H. M.
14
2009
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
14
2017
Euromech 563 Cisterna di Latina 17-21 March 2014. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Zbl 1370.74007
Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria
14
2017
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203
Khludnev, A. M.; Faella, L.; Popova, T. S.
14
2017
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
14
2001
Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of hencky type. Zbl 1404.74114
Matei, Andaluzia; Micu, Sorin; Niţǎ, Constantin
13
2018
Volumetric-distortional decomposition of deformation and elasticity tensor. Zbl 1257.74018
Federico, Salvatore
13
2010
Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306
Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C.
13
2008
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
13
2017
A modified theory of magnetic effects in elastic materials. Zbl 1092.74012
Ericksen, J. L.
13
2006
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
13
2010
Bulging bifurcation of inflated circular cylinders of doubly fiber-reinforced hyperelastic material under axial loading and swelling. Zbl 1371.74107
Demirkoparan, Hasan; Merodio, Jose
13
2017
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
13
2017
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
13
2001
Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. Zbl 1048.74008
Sudak, L. J.
13
2003
Nonlinear constitutive laws in viscoelasticity. Zbl 1419.74069
Drapaca, C. S.; Sivaloganathan, S.; Tenti, G.
12
2007
Recursive derivation of one-dimensional models from three-dimensional nonlinear elasticity. Zbl 1175.74046
Meunier, Nicolas
12
2008
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
12
2011
Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517
Hill, James M.; Arrigo, Daniel J.
12
1996
Korn’s constant for a parallelepiped with a free face or pair of faces. Zbl 1001.74560
Ryzhak, E. I.
12
1999
The convexity properties of a class of constitutive models of biological soft tissues. Zbl 1072.74052
Wilber, J. Patrick; Walton, Jay R.
12
2002
Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Zbl 1327.74080
Bustamante, R.; Sfyris, D.
12
2015
Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032
Bulíček, M.; Málek, J.; Süli, E.
12
2015
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
12
2015
Mathematical modeling of a solid-liquid mixture with mass exchange between constituents. Zbl 1143.74024
Fusi, L.; Farina, A.; Ambrosi, D.
12
2006
Analysis of the air-damping effect on a micromachined beam resonator. Zbl 1048.74538
Zhang, Chuanli; Xu, Guanshui; Jiang, Qing
12
2003
On the significance of coherent interface effects for embedded nanoparticles. Zbl 1359.74027
Mi, Changwen; Kouris, Demitris
11
2014
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.
11
2018
A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403
Jangid, Komal; Mukhopadhyay, Santwana
6
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
4
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.
3
2021
Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 1486.74088
Turco, Emilio
2
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
2
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
2
2021
A model for a solid undergoing rate-independent dissipative mechanical processes. Zbl 07357400
Saravanan, Umakanthan; Rajagopal, Kumbakonam R.; Tom, Roshan M.; Bharadwaj, Keshav
2
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
2
2021
Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure. Zbl 1486.74013
Temesgen, Ag; Singh, Sb; Pankaj, T.
1
2021
Ramberg-Osgood material behavior expression and large deflections of Euler beams. Zbl 07357397
Giardina, Ronald J.; Wei, Dongming
1
2021
Periodic tilings and auxetic deployments. Zbl 07357398
Borcea, Ciprian S.; Streinu, Ileana
1
2021
Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory. Zbl 07357401
Gad, A. I.; Gao, X-L
1
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.
1
2021
Local gradient Bernoulli-Euler beam model for dielectrics: effect of local mass displacement on coupled fields. Zbl 07357413
Hrytsyna, Olha
1
2021
Surface and interfacial anti-plane waves in micropolar solids with surface energy. Zbl 07357424
Chaki, Mriganka Shekhar; Eremeyev, Victor A.; Singh, Abhishek K.
