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Mathematics and Mechanics of Complex Systems

Short Title: Math. Mech. Complex Syst.
Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA; International Research Center for the Mathematics and Mechanics of Complex Systems c/o Università Dell’Aquila
ISSN: 2326-7186; 2325-3444/e
Online: http://msp.org/memocs/
Comments: Indexed cover-to-cover; This journal is available open access.
Documents Indexed: 154 Publications (since 2013)
References Indexed: 97 Publications with 2,927 References.
all top 5

Authors

7 Steigmann, David J.
5 Allena, Rachele
5 Schiavone, Peter
5 Wang, Xu
4 Giorgio, Ivan
4 Pulvirenti, Mario
3 Askes, Harm
3 Barchiesi, Emilio
3 Bersani, Alberto Maria
3 Challamel, Noël
3 Cluzel, Christophe
3 Del Piero, Gianpietro
3 dell’Isola, Francesco
3 Eugster, Simon Raphael
3 Mahnken, Rolf
3 Müller, Wolfgang H.
3 Ostoja-Starzewski, Martin
3 Placidi, Luca
3 Rémond, Yves
3 Russo, Lucio
3 Šilhavý, Miroslav
3 Simonella, Sergio
2 Auffray, Nicolas
2 Briane, Marc
2 Caylak, Ismail
2 Ciallella, Alessandro
2 Darve, Félix
2 Desmorat, Boris
2 Epstein, Marcelo
2 Fuschi, Paolo
2 George, Daniel
2 Gouin, Henri
2 Grecchi, Vincenzo
2 Grimmett, Geoffrey R.
2 Harutyunyan, Davit
2 Hendrickson, Brett
2 Isola, Stefano
2 Konovalov, Dmitriĭ Andreevich
2 Lerbet, Jean
2 Levin, Vladimir Anatol’evich
2 Luongo, Angelo
2 Marigo, Jean-Jacques
2 Milton, Graeme Walter
2 Misra, Anil
2 Nicot, François
2 Olive, Marc
2 Penner, Eduard
2 Pisano, Aurora Angela
2 Polizzotto, Castrenze
2 Shirani, Milad
2 Templet, Gary J.
2 Turco, Emilio
2 Van Goethem, Nicolas
2 Vershinin, Anatoliĭ Viktorovich
1 Abdoul-Anziz, Houssam
1 Abisset-Chavanne, Emmanuelle
1 Agrawal, Ashutosh
1 Aizikovich, Sergei M.
1 Alaluf, David
1 Aldowaji, Marwa
1 Aleandri, Michele
1 Alibert, Jean-Jacques
1 Alipour, Amin
1 Altenbach, Holm
1 Amar, Micol
1 Amiri-Hezaveh, Amirhossein
1 Andreaus, Ugo A.
1 Andrić, Marijan
1 Avalishvili, Gia
1 Avalishvili, Mariam
1 Babilio, Enrico
1 Bakharev, Fedor L’vovich
1 Baragatti, Paolo
1 Barone, Fiorella
1 Barroso, Ana Cristina
1 Bastaits, Renaud
1 Benedetto, Canio
1 Benedetto, Dario
1 Benini, Marco
1 Benjamini, Itai
1 Bensalem, Naceurdine
1 Bensidhoum, Morad
1 Berezovski, Arkadi
1 Berrehili, Yahya
1 Bertram, Albrecht
1 Bessonov, Nikolai
1 Bettebghor, Dimitri
1 Bhujakkanavar, Umesh
1 Bocharov, Gennady A.
1 Borri, Alessandro
1 Bourzac, Céline
1 Boutin, Claude
1 Braides, Andrea
1 Brieu, Mathias
1 Browning, Florence
1 Caglioti, Emanuele
1 Campanino, Massimo
1 Capasso, Vincenzo
1 Caressa, Paolo
1 Carlen, Eric Anders
...and 161 more Authors
all top 5

