## 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: 127 Publications (since 2013) References Indexed: 54 Publications with 1,539 References.
all top 5

### Latest Issues

 9, No. 2 (2021) 8, No. 4 (2020) 8, No. 3 (2020) 8, No. 2 (2020) 8, No. 1 (2020) 7, No. 4 (2019) 7, No. 2 (2019) 7, No. 1 (2019) 6, No. 4 (2018) 6, No. 3 (2018) 6, No. 2 (2018) 6, No. 1 (2018) 5, No. 3-4 (2017) 5, No. 2 (2017) 5, No. 1 (2017) 4, No. 3-4 (2016) 4, No. 2 (2016) 4, No. 1 (2016) 3, No. 4 (2015) 3, No. 3 (2015) 3, No. 2 (2015) 3, No. 1 (2015) 2, No. 2 (2014) 2, No. 1 (2014) 1, No. 2 (2013) 1, No. 1 (2013)
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### Authors

 7 Steigmann, David J. 4 Allena, Rachele 4 Schiavone, Peter 4 Wang, Xu 3 Del Piero, Gianpietro 3 dell’Isola, Francesco 3 Giorgio, Ivan 3 Müller, Wolfgang H. 3 Ostoja-Starzewski, Martin 3 Pulvirenti, Mario 3 Rémond, Yves 3 Russo, Lucio 3 Šilhavý, Miroslav 2 Askes, Harm 2 Barchiesi, Emilio 2 Bersani, Alberto Maria 2 Briane, Marc 2 Challamel, Noël 2 Cluzel, Christophe 2 Darve, Félix 2 Epstein, Marcelo 2 Eugster, Simon R. 2 George, Daniel 2 Gouin, Henri 2 Grecchi, Vincenzo 2 Grimmett, Geoffrey R. 2 Harutyunyan, Davit 2 Hendrickson, Brett 2 Isola, Stefano 2 Lerbet, Jean 2 Luongo, Angelo 2 Mahnken, Rolf 2 Marigo, Jean-Jacques 2 Milton, Graeme Walter 2 Misra, Anil 2 Nicot, François 2 Placidi, Luca 2 Shirani, Milad 2 Simonella, Sergio 2 Templet, Gary J. 2 Van Goethem, Nicolas 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 Altenbach, Holm 1 Amar, Micol 1 Amiri-Hezaveh, Amirhossein 1 Andreaus, Ugo A. 1 Andrić, Marijan 1 Auffray, Nicolas 1 Avalishvili, Gia 1 Avalishvili, Mariam 1 Bakharev, Fedor L’vovich 1 Barone, Fiorella 1 Barroso, Ana Cristina 1 Bastaits, Renaud 1 Benedetto, Canio 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 Bocharov, Gennady A. 1 Borri, Alessandro 1 Bourzac, Céline 1 Boutin, Claude 1 Braides, Andrea 1 Browning, Florence 1 Campanino, Massimo 1 Capasso, Vincenzo 1 Carlen, Eric Anders 1 Carravetta, Francesco 1 Caylak, Ismail 1 Chiadò Piat, Valeria 1 Chinesta, Francisco 1 Colagrossi, Andrea 1 Conci, Aura 1 Craig, Katy 1 Cuomo, Massimo 1 D’Amato, Claudio 1 Dang, Thi Bach Tuyet 1 D’Annibale, Francesco 1 Daví, Fabrizio 1 de León Rodríguez, Manuel 1 Del Vescovo, Dionisio 1 Della Corte, Alessandro 1 Dell’Antonio, Gian Fausto 1 Desmorat, Boris 1 Di Giulio, Venanzio 1 Dmitriev, Aleksandr Alekseevich 1 Dolbeault, Jean ...and 115 more Authors
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### Fields

 73 Mechanics of deformable solids (74-XX) 23 Partial differential equations (35-XX) 13 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of particles and systems (70-XX) 12 Fluid mechanics (76-XX) 10 History and biography (01-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-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 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-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)