1
2021
Lagrangian descriptions of dissipative systems: a review. Zbl 07357428
Bersani, Alberto Maria; Caressa, Paolo
1
2021
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales. Zbl 07357434
Dong, Hao; Cui, Junzhi; Nie, Yufeng; Jin, Ke; Guan, Xiaofei; Yang, Zihao
1
2021
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
10
2020
A Kirchhoff plate formulation in a state-based peridynamic framework. Zbl 1446.74161
Yang, Zhenghao; Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
9
2020
Asymptotic stability for a laminated beam with structural damping and infinite memory. Zbl 07259267
Liu, Wenjun; Kong, Xiangyu; Li, Gang
7
2020
Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701
Feng, Baowei; Soufyane, Abdelaziz
7
2020
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
6
2020
Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann-Ogden surface model. Zbl 07259263
Ban, Youxue; Mi, Changwen
6
2020
Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143
Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius
6
2020
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105
Giorgio, Ivan
6
2020
Who developed the so-called Timoshenko beam theory? Zbl 1446.74003
Elishakoff, Isaac
5
2020
Numerical simulations for the dynamics of flexural shells. Zbl 1446.74168
Shen, Xiaoqin; Piersanti, Luisa; Piersanti, Paolo
5
2020
Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
5
2020
A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects. Zbl 07259268
Yin, Shuohui; Deng, Yang; Zhang, Gongye; Yu, Tiantang; Gu, Shuitao
4
2020
New \(\delta\)-shock waves in the \(p\)-system: a distributional product approach. Zbl 1446.74150
Paiva, Adelino
4
2020
A new Bernoulli-Euler beam model based on a reformulated strain gradient elasticity theory. Zbl 1446.74156
Zhang, Gongye; Gao, Xin-Lin
4
2020
Steady vibration problems in the coupled linear theory of porous elastic solids. Zbl 1446.74135
Svanadze, Merab
4
2020
Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory. Zbl 1482.74112
Bîrsan, Mircea
4
2020
Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266
Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco
3
2020
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Zbl 1446.74093
Ebobisse, François; Neff, Patrizio
3
2020
An existence and uniqueness theorem for the dynamics of flexural shells. Zbl 1446.74167
Piersanti, Paolo
3
2020
Extended granular micromechanics approach: a micromorphic theory of degree \(n\). Zbl 1446.74104
Nejadsadeghi, Nima; Misra, Anil
3
2020
A circular Eshelby inclusion interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses. Zbl 1446.74101
Wang, Xu; Yang, Ping; Schiavone, Peter
3
2020
Flamant solution of a half-plane with surface flexural resistibility and its applications to nanocontact mechanics. Zbl 1446.74180
Li, Xiaobao; Jiang, Lijian; Mi, Changwen
3
2020
Riemannian and Euclidean material structures in anelasticity. Zbl 1482.74009
Sozio, Fabio; Yavari, Arash
3
2020
Tykhonov well-posedness of a frictionless unilateral contact problem. Zbl 1482.74126
Liu, Zhenhai; Sofonea, Mircea; Xiao, Yi-Bin
3
2020
Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction. Zbl 1482.74065
Marin, Liviu
3
2020
Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models. Zbl 1482.74026
Forest, Samuel; Sab, Karam
3
2020
Reduced algebraic conditions for plane or axial tensorial symmetries. Zbl 1482.74050
Olive, M.; Desmorat, B.; Kolev, B.; Desmorat, R.
3
2020
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation. Zbl 1482.74008
Cichra, David; Průša, Vít
3
2020
Likely striping in stochastic nematic elastomers. Zbl 07259260
Mihai, L. Angela; Goriely, Alain
2
2020
Elastoplastic deformation in an orthotropic spherical shell subjected to a temperature gradient. Zbl 1446.74169
Thakur, Pankaj; Sethi, Monika
2
2020
On the dependence of standard and gradient elastic material constants on a field of defects. Zbl 1446.74090
Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca
2
2020
On the peridynamic formulation for an orthotropic Mindlin plate under bending. Zbl 1446.74162
Yolum, Ugur; Güler, M. A.