Fields

87 Mechanics of deformable solids (74-XX)
28 Partial differential equations (35-XX)
17 Biology and other natural sciences (92-XX)
16 Mechanics of particles and systems (70-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Probability theory and stochastic processes (60-XX)
14 Fluid mechanics (76-XX)
10 History and biography (01-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Ordinary differential equations (34-XX)
6 Operator theory (47-XX)
6 Quantum theory (81-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Differential geometry (53-XX)
5 Numerical analysis (65-XX)
4 Optics, electromagnetic theory (78-XX)
4 Systems theory; control (93-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
2 Group theory and generalizations (20-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 560 times in 349 Documents Cited by Year
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca
49
2017
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. Zbl 1452.74019
Placidi, Luca; Barchiesi, Emilio; Misra, Anil
48
2018
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
32
2018
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
29
2015
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
23
2019
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
20
2014
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
19
2019
Symmetry classes for even-order tensors. Zbl 1391.15089
Olive, Marc; Auffray, Nicolas
17
2013
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
16
2020
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
15
2017
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
13
2018
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
12
2017
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
11
2015
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
Engelbrecht, Jüri; Berezovski, Arkadi
10
2015
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
10
2019
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
9
2014
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
8
2014
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
8
2013
A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers. Zbl 1446.74080
Giorgio, Ivan; Rizzi, Nicola L.; Andreaus, Ugo; Steigmann, David J.
8
2019
An appreciation and discussion of Paul Germain’s “The method of virtual power in the mechanics of continuous media. I.: second-gradient theory”. Zbl 1440.74004
Epstein, Marcelo; Smelser, Ronald E.
8
2020
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
7
2014
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
7
2018
The variational structure of classical plasticity. Zbl 1401.74052
Del Piero, Gianpietro
7
2018
Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052
Scala, Riccardo; Van Goethem, Nicolas
7
2016
Gradient materials with internal constraints. Zbl 1333.74011
Bertram, Albrecht; Glüge, Rainer
7
2016
Unified geometric formulation of material uniformity and evolution. Zbl 1333.74010
Epstein, Marcelo; de León, Manuel
6
2016
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
6
2016
The general form of the relaxation of a purely interfacial energy for structured deformations. Zbl 1447.49026
Šilhavý, Miroslav
6
2017
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
5
2015
On the approximation theorem for structured deformations from \(BV(\Omega)\). Zbl 1309.74067
Šilhavý, Miroslav
5
2015
Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054
Milton, Graeme; Harutyunyan, Davit; Briane, Marc
5
2017
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
5
2017
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
5
2020
A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications. Zbl 1473.65213
Tran, Loc V.; Niiranen, Jarkko
5
2020
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
4
2015
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
4
2014
Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations. Zbl 1453.74021
Allena, Rachele; Cluzel, Christophe
4
2018
A general method for the determination of the local orthotropic directions of heterogeneous materials: application to bone structures using \({\mu}\mathrm{CT}\) images. Zbl 1460.74014
Cluzel, Christophe; Allena, Rachele
4
2018
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
4
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
4
2016
A variational formulation for fuzzy analysis in continuum mechanics. Zbl 1440.74269
Mahnken, Rolf
4
2017
Explicit formulas for relaxed disarrangement densities arising from structured deformations. Zbl 1447.49019
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David
4
2017
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
3
2014
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
3
2013
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
3
2018
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
3
2016
Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals. Zbl 1334.74014
Wang, Xu; Schiavone, Peter
3
2013
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric. Zbl 1357.49071
Carlen, Eric A.; Craig, Katy
3
2013
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
3
2016
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
3
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
3
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
3
2016
Tumor growth modelling by cellular automata. Zbl 1378.74047
Interian, Ruben; Rodríguez-Ramos, Reinaldo; Valdés-Ravelo, Fernando; Ramírez-Torres, Ariel; Ribeiro, Celso; Conci, Aura
3
2017
A mixed boundary value problem in potential theory for a bimaterial porous region: an application in the environmental geosciences. Zbl 1299.76267
Selvadurai, A. P. S.
2
2014
The homogenized behavior of unidirectional fiber-reinforced composite materials in the case of debonded fibers. Zbl 1295.35040
Berrehili, Yahya; Marigo, Jean-Jacques
2
2014
Canonical duality theory and triality for solving general global optimization problems in complex systems. Zbl 1321.49055
Morales-Silva, Daniel; Gao, David
2
2015
Homogenization of nonlinear inextensible pantographic structures by \(\Gamma \)-convergence. Zbl 1456.74140
Alibert, Jean-Jacques; Della Corte, Alessandro
2
2019
A note on Couette flow of micropolar fluids according to Eringen’s theory. Zbl 1428.74020
