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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: 1,696 Publications (since 1996)
References Indexed: 1,466 Publications with 46,362 References.
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Authors

39 Schiavone, Peter
28 Wang, Xu
26 Rajagopal, Kumbakonam Ramamani
21 Wineman, Alan S.
20 Giorgio, Ivan
19 Mukhopadhyay, Santwana
19 Pruchnicki, Erick
19 Steigmann, David J.
18 Neff, Patrizio
16 Saccomandi, Giuseppe
15 dell’Isola, Francesco
14 Hill, James Murray
14 Steinmann, Paul
13 Epstein, Marcelo
13 Placidi, Luca
12 Eremeyev, Victor A.
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, Hui-Hui
11 Šilhavý, Miroslav
11 Turco, Emilio
10 Casey, James
10 Cazzani, Antonio M.
10 Madeo, Angela
10 Potapenko, Stanislav
10 Spagnuolo, Mario
9 Beatty, Millard F. jun.
9 Bustamante, Roger
9 Ganghoffer, Jean-François
9 Gao, Xinlin
9 Goriely, Alain
9 Javili, Ali
9 Murphy, Jeremiah G.
9 Segev, Reuven
8 Batra, Romesh C.
8 Chen, Weiqiu
8 Della Corte, Alessandro
8 Gao, Cun-Fa
8 Grillo, Alfio
8 Horgan, Cornelius Oliver
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 Prikazchikov, Danila A.
7 Ru, Chong-Qing
7 Ting, Thomas C. T.
7 Wheeler, Lewis T.
6 Andreaus, Ugo A.
6 Bersani, Alberto Maria
6 Buryachenko, Valeriy A.
6 Chudinovich, Igor Yuryevich
6 Cleja-Țigoiu, Sanda
6 Enakoutsa, Koffi
6 Jiang, Qing
6 Kumar, Ajeet
6 Luongo, Angelo
6 Markenscoff, Xanthippi
6 Matei, Andaluzia Cristina
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 Tambača, Josip
6 Yavari, Arash
6 Yildizdag, M. Erden
5 Agrawal, Ashutosh
5 Băeşu, Eveline A.
5 Boulanger, Philippe
5 Carroll, Michael M.
5 Chatzigeorgiou, George
5 Ciallella, Alessandro
5 Coman, Ciprian D.
5 Destrade, Michel
5 Erbaş, Bariş
5 Fosdick, Roger L.
5 Fu, Yibin
5 Ghiba, Ionel-Dumitrel
5 Hayes, Michael Alphonsus
5 Kim, Chun Il
5 Kouris, Demitris A.
5 Lebedev, Leonid Petrovich
5 Merodio, Jose
5 Mioduchowski, Andrew
5 Misra, Anil
5 O’Reilly, Oliver Mary
5 Papadopoulos, Panayiotis
5 Pence, Thomas J.
...and 2,005 more Authors

Publications by Year

Citations contained in zbMATH Open

1,161 Publications have been cited 7,056 times in 4,298 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
180
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
161
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.
88
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
78
2017
Isogeometric analysis of plane-curved beams. Zbl 1370.74084
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio
75
2016
Conspectus of concepts of elasticity. Zbl 1269.74014
Rajagopal, K. R.
67
2011
On the elliptic inclusion in anti-plane shear. Zbl 1001.74509
Ru, Chong-Qing; Schiavone, Peter
63
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
61
2014
Constitutive models for strongly curved beams in the frame of isogeometric analysis. Zbl 1333.74051
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio; Stochino, Flavio
56
2016
Mathematical analysis of a bonded joint with a soft thin adhesive. Zbl 1001.74591
Gaymonat, Giuseppe; Krasucki, Françoise; Lenci, Stefano
55
1999
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009
Jeong, Jena; Neff, Patrizio
50
2010
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca
48
2019
Moore-Gibson-Thompson thermoelasticity. Zbl 07273404
Quintanilla, Ramón
48
2019
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
46
2007
On the Cauchy-Born rule. Zbl 1161.74305
Ericksen, J. L.
42
2008
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
41
2007
Nonlinear viscoelastic solids – a review. Zbl 1197.74021
Wineman, A.