2
2020
A modelling framework for finite strain magnetoviscoelasticity. Zbl 1446.74121
Nedjar, Boumediene
2
2020
Wave motion in multi-layered transversely isotropic porous media by the method of potential functions. Zbl 1446.74144
Teymouri, Hamid; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S.
2
2020
Equilibrium paths of a three-bar truss in finite elasticity with an application to graphene. Zbl 1446.74155
Pelliciari, Matteo; Tarantino, Angelo Marcello
2
2020
Flexoelectric effect induced in an anisotropic bar with cubic symmetry under torsion. Zbl 1446.74119
El Dhaba, Amr Ramadan; Gabr, M. E.
2
2020
Plane harmonic waves in a thermoelastic solid with double porosity. Zbl 1446.74141
Singh, Dilbag; Kumar, Davinder; Tomar, S. K.
2
2020
Heavily loaded line EHL contacts with thin adsorbed soft layers. Zbl 1446.74179
Kudish, Ilya I.; Pashkovski, Eugene; Volkov, Sergey S.; Vasiliev, Andrey S.; Aizikovich, Sergey M.
2
2020
Shell design from planar pre-stressed structures. Zbl 1482.74113
Danescu, Alexandre; Ionescu, Ioan R.
2
2020
Material distributions. Zbl 1487.53123
Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo
2
2020
Swelling and axial propagation of bulging with application to aneurysm propagation in arteries. Zbl 1482.74118
Demirkoparan, Hasan; Merodio, Jose
2
2020
Analysis of size dependency on love-type wave propagation in a functionally graded piezoelectric smart material. Zbl 07272698
Sharma, Vanita; Kumar, Satish
2
2020
On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics. Zbl 07272702
Saxena, Prashant; Sharma, Basant Lal
2
2020
A review of de Broglie particle-wave mechanical systems. Zbl 07259256
Hill, James M.
1
2020
Rigorous derivation of active plate models for thin sheets of nematic elastomers. Zbl 07259258
Agostiniani, Virginia; DeSimone, Antonio
1
2020
Irreducible matrix resolution for symmetry classes of elasticity tensors. Zbl 07259261
Itin, Yakov
1
2020
On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane. Zbl 07259264
Çömez, I.; Güler, M. A.
1
2020
Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft. Zbl 1446.74159
Thakur, Pankaj; Sethi, Monika
1
2020
The electro-mechanics of a coating/substrate system under charged spherical contact. Zbl 1446.74120
Hou, P. F.; Zhang, W. H.
1
2020
A note on the compatibility equations for three-dimensional axisymmetric problems. Zbl 1446.74070
Lubarda, M. V.; Lubarda, V. A.
1
2020
Elastic waves in a circular cylinder and cylindrical annulus for a subclass of implicit constitutive equations. Zbl 1446.74149
Magan, Avnish Bhowan; Mason, David; Harley, Charis
1
2020
Folding deformation modeling and simulation of 4D printed bilayer structures considering the thickness ratio. Zbl 1446.74172
Liu, Zhenyu; Liu, Han; Duan, Guifang; Tan, Jianrong
1
2020
Uniform stress state inside a non-elliptical inhomogeneity near an irregularly shaped hole in antiplane shear. Zbl 1446.74100
Wang, Xu; Schiavone, Peter
1
2020
Dispersion characteristics of periodic structural systems using higher order beam element dynamics. Zbl 1446.74130
Ayad, M.; Karathanasopoulos, N.; Reda, H.; Ganghoffer, J. F.; Lakiss, H.
1
2020
A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures. Zbl 1446.74199
Nguyen, Tuan Ha; Niiranen, Jarkko
1
2020
Dimensional changes during shear without normal tractions (the Poynting effect) in nonlinear viscoelastic fiber-reinforced solids. Zbl 1446.74107
Wineman, Alan
1
2020
Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites. Zbl 1446.74079
Buryachenko, Valeriy A.