Rickert, Wilhelm; Vilchevskaya, Elena N.; Müller, Wolfgang H.
2
2019
Ptolemy’s longitudes and Eratosthenes’ measurement of the Earth’s circumference. Zbl 1341.01006
Russo, Lucio
2
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2
2013
A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Zbl 1443.60006
Penner, Eduard; Caylak, Ismail; Dridger, Alex; Mahnken, Rolf
2
2019
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
2
2020
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
2
2020
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
1
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
1
2015
Asymptotic analysis of small defects near a singular point in antiplane elasticity, with an application to the nucleation of a crack at a notch. Zbl 1295.35034
Dang, Thi Bach Tuyet; Halpern, Laurence; Marigo, Jean-Jacques
1
2014
Self-organized stochastic tipping in slow-fast dynamical systems. Zbl 1302.37055
Linkerhand, Mathias; Gros, Claudius
1
2013
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
1
2015
Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates. Zbl 1428.74077
Browning, Florence; Askes, Harm
1
2019
Far-reaching Hellenistic geographical knowledge hidden in Ptolemy’s data. Zbl 1401.01014
Russo, Lucio
1
2018
Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space. Zbl 1405.35209
Kumar, Santosh; Mandal, Dinbandhu
1
2018
Stability analysis of two coupled oscillators. Zbl 1369.70037
Guzev, Mickhail A.; Dmitriev, Alexandr A.
1
2016
Analysis of the electromagnetic reflection and transmission through a stratified lossy medium of an elliptically polarized plane wave. Zbl 1353.78015
Mangini, Fabio; Frezza, Fabrizio
1
2016
Dislocation-induced linear-elastic strain dynamics by a Cahn-Hilliard-type equation. Zbl 1354.35149
Van Goethem, Nicolas
1
2016
An analysis of the latitudinal data of Eratosthenes and Hipparchus. Zbl 1337.01002
Marx, Christian
1
2015
Spatial and material stress tensors in continuum mechanics of growing solid bodies. Zbl 1381.74024
Ganghoffer, Jean-François
1
2015
On linear non-local thermo-viscoelastic waves in fluids. Zbl 1421.35359
Goddard, Joe
1
2018
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
1
2020
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
1
2020
Modeling the linear dynamics of continuous viscoelastic systems on their infinite-dimensional central subspace. Zbl 1445.74012
Luongo, Angelo; D’Annibale, Francesco
1
2020
From quantum to classical world: emergence of trajectories in a quantum system. Zbl 1356.81225
Figari, Rodolfo; Teta, Alessandro
1
2016
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
1
2016
A remark on eigenvalue perturbation theory at vanishing isolation distance. Zbl 1356.81134
Barone, Fiorella; Graffi, Sandro
1
2016
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
1
2016
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
1
2017
A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity. Zbl 1473.92008
George, Daniel; Allena, Rachele; Bourzac, Céline; Pallu, Stéphane; Bensidhoum, Morad; Portier, Hugues; Rémond, Yves
1
2020
General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition. Zbl 1479.35114
Rahmoune, Abita
1
2021
A variational formulation for one-dimensional linear thermoviscoelasticity. Zbl 07626065
Giorgio, Ivan
1
2021
Generalized and graded geometry for mechanics: a comprehensive introduction. Zbl 07632497
Salnikov, Vladimir; Hamdouni, Aziz; Loziienko, Daria
1
2021
Symmetry classes in piezoelectricity from second-order symmetries. Zbl 07632498
Olive, Marc; Auffray, Nicolas
1
2021
General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition. Zbl 1479.35114
Rahmoune, Abita
1
2021
A variational formulation for one-dimensional linear thermoviscoelasticity. Zbl 07626065
Giorgio, Ivan
1
2021
Generalized and graded geometry for mechanics: a comprehensive introduction. Zbl 07632497
Salnikov, Vladimir; Hamdouni, Aziz; Loziienko, Daria
1
2021
Symmetry classes in piezoelectricity from second-order symmetries. Zbl 07632498
Olive, Marc; Auffray, Nicolas
1
2021
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
16
2020
An appreciation and discussion of Paul Germain’s “The method of virtual power in the mechanics of continuous media. I.: second-gradient theory”. Zbl 1440.74004
Epstein, Marcelo; Smelser, Ronald E.
8
2020
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
5
2020
A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications. Zbl 1473.65213
Tran, Loc V.; Niiranen, Jarkko
5
2020
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
2
2020
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
2
2020
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
1
2020
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
1
2020
Modeling the linear dynamics of continuous viscoelastic systems on their infinite-dimensional central subspace. Zbl 1445.74012
Luongo, Angelo; D’Annibale, Francesco
1
2020
A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity. Zbl 1473.92008
George, Daniel; Allena, Rachele; Bourzac, Céline; Pallu, Stéphane; Bensidhoum, Morad; Portier, Hugues; Rémond, Yves
1
2020
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
23
2019
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
19
2019
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
10
2019
A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers. Zbl 1446.74080
Giorgio, Ivan; Rizzi, Nicola L.; Andreaus, Ugo; Steigmann, David J.
8
2019
Homogenization of nonlinear inextensible pantographic structures by \(\Gamma \)-convergence. Zbl 1456.74140
Alibert, Jean-Jacques; Della Corte, Alessandro
2
2019
A note on Couette flow of micropolar fluids according to Eringen’s theory. Zbl 1428.74020
Rickert, Wilhelm; Vilchevskaya, Elena N.; Müller, Wolfgang H.
2
2019
A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Zbl 1443.60006
Penner, Eduard; Caylak, Ismail; Dridger, Alex; Mahnken, Rolf
2
2019
Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates. Zbl 1428.74077
Browning, Florence; Askes, Harm
1
2019
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. Zbl 1452.74019
Placidi, Luca; Barchiesi, Emilio; Misra, Anil
48
2018
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
32
2018
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
13
2018