41
2009
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
39
2018
Peridynamics review. Zbl 07273389
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda
39
2019
Nonlinear elastic bodies exhibiting limiting small strain. Zbl 1269.74026
Rajagopal, K. R.
38
2011
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
36
2015
Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Zbl 1332.74003
Eremeyev, Victor A.; Pietraszkiewicz, Wojciech
35
2016
Stress-modulated growth. Zbl 1149.74040
Ambrosi, D.; Guana, F.
35
2007
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
35
2020
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
34
2002
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
Material symmetry and chirality in nonlinearly elastic rods. Zbl 1090.74610
Healey, T. J.
33
2002
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
32
2006
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
32
2010
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
32
2008
A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis. Zbl 1332.74007
AminPour, H.; Rizzi, N.
31
2016
On the evolution of plasticity and incompatibility. Zbl 1133.74009
Gupta, Anurag; Steigmann, David J.; Stölken, James S.
30
2007
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
28
2002
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
27
2009
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 the origins of the idea of the multiplicative decomposition of the deformation gradient. Zbl 1371.74002
Sadik, Souhayl; Yavari, Arash
25
2017
Uniform fields inside two non-elliptical inclusions. Zbl 07278887
Wang, Xu
25
2012
Generalization of Drucker’s yield criterion to orthotropy. Zbl 1128.74303
Cazacu, Oana; Barlat, Frédéric
24
2001
Positive definiteness of anisotropic elastic constants. Zbl 1001.74511
Ting, T. C. T.
24
1996
On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Zbl 1001.74588
Steigmann, D. J.
24
1999
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
24
2021
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
23
2017
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
23
2006
Universal relations for fiber-reinforced elastic materials. Zbl 1032.74006
Saccomandi, Giuseppe; Beatty, Millard F.
23
2002
On the formulation of balance laws for electromagnetic continua. Zbl 1257.74052
Steigmann, David J.
23
2009
On fractional thermoelasticity. Zbl 1269.74055
El-Karamany, Ahmed S.; Ezzat, Magdy A.
23
2011
Azimuthal shear of a transversely isotropic elastic solid. Zbl 1175.74018
Kassianidis, F; Ogden, R. W.; Merodio, J.; Pence, T. J.
23
2008
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
23
2019
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
23
2009
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
23
2019
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations. Zbl 1371.74012
Hassanpour, Soroosh; Heppler, Glenn R.
22
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
22
2004
Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Zbl 1052.74012
Steigmann, David J.
22
2003
On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100
Khludnev, A. M.; Leugering, G. R.
21
2015
A two-dimensional peridynamic model for thin plates. Zbl 1330.74111
Taylor, Michael; Steigmann, David J.
21
2015
The application of the Stroh formalism to prestressed elastic media. Zbl 1001.74515
Chadwick, P.
21
1997
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
21
2010
On constitutive models for limited elastic, molecular based materials. Zbl 1175.74015
Beatty, Millard F.
21
2008
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.
21
2010
A discrete formulation of Kirchhoff rods in large-motion dynamics. Zbl 1482.74105
Giorgio, Ivan
21
2020
Nonlinear elasticity with limiting small strain for cracks subject to non-penetration. Zbl 1371.74245
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R.
20
2017
A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling. Zbl 1425.74267
Spagnuolo, Mario; Andreaus, Ugo
20
2019
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics. Zbl 07259257
Misra, Anil; Poorsolhjouy, Payam
20
2020
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
19
2017
Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Zbl 1338.74060
Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro
19
2016
Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193
Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore
19
2015
A theory of volumetric growth for compressible elastic biological materials. Zbl 1022.74027
Klisch, Stephen M.; Van Dyke, Timothy J.; Hoger, Anne
19
2001
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
Must elastic materials be hyperelastic? Zbl 1257.74017
Carroll, M. M.
19
2009
A clarification of the role of crack-tip conditions in linear elasticity with surface effects. Zbl 07280028
Kim, Ci; Ru, C.-Q.; Schiavone, P.
19
2013
Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 07280031
Yavari, Arash; Goriely, Alain
19
2013
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.
19
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
19
2021
Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203
Khludnev, A. M.; Faella, L.; Popova, T. S.
18
2017
Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065
Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul
18
2014
On the theoretical foundations of thin solid and liquid shells. Zbl 1373.74069
Sauer, Roger A.; Duong, Thang X.