1
2020
A nonlinear electro-elastic model with residual stresses and a preferred direction. Zbl 1446.74124
Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose
1
2020
Linear theory for the mechanics of third-gradient continua reinforced with fibers resistance to flexure. Zbl 1446.74078
Bolouri, Seyed Ehsan Seyed; Kim, Chun I. L.; Yang, Seunghwa
1
2020
The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. Zbl 1481.74008
Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J.
1
2020
Surface, size and topological effects for some nematic equilibria on rectangular domains. Zbl 1481.76024
Fang, Lidong; Majumdar, Apala; Zhang, Lei
1
2020
Hilbert bundles as quantum-classical continua. Zbl 07272674
Epstein, Marcelo
1
2020
Lower bound limit and shakedown analysis of orthotropic material. Zbl 1482.74146
Qin, Fang; Zhang, Lele; Chen, Geng; Broeckmann, Christoph
1
2020
Geometric description of time-dependent finite-dimensional mechanical systems. Zbl 1485.70014
Eugster, Simon R.; Capobianco, Giuseppe; Winandy, Tom
1
2020
A nonlinear thermomechanical formulation for anisotropic volume and surface continua. Zbl 1482.74007
Ghaffari, Reza; Sauer, Roger A.
1
2020
Feedback control for non-stationary 3D Navier-Stokes-Voigt equations. Zbl 1485.93192
Zeng, Biao
1
2020
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
28
2019
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
20
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
20
2019
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
16
2019
A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267
Spagnuolo, Mario; Andreaus, Ugo
11
2019
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
11
2019
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
10
2019
Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff-Love plates with a crack. Zbl 07273390
Lazarev, Nyurgun; Itou, Hiromichi
8
2019
Differential quasivariational inequalities in contact mechanics. Zbl 1439.74225
Liu, Zhenhai; Sofonea, Mircea
7
2019
Generalized error-minimizing, rational inverse Langevin approximations. Zbl 1425.74083
Marchi, Benjamin C.; Arruda, Ellen M.
6
2019
Static response of functionally graded multilayered one-dimensional quasicrystal cylindrical shells. Zbl 1425.74300
Li, Yang; Yang, Lianzhi; Zhang, Liangliang; Gao, Yang
6
2019
An Euler-Bernoulli beam formulation in an ordinary state-based peridynamic framework. Zbl 1447.74025
Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda
6
2019
Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. Zbl 07254367
Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah
6
2019
An obstacle problem for Koiter’s shells. Zbl 07273353
Ciarlet, Philippe G.; Piersanti, Paolo
6
2019
Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach. Zbl 07273382
Ramírez-Torres, Ariel; Penta, Raimondo; Rodríguez-Ramos, Reinaldo; Grillo, Alfio
6
2019
Attenuation of waves in a viscoelastic peridynamic medium. Zbl 07273384
Silling, S. A.
6
2019
Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms. Zbl 07273387
Krömer, Stefan; Valdman, Jan
6
2019
...and 898 more Documents
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Cited by 3,847 Authors