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
7
2018
The variational structure of classical plasticity. Zbl 1401.74052
Del Piero, Gianpietro
7
2018
Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations. Zbl 1453.74021
Allena, Rachele; Cluzel, Christophe
4
2018
A general method for the determination of the local orthotropic directions of heterogeneous materials: application to bone structures using \({\mu}\mathrm{CT}\) images. Zbl 1460.74014
Cluzel, Christophe; Allena, Rachele
4
2018
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
3
2018
Far-reaching Hellenistic geographical knowledge hidden in Ptolemy’s data. Zbl 1401.01014
Russo, Lucio
1
2018
Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space. Zbl 1405.35209
Kumar, Santosh; Mandal, Dinbandhu
1
2018
On linear non-local thermo-viscoelastic waves in fluids. Zbl 1421.35359
Goddard, Joe
1
2018
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca
49
2017
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
15
2017
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
12
2017
The general form of the relaxation of a purely interfacial energy for structured deformations. Zbl 1447.49026
Šilhavý, Miroslav
6
2017
Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054
Milton, Graeme; Harutyunyan, Davit; Briane, Marc
5
2017
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
5
2017
A variational formulation for fuzzy analysis in continuum mechanics. Zbl 1440.74269
Mahnken, Rolf
4
2017
Explicit formulas for relaxed disarrangement densities arising from structured deformations. Zbl 1447.49019
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David
4
2017
Tumor growth modelling by cellular automata. Zbl 1378.74047
Interian, Ruben; Rodríguez-Ramos, Reinaldo; Valdés-Ravelo, Fernando; Ramírez-Torres, Ariel; Ribeiro, Celso; Conci, Aura
3
2017
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
1
2017
Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052
Scala, Riccardo; Van Goethem, Nicolas
7
2016
Gradient materials with internal constraints. Zbl 1333.74011
Bertram, Albrecht; Glüge, Rainer
7
2016
Unified geometric formulation of material uniformity and evolution. Zbl 1333.74010
Epstein, Marcelo; de León, Manuel
6
2016
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
6
2016
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
4
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
4
2016
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
3
2016
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
3
2016
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
3
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
3
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
3
2016
Stability analysis of two coupled oscillators. Zbl 1369.70037
Guzev, Mickhail A.; Dmitriev, Alexandr A.
1
2016
Analysis of the electromagnetic reflection and transmission through a stratified lossy medium of an elliptically polarized plane wave. Zbl 1353.78015
Mangini, Fabio; Frezza, Fabrizio
1
2016
Dislocation-induced linear-elastic strain dynamics by a Cahn-Hilliard-type equation. Zbl 1354.35149
Van Goethem, Nicolas
1
2016
From quantum to classical world: emergence of trajectories in a quantum system. Zbl 1356.81225
Figari, Rodolfo; Teta, Alessandro
1
2016
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
1
2016
A remark on eigenvalue perturbation theory at vanishing isolation distance. Zbl 1356.81134
Barone, Fiorella; Graffi, Sandro
1
2016
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
1
2016
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
29
2015
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
11
2015
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
Engelbrecht, Jüri; Berezovski, Arkadi
10
2015
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
5
2015
On the approximation theorem for structured deformations from \(BV(\Omega)\). Zbl 1309.74067
Šilhavý, Miroslav
5
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
4
2015
Canonical duality theory and triality for solving general global optimization problems in complex systems. Zbl 1321.49055
Morales-Silva, Daniel; Gao, David
2
2015
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
1
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
1
2015
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
1
2015
An analysis of the latitudinal data of Eratosthenes and Hipparchus. Zbl 1337.01002
Marx, Christian
1
2015
Spatial and material stress tensors in continuum mechanics of growing solid bodies. Zbl 1381.74024
Ganghoffer, Jean-François
1
2015
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
20
2014
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
9
2014
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
8
2014
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
7
2014
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
4
2014
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
3
2014
A mixed boundary value problem in potential theory for a bimaterial porous region: an application in the environmental geosciences. Zbl 1299.76267
Selvadurai, A. P. S.
2
2014
The homogenized behavior of unidirectional fiber-reinforced composite materials in the case of debonded fibers. Zbl 1295.35040
Berrehili, Yahya; Marigo, Jean-Jacques
2
2014
Asymptotic analysis of small defects near a singular point in antiplane elasticity, with an application to the nucleation of a crack at a notch. Zbl 1295.35034
Dang, Thi Bach Tuyet; Halpern, Laurence; Marigo, Jean-Jacques
1
2014
Symmetry classes for even-order tensors. Zbl 1391.15089
Olive, Marc; Auffray, Nicolas
17
2013
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
8
2013
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
3
2013
Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals. Zbl 1334.74014
Wang, Xu; Schiavone, Peter
3
2013
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric. Zbl 1357.49071
Carlen, Eric A.; Craig, Katy
3
2013
Ptolemy’s longitudes and Eratosthenes’ measurement of the Earth’s circumference. Zbl 1341.01006
Russo, Lucio
2
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2
2013
Self-organized stochastic tipping in slow-fast dynamical systems. Zbl 1302.37055
Linkerhand, Mathias; Gros, Claudius
1
2013
all top 5