18
2017
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
18
2004
On the theory of viscoelastic mixtures and stability. Zbl 1175.74028
Ieşan, D.; Nappa, L.
18
2008
Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories. Zbl 1197.74031
Magaña, A.; Quintanilla, R.
18
2009
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
17
2017
Orthogonal irreducible decompositions of tensors of high orders. Zbl 1028.74007
Zou, W.-N.; Zheng, Q.-S.; Du, D.-X.; Rychlewski, J.
17
2001
Swelling-induced cavitation of elastic spheres. Zbl 1141.74014
Pence, Thomas J.; Tsai, Hungyu
17
2006
Memory-type boundary control of a laminated Timoshenko beam. Zbl 07272701
Feng, Baowei; Soufyane, Abdelaziz
17
2020
Three-point bending test of pantographic blocks: numerical and experimental investigation. Zbl 07259266
Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco
17
2020
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
16
2017
A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003
Aguiar, Adair R.; Fosdick, Roger
16
2014
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
16
2017
A thermomechanical framework for the transition of a viscoelastic liquid to viscoelastic solid. Zbl 1043.74003
Kannan, K.; Rajagopal, K. R.
16
2004
Invariants of the stretch tensors and their application to finite elasticity theory. Zbl 1047.74007
Steigmann, David J.
16
2002
Stiffness optimization in nonlinear pantographic structures. Zbl 1482.74143
Desmorat, Boris; Spagnuolo, Mario; Turco, Emilio
16
2020
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.
16
2009
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.
15
2015
Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032
Bulíček, M.; Málek, J.; Süli, E.
15
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
15
2015
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.
15
2018
Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039
Khludnev, Alexander M.; Shcherbakov, Viktor V.
15
2017
Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 07280063
Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A.
15
2013
Reconsideration of continuum thermomechanical quantities in atomic scale simulations. Zbl 1161.74306
Webb, Edmund B. III; Zimmerman, Jonathan A.; Seel, Steven C.
15
2008
A Galerkin method for Biot consolidation model. Zbl 1197.74183
Owczarek, Sebastian
15
2010
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
15
2019
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
9
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
7
2022
A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams. Zbl 07590412
Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco
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
5
2022
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Zbl 07601703
Turco, Emilio; Barchiesi, Emilio; dell’Isola, Francesco
5
2022
Two-field variational formulations for a class of nonlinear mechanical models. Zbl 07619149
Matei, Andaluzia; Osiceanu, Madalina
5
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
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
4
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
3
2022
Characterization of the symmetry class of an elasticity tensor using polynomial covariants. Zbl 07590418
Olive, Marc; Kolev, Boris; Desmorat, Rodrigue; Desmorat, Boris
3
2022
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. Zbl 07590424
Yoon, Hyun C.; Mallikarjunaiah, S. M.
3
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.
3
2022
Variety of fiber orientation tensors. Zbl 07601704
Bauer, Julian Karl; Böhlke, Thomas
3
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
3
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
2
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
2
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
2
2022
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729
Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac
2
2022
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas. Zbl 07619117
Turco, Emilio
2
2022
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams. Zbl 07619127
Greco, Leopoldo; Cuomo, Massimo; Castello, Domenico; Scrofani, Angelo
2
2022
The effect of local random defects on the response of pantographic sheets. Zbl 07619129
La Valle, Gabriele; Ciallella, Alessandro; Falsone, Giovanni
2
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
2
2022
Homogenization of the wave equation with non-uniformly oscillating coefficients. Zbl 07619139
Shahraki, Danial P.; Guzina, Bojan B.
2
2022
Characteristic foliations of material evolution: from remodeling to aging. Zbl 07619141
Jiménez, Víctor Manuel; de León, Manuel; Epstein, Marcelo
2
2022
Decomposition of third-order constitutive tensors. Zbl 07590421
Itin, Yakov; Reches, Shulamit
1
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.
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
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
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
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
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties. Zbl 07601669
Stilz, Maximilian; Plappert, David; Gutmann, Florian; Hiermaier, Stefan
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
Anisotropic imperfect interface in elastic particulate composite with initial stress. Zbl 07601689
Kushch, Volodymyr I.; Mogilevskaya, Sofia G.