71 Neff, Patrizio
66 Schiavone, Peter
63 Rajagopal, Kumbakonam Ramamani
54 Quintanilla de Latorre, Ramón
49 Wang, Xu
39 dell’Isola, Francesco
36 Bustamante, Roger
34 Giorgio, Ivan
34 Placidi, Luca
34 Sofonea, Mircea
33 Steigmann, David J.
33 Steinmann, Paul
31 Saccomandi, Giuseppe
30 Madeo, Angela
28 Mukhopadhyay, Santwana
27 Fernández, Jose Ramon
27 Ogden, Raymond William
27 Wineman, Alan S.
26 Eremeyev, Victor A.
26 Ghiba, Ionel-Dumitrel
25 Goriely, Alain
25 Horgan, Cornelius Oliver
25 Khan, Akhtar Ali
21 Barchiesi, Emilio
20 Khludnev, Aleksandr Mikhaĭlovich
20 Turco, Emilio
19 Han, Weimin
19 Murphy, Jeremiah G.
18 Dai, Ming
18 Jadamba, Baasansuren
18 Merodio, Jose
18 Roubíček, Tomáš
18 Yavari, Arash
17 Della Corte, Alessandro
17 Javili, Ali
17 Paroni, Roberto
16 Bîrsan, Mircea
16 Constanda, Christian
16 Misra, Anil
15 Bazarra, Noelia
15 Destrade, Michel
15 Federico, Salvatore
15 Grillo, Alfio
15 Potapenko, Stanislav
14 Andreaus, Ugo A.
14 Dai, Hui-Hui
14 Matei, Andaluzia Cristina
14 Pence, Thomas J.
14 Pruchnicki, Erick
14 Rizzi, Nicola Luigi
14 Sama, Miguel
14 Sauer, Roger A.
13 Acharya, Amit
13 Málek, Josef
13 Owen, David Roger Jones
13 Sfyris, Dimitris
13 Stefanelli, Ulisse
13 Tambača, Josip
12 Batra, Romesh C.
12 Ganghoffer, Jean-François
12 Kanoria, Mridula
12 Kumar, Ajeet
12 Mi, Changwen
12 Migórski, Stanisław
12 Rosi, Giuseppe A.
12 Tomassetti, Giuseppe
12 Zeng, Shengda
11 Ansari, Reza
11 Chudinovich, Igor Yuryevich
11 Cuomo, Massimo
11 Deseri, Luca
11 Greco, Leopoldo
11 Kovtunenko, Viktor Anatolievich
11 Lazarev, Nyurgun Petrovich
11 Rogerson, Graham A.
11 Segev, Reuven
11 Shariff, M. H. B. M.
11 Truskinovsky, Lev
11 Walton, Jay R.
11 Xiao, Yibin
10 Beatty, Millard F. jun.
10 Chiriţă, Stan
10 Hill, James Murray
10 Iesan, Dorin
10 Lurie, Sergey A.
10 Ostoja-Starzewski, Martin
10 Soldatos, Kostas P.
10 Sur, Abhik
10 Tarantino, Angelo Marcello
10 Van Goethem, Nicolas
10 Yang, Ping
9 Andrianov, Igor V.
9 Braides, Andrea
9 Coman, Ciprian D.
9 Du, Qiang
9 Elías-Zúñiga, Alex
9 Eugster, Simon R.
9 Ezzat, Magdy A.
9 Gao, Cun-Fa
9 Gil, Antonio J.
...and 3,747 more Authors
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Cited in 280 Journals

544 Mathematics and Mechanics of Solids
226 Journal of Elasticity
210 Acta Mechanica
194 International Journal of Engineering Science
161 ZAMP. Zeitschrift für angewandte Mathematik und Physik
147 Computer Methods in Applied Mechanics and Engineering
142 Journal of the Mechanics and Physics of Solids
115 European Journal of Mechanics. A. Solids
108 Continuum Mechanics and Thermodynamics
70 Wave Motion
55 Applied Mathematical Modelling
54 Computational Mechanics
49 International Journal of Solids and Structures
44 Journal of Engineering Mathematics
43 Meccanica
41 Archive for Rational Mechanics and Analysis
37 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
29 Journal of Mathematical Analysis and Applications
27 Applicable Analysis
27 Engineering Analysis with Boundary Elements
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Journal of Computational and Applied Mathematics
24 Archive of Applied Mechanics
23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
23 Nonlinear Analysis. Real World Applications
23 Waves in Random and Complex Media
22 Computers & Mathematics with Applications
22 Applied Mathematics and Computation
21 AMM. Applied Mathematics and Mechanics. (English Edition)
20 Journal of Computational Physics
19 SIAM Journal on Applied Mathematics
18 International Journal of Plasticity
18 Nonlinear Dynamics
18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
16 Mathematical Methods in the Applied Sciences
15 Quarterly of Applied Mathematics
15 Applied Mathematics Letters
15 Journal of Nonlinear Science
14 Mathematics and Mechanics of Complex Systems
13 Communications in Nonlinear Science and Numerical Simulation
13 Discrete and Continuous Dynamical Systems. Series S
13 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Journal of Differential Equations