Cited by 478 Authors

21 Barchiesi, Emilio
19 dell’Isola, Francesco
18 Giorgio, Ivan
14 Khludnev, Aleksandr Mikhaĭlovich
12 Ciallella, Alessandro
12 Eremeyev, Victor A.
12 Placidi, Luca
11 Ostoja-Starzewski, Martin
11 Turco, Emilio
10 Spagnuolo, Mario
9 Misra, Anil
8 Abali, Bilen Emek
8 Bersani, Alberto Maria
8 Cuomo, Massimo
7 Eugster, Simon Raphael
7 Neff, Patrizio
7 Steigmann, David J.
7 Yildizdag, M. Erden
6 Amar, Micol
6 Cazzani, Antonio M.
6 Ganghoffer, Jean-François
6 Owen, David Roger Jones
5 D’Annibale, Francesco
5 de León Rodríguez, Manuel
5 Del Piero, Gianpietro
5 Della Corte, Alessandro
5 Epstein, Marcelo
5 Gianni, Roberto
5 Greco, Leopoldo
5 Jiménez, Víctor Manuel
5 Luongo, Angelo
5 Seppecher, Pierre
5 Van Goethem, Nicolas
4 Abdoul-Anziz, Houssam
4 Braides, Andrea
4 Caylak, Ismail
4 Desmorat, Boris
4 Laudato, Marco
4 Lurie, Sergey A.
4 Mahnken, Rolf
4 Malyarenko, Anatoliy A.
4 Cardoso Matias, José Carlos Pedro
4 Morandotti, Marco
4 Penner, Eduard
4 Rahali, Yosra
4 Scerrato, Daria
4 Sessa, Salvatore
3 Andreaus, Ugo A.
3 Boutin, Claude
3 Challamel, Noël
3 Darve, Félix
3 Di Cosmo, Fabio
3 Faella, Luisa
3 Ganzosch, Gregor
3 George, Daniel
3 Ghiba, Ionel-Dumitrel
3 Grillo, Alfio
3 Khakalo, Sergei
3 Lakiss, Hassan
3 Lerbet, Jean
3 Madeo, Angela
3 Marchioro, Carlo
3 Nejadsadeghi, Nima
3 Nicot, François
3 Niiranen, Jarkko
3 Paradiso, Massimo
3 Pareschi, Lorenzo
3 Popova, Tatiana Semenovna
3 Rizzi, Nicola Luigi
3 Rosati, Luciano
3 Scala, Riccardo
3 Shcherbakov, Viktor Viktorovich
3 Shirani, Milad
3 Solci, Margherita
3 Solyaev, Yury O.
3 Yalçin, Sibel
2 Aghalovyan, Lenser A.
2 Aifantis, Elias C.
2 Akinola, Ade P.
2 Alibert, Jean-Jacques
2 Allena, Rachele
2 Altinkaya, Şahsene
2 Amiri-Hezaveh, Amirhossein
2 Amirian, Benhour
2 Andreucci, Daniele
2 Aydin, Gokhan
2 Baniassadi, Majid
2 Barroso, Ana Cristina
2 Battista, Antonio
2 Bertaglia, Giulia
2 Borokinni, Adebowale S.
2 Boscheri, Walter
2 Buttà, Paolo
2 Caressa, Paolo
2 Casalotti, Arnaldo
2 Cavallaro, Guido
2 Chełmiński, Krzysztof
2 Contrafatto, Loredana
2 Craig, Katy
2 Dimarco, Giacomo
...and 378 more Authors
all top 5