1
2022
Finsler differential geometry in continuum mechanics: fundamental concepts, history, and renewed application to ferromagnetic solids. Zbl 07601691
Clayton, John D.
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
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
1
2022
On tangent geometry and generalised continuum with defects. Zbl 07601708
Nguyen, Van Hoi; Casale, Guy; Le Marrec, Loïc
1
2022
Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719
Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A.
1
2022
Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings. Zbl 07601733
Zubov, Leonid; Karyakin, Mikhail
1
2022
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields. Zbl 07619113
Wang, Xu; Schiavone, Peter
1
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
1
2022
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables. Zbl 07619123
Fedele, Roberto
1
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
1
2022
On variational principles in coupled strain-gradient elasticity. Zbl 07619135
Nazarenko, Lidiia; Glüge, Rainer; Altenbach, Holm
1
2022
Matrix-embedded metamaterials: applications for the architectural heritage. Zbl 07619136
Spagnuolo, Mario; Reccia, Emanuele; Ciallella, Alessandro; Cazzani, Antonio
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
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
24
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.
19
2021
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca
19
2021
A domain of influence theorem under MGT thermoelasticity theory. Zbl 07357403
Jangid, Komal; Mukhopadhyay, Santwana
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.
9
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.
8
2021
Lagrangian descriptions of dissipative systems: a review. Zbl 07357428
Bersani, Alberto Maria; Caressa, Paolo
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
6
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.
6
2021
Stepwise analysis of pantographic beams subjected to impulsive loads. Zbl 1486.74088
Turco, Emilio
6
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
5
2021
Finite element formulations for constrained spatial nonlinear beam theories. Zbl 07589921
Harsch, Jonas; Capobianco, Giuseppe; Eugster, Simon R.
5
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
5
2021
Influence of non-local diffusion in avascular tumour growth. Zbl 07582897
Ramírez-Torres, Ariel; Di Stefano, Salvatore; Grillo, Alfio
4
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
4
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
4
2021
A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects. Zbl 07582898
Zhang, Gy; Gao, X.-L.
3
2021
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains. Zbl 07589899
Davoli, Elisa; Roubček, Tomáš; Stefanelli, Ulisse
3
2021
A note on viscoelastic bodies whose material properties depend on the density. Zbl 07589914
Rajagopal, K. R.; Wineman, A.
3
2021
On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. Zbl 07357399
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick
3
2021
Linear peridynamics for triclinic materials. Zbl 07582881
Mikata, Yozo
2
2021
Local material symmetry group for first- and second-order strain gradient fluids. Zbl 07582892
Eremeyev, Victor A.
2
2021
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties. Zbl 07582895
Ryvkin, Michael; Cherkaev, Andrej
2
2021
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis. Zbl 07589902
Laudato, M.; Manzari, L.; Giorgio, I.; Spagnuolo, M.; Göransson, P.
2
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
2
2021
On the statics and dynamics of granular-microstructured rods with higher order effects. Zbl 07589920
Nejadsadeghi, Nima; Misra, Anil
2
2021
Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects. Zbl 07357395
Demirkuş, Dilek
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
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
2
2021
A simplified metaelastic model for coated sphere-filled random composites. Zbl 07582878
Ru, C. Q.
1
2021
Elastohydrodynamic lubrication line contact in couple-stress elasticity. Zbl 07582884
Su, Jie; Song, Hong-Xia; Ke, Liao-Liang
1
2021
A new approach to curvature measures in linear shell theories. Zbl 07582896
Šilhavý, Miroslav
1
2021
Electric-elastic analysis of multilayered two-dimensional decagonal quasicrystal circular plates with simply supported or clamped boundary conditions. Zbl 07582900
Huang, Yunzhi; Zhao, Min; Feng, Miaolin
1
2021
The domain of existence of solitary waves in fluid-filled thin elastic tubes. Zbl 07582901
Defaz, R. Ivan; Epstein, Marcelo; Federico, Salvatore
1
2021
Variational principles of nonlinear magnetoelastostatics and their correspondences. Zbl 07589897
Sharma, Basant Lal; Saxena, Prashant
1
2021
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives. Zbl 07589903
Huang, Yishuang; Wei, Peijun; Xu, Yuqian; Li, Yueqiu
1
2021
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder. Zbl 07589912
Sherief, Hany H.; Elhagary, Mohammed A.