12 Mathematical Problems in Engineering
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 International Journal for Numerical Methods in Engineering
10 Lobachevskii Journal of Mathematics
10 International Journal of Fracture
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Acta Mechanica Sinica
9 Mathematics and Computers in Simulation
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
8 Archives of Mechanics
8 Journal of Applied Mathematics and Mechanics
8 SIAM Journal on Mathematical Analysis
8 Journal of Theoretical Biology
7 Journal of Mathematical Physics
7 Physica D
7 Optimization
7 Calculus of Variations and Partial Differential Equations
6 Mechanics Research Communications
6 Applied Mathematics and Mechanics. (English Edition)
6 Acta Applicandae Mathematicae
6 Applications of Mathematics
6 Computational and Applied Mathematics
6 Archives of Computational Methods in Engineering
6 Discrete and Continuous Dynamical Systems. Series B
6 Theoretical and Applied Mechanics
6 Evolution Equations and Control Theory
6 Mechanics of Solids
5 Applied Mathematics and Optimization
5 Journal of Optimization Theory and Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerical Functional Analysis and Optimization
5 Asymptotic Analysis
5 Journal of Scientific Computing
5 Journal of Mathematical Sciences (New York)
5 Mathematical Modelling and Analysis
5 Mediterranean Journal of Mathematics
5 Networks and Heterogeneous Media
4 Reports on Mathematical Physics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Numerical Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Linear Algebra and its Applications
4 Applicationes Mathematicae
4 Journal of Applied Mechanics and Technical Physics
4 Boundary Value Problems
4 Inverse Problems in Science and Engineering
4 GAMM-Mitteilungen
4 Optimization Letters
4 Advances in Mathematical Physics
4 Advances in Applied Mathematics and Mechanics
4 Journal of Geometric Mechanics
3 Journal of Mathematical Biology
3 Mathematics of Computation
3 Numerische Mathematik
3 Journal of Integral Equations and Applications
3 Computational Mathematics and Mathematical Physics
...and 180 more Journals
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Cited in 52 Fields

3,026 Mechanics of deformable solids (74-XX)
549 Partial differential equations (35-XX)
232 Numerical analysis (65-XX)
212 Calculus of variations and optimal control; optimization (49-XX)
206 Fluid mechanics (76-XX)
170 Biology and other natural sciences (92-XX)
128 Statistical mechanics, structure of matter (82-XX)
90 Classical thermodynamics, heat transfer (80-XX)
78 Mechanics of particles and systems (70-XX)
62 Differential geometry (53-XX)
59 Optics, electromagnetic theory (78-XX)
58 Operator theory (47-XX)
41 Integral equations (45-XX)
40 Ordinary differential equations (34-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
29 Real functions (26-XX)
26 Dynamical systems and ergodic theory (37-XX)
22 Systems theory; control (93-XX)
21 Operations research, mathematical programming (90-XX)
19 Global analysis, analysis on manifolds (58-XX)
18 Functions of a complex variable (30-XX)
17 Functional analysis (46-XX)
15 History and biography (01-XX)
12 Probability theory and stochastic processes (60-XX)
12 Quantum theory (81-XX)
11 Measure and integration (28-XX)
10 Potential theory (31-XX)
10 Geophysics (86-XX)
9 General and overarching topics; collections (00-XX)
8 Topological groups, Lie groups (22-XX)
7 Special functions (33-XX)
7 Statistics (62-XX)
6 Computer science (68-XX)
5 Integral transforms, operational calculus (44-XX)
4 Approximations and expansions (41-XX)
4 Relativity and gravitational theory (83-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Difference and functional equations (39-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
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1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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