Cited in 85 Journals

78 Mathematics and Mechanics of Solids
26 Mathematics and Mechanics of Complex Systems
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Journal of Elasticity
13 Continuum Mechanics and Thermodynamics
9 Computer Methods in Applied Mechanics and Engineering
7 Acta Mechanica
7 Journal of the Mechanics and Physics of Solids
7 European Journal of Mechanics. A. Solids
6 Archive for Rational Mechanics and Analysis
5 International Journal of Engineering Science
5 Journal of Statistical Physics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Wave Motion
4 Applied Mathematical Modelling
3 Journal of Mathematical Analysis and Applications
3 Journal of Geometry and Physics
3 Journal of Computational and Applied Mathematics
3 Computational Mechanics
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Computers & Mathematics with Applications
2 Mathematical Methods in the Applied Sciences
2 Journal of Differential Equations
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 Archive of Applied Mechanics
2 Journal of Nonlinear Science
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Communications in Nonlinear Science and Numerical Simulation
2 Mathematical Biosciences and Engineering
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Geometric Mechanics
1 Archive for History of Exact Sciences
1 Archives of Mechanics
1 European Journal of Physics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Physica A
1 Reviews in Mathematical Physics
1 Applied Mathematics and Computation
1 Inventiones Mathematicae
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Ricerche di Matematica
1 Acta Applicandae Mathematicae
1 Journal of the Nigerian Mathematical Society
1 Applied Numerical Mathematics
1 Optimization
1 European Journal of Applied Mathematics
1 Neural Computation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Calculus of Variations and Partial Differential Equations
1 Theory of Probability and Mathematical Statistics
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Nonlinear Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. B. Fluids
1 Interfaces and Free Boundaries
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Statistical Mechanics: Theory and Experiment
1 Foundations of Physics
1 Waves in Random and Complex Media
1 Proyecciones
1 Mathematical Modelling of Natural Phenomena
1 Evolution Equations and Control Theory
1 EMS Surveys in Mathematical Sciences
1 Journal of Function Spaces
1 International Journal of Applied and Computational Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Journal of Elliptic and Parabolic Equations
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 AIMS Mathematics
1 Mechanics of Solids
all top 5

Cited in 40 Fields

270 Mechanics of deformable solids (74-XX)
53 Partial differential equations (35-XX)
22 Statistical mechanics, structure of matter (82-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
20 Fluid mechanics (76-XX)
20 Biology and other natural sciences (92-XX)
15 Probability theory and stochastic processes (60-XX)
14 Numerical analysis (65-XX)
13 Mechanics of particles and systems (70-XX)
11 Differential geometry (53-XX)
10 Optics, electromagnetic theory (78-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Ordinary differential equations (34-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
5 Functions of a complex variable (30-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Operations research, mathematical programming (90-XX)
2 Quantum theory (81-XX)
2 Relativity and gravitational theory (83-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year