1
2021
Multiple ellipsoidal/elliptical inhomogeneities embedded in infinite matrix by equivalent inhomogeneous inclusion method. Zbl 07589919
Yu, Xiu-Wei; Wang, Zhong-Wei; Wang, Hao
1
2021
Numerical investigation of the 2d-1d structure interaction model. Zbl 07589923
Ljulj, Matko; Tambača, Josip
1
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
The Neumann problem in plane deformations of a micropolar elastic solid with micropolar surface effects. Zbl 1486.74006
Gharahi, Alireza; Schiavone, Peter
1
2021
An analysis of lipid membrane morphology in the presence of coordinate-dependent non-uniformity. Zbl 1486.74091
Yao, Wenhao; Kim, Chun Il
1
2021
Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059
Ege, Nihal; Erbaş, Barış; Kaplunov, Julius
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
Four states of matter and centrally symmetric de Broglie particle-wave mechanical systems. Zbl 07357402
Hill, James M.
1
2021
Local gradient Bernoulli-Euler beam model for dielectrics: effect of local mass displacement on coupled fields. Zbl 07357413
Hrytsyna, Olha
1
2021
Compatibility conditions of continua using Riemann-Cartan geometry. Zbl 07357414
Böhmer, Christian G.; Lee, Yongjo
1
2021
Electric features of dislocations and electric force between dislocations. Zbl 07357419
Huang, Yuanjie
1
2021
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects. Zbl 07357423
Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca
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
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Cited by 4,800 Authors

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67 Wang, Xu
48 dell’Isola, Francesco
41 Giorgio, Ivan
41 Sofonea, Mircea
40 Fernández, Jose Ramon
40 Steinmann, Paul
38 Bustamante, Roger
38 Placidi, Luca
38 Steigmann, David J.
36 Eremeyev, Victor A.
34 Madeo, Angela
33 Saccomandi, Giuseppe
33 Turco, Emilio
32 Barchiesi, Emilio
32 Mukhopadhyay, Santwana
30 Goriely, Alain
29 Ghiba, Ionel-Dumitrel
29 Khan, Akhtar Ali
29 Wineman, Alan S.
27 Horgan, Cornelius Oliver
27 Ogden, Raymond William
25 Yavari, Arash
24 Khludnev, Aleksandr Mikhaĭlovich
23 Dai, Ming
22 Roubíček, Tomáš
21 Bazarra, Noelia
21 Dai, Hui-Hui
21 Han, Weimin
21 Matei, Andaluzia Cristina
21 Migórski, Stanisław
20 Gao, Xinlin
20 Javili, Ali
20 Merodio, Jose
19 Ganghoffer, Jean-François
19 Jadamba, Baasansuren
19 Kanoria, Mridula
19 Murphy, Jeremiah G.
19 Paroni, Roberto
18 Bîrsan, Mircea
18 Grillo, Alfio
18 Misra, Anil
18 Sauer, Roger A.
17 Della Corte, Alessandro
17 Destrade, Michel
17 Federico, Salvatore
17 Pence, Thomas J.
17 Potapenko, Stanislav
17 Pruchnicki, Erick
16 Constanda, Christian
16 Ostoja-Starzewski, Martin
16 Rizzi, Nicola Luigi
16 Sama, Miguel
16 Sur, Abhik
15 Rosi, Giuseppe A.
15 Spagnuolo, Mario
15 Tambača, Josip
14 Abali, Bilen Emek
14 Acharya, Amit
14 Andreaus, Ugo A.
14 Ansari, Reza
14 Kaplunov, Julius D.
14 Lazarev, Nyurgun Petrovich
14 Stefanelli, Ulisse
14 Zeng, Shengda
13 Cazzani, Antonio M.
13 Cuomo, Massimo
13 Epstein, Marcelo
13 Eugster, Simon Raphael
13 Greco, Leopoldo
13 Kovtunenko, Viktor Anatolievich
13 Kumar, Ajeet
13 Málek, Josef
13 Owen, David Ross
13 Piersanti, Paolo
13 Sfyris, Dimitris
13 Tarantino, Angelo Marcello
13 Tomassetti, Giuseppe
13 Truskinovsky, Lev
13 Xiao, Yibin
12 Andrianov, Igor Vasil’evich
12 Batra, Romesh C.
12 Chen, Weiqiu
12 Ciallella, Alessandro
12 Coman, Ciprian D.
12 Gao, Cun-Fa
12 Gil, Antonio J.
12 Iesan, Dorin
12 Kružík, Martin
12 Lurie, Sergey A.
12 Mi, Changwen
12 Mondal, Sudip
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12 Segev, Reuven
12 Shariff, M. H. B. M.
12 Zhang, Gongye
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Cited in 316 Journals

619 Mathematics and Mechanics of Solids
257 Acta Mechanica
253 Journal of Elasticity
236 International Journal of Engineering Science
208 Computer Methods in Applied Mechanics and Engineering
200 ZAMP. Zeitschrift für angewandte Mathematik und Physik
154 Journal of the Mechanics and Physics of Solids
148 European Journal of Mechanics. A. Solids
129 Continuum Mechanics and Thermodynamics
90 Applied Mathematical Modelling
89 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
76 Wave Motion
74 Meccanica
69 Computational Mechanics
49 International Journal of Solids and Structures
48 Journal of Engineering Mathematics
46 Archive for Rational Mechanics and Analysis
42 Mathematics and Mechanics of Complex Systems
40 Journal of Mathematical Analysis and Applications
38 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
34 Waves in Random and Complex Media
33 Journal of Computational and Applied Mathematics
32 Mathematical Methods in the Applied Sciences
31 Applicable Analysis
30 Journal of Computational Physics
28 Nonlinear Analysis. Real World Applications
27 Applied Mathematics and Computation
27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Engineering Analysis with Boundary Elements
27 AMM. Applied Mathematics and Mechanics. (English Edition)
26 Computers & Mathematics with Applications
25 Archive of Applied Mechanics
24 SIAM Journal on Applied Mathematics
21 Journal of Nonlinear Science
21 Communications in Nonlinear Science and Numerical Simulation
19 Nonlinear Dynamics
18 International Journal of Plasticity
18 International Journal for Numerical Methods in Engineering
18 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
16 Discrete and Continuous Dynamical Systems. Series S
15 Quarterly of Applied Mathematics
15 Applied Mathematics Letters
15 SIAM Journal on Mathematical Analysis
14 Mathematical Problems in Engineering
14 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
13 Journal of Differential Equations
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Lobachevskii Journal of Mathematics
11 Archives of Mechanics
11 Mathematics and Computers in Simulation
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Acta Mechanica Sinica
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 International Journal of Fracture
9 Physica D
9 Calculus of Variations and Partial Differential Equations
9 Journal of Mathematical Sciences (New York)
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 Evolution Equations and Control Theory
8 Journal of Applied Mathematics and Mechanics
8 Journal of Mathematical Physics
8 Optimization
8 Asymptotic Analysis
8 Journal of Scientific Computing
8 Mediterranean Journal of Mathematics
8 Journal of Theoretical Biology
8 Mechanics of Solids
7 Journal of Optimization Theory and Applications
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Acta Applicandae Mathematicae
7 Applied Numerical Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Nonlinear and Variational Analysis
6 Mechanics Research Communications
6 Numerical Functional Analysis and Optimization
6 Applied Mathematics and Mechanics. (English Edition)
6 Applications of Mathematics
6 Computational and Applied Mathematics
6 Journal of Applied Mechanics and Technical Physics
6 Archives of Computational Methods in Engineering
6 Theoretical and Applied Mechanics
6 GAMM-Mitteilungen
6 Mathematics in Engineering
5 Applied Mathematics and Optimization
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
5 Mathematical Modelling and Analysis
5 International Journal of Computational Methods
5 Boundary Value Problems
5 Inverse Problems in Science and Engineering
5 Networks and Heterogeneous Media
5 Advances in Mathematical Physics
4 Journal of Fluid Mechanics
4 Reports on Mathematical Physics
4 Journal of Geometry and Physics
4 Computational Mathematics and Mathematical Physics
4 Linear Algebra and its Applications
4 SIAM Journal on Scientific Computing
4 Applicationes Mathematicae
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54 Optics, electromagnetic theory (78-XX)
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