### Citations contained in zbMATH Open

80 Publications have been cited 364 times in 261 Documents Cited by Year
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca
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
2018
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
2015
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
2018
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
2014
Symmetry classes for even-order tensors. Zbl 1391.15089
Olive, Marc; Auffray, Nicolas
2013
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
2017
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
2015
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
2017
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
2015
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
2013
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2014
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
2014
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
2019
Gradient materials with internal constraints. Zbl 1333.74011
Bertram, Albrecht; Glüge, Rainer
2016
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
2018
Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052
Scala, Riccardo; Van Goethem, Nicolas
2016
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
2016
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
2017
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
2015
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
2014
The variational structure of classical plasticity. Zbl 1401.74052
Del Piero, Gianpietro
2018
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
On the approximation theorem for structured deformations from $$BV(\Omega)$$. Zbl 1309.74067
Šilhavý, Miroslav
2015
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
2014
The general form of the relaxation of a purely interfacial energy for structured deformations. Zbl 1447.49026
Šilhavý, Miroslav
2017
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
2016
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
2018
A variational formulation for fuzzy analysis in continuum mechanics. Zbl 1440.74269
Mahnken, Rolf
2017
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
2019
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
2019
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
2020
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
2016
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
2018
Explicit formulas for relaxed disarrangement densities arising from structured deformations. Zbl 1447.49019
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David
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
2017
Unified geometric formulation of material uniformity and evolution. Zbl 1333.74010
Epstein, Marcelo; de León, Manuel
2016
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
2016
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
2013
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
2020
Tumor growth modelling by cellular automata. Zbl 1378.74047
Interian, Ruben; Rodríguez-Ramos, Reinaldo; Valdés-Ravelo, Fernando; Ramírez-Torres, Ariel; Ribeiro, Celso; Conci, Aura
2017
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
2013
A mixed boundary value problem in potential theory for a bimaterial porous region: an application in the environmental geosciences. Zbl 1299.76267
2014
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
2014
The homogenized behavior of unidirectional fiber-reinforced composite materials in the case of debonded fibers. Zbl 1295.35040
Berrehili, Yahya; Marigo, Jean-Jacques
2014
Canonical duality theory and triality for solving general global optimization problems in complex systems. Zbl 1321.49055
Morales-Silva, Daniel; Gao, David
2015
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
2020
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
2016
Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations. Zbl 1453.74021
Allena, Rachele; Cluzel, Christophe
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
2018
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
2016
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
2016
Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals. Zbl 1334.74014
Wang, Xu; Schiavone, Peter
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2013
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
2016
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
2018
Self-organized stochastic tipping in slow-fast dynamical systems. Zbl 1302.37055
2013
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
2014
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
2015
Stability analysis of two coupled oscillators. Zbl 1369.70037
Guzev, Mickhail A.; Dmitriev, Alexandr A.
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
2016
Dislocation-induced linear-elastic strain dynamics by a Cahn-Hilliard-type equation. Zbl 1354.35149
Van Goethem, Nicolas
2016
Homogenization of nonlinear inextensible pantographic structures by $$\Gamma$$-convergence. Zbl 1456.74140
Alibert, Jean-Jacques; Della Corte, Alessandro
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
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.
2019
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
2020
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
2020
Modeling the linear dynamics of continuous viscoelastic systems on their infinite-dimensional central subspace. Zbl 1445.74012
Luongo, Angelo; D’Annibale, Francesco
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.
2020
From quantum to classical world: emergence of trajectories in a quantum system. Zbl 1356.81225
Figari, Rodolfo; Teta, Alessandro
2016
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
2016
A remark on eigenvalue perturbation theory at vanishing isolation distance. Zbl 1356.81134
Barone, Fiorella; Graffi, Sandro
2016
On linear non-local thermo-viscoelastic waves in fluids. Zbl 1421.35359
Goddard, Joe
2018
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
2017
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
2015
Ptolemy’s longitudes and Eratosthenes’ measurement of the Earth’s circumference. Zbl 1341.01006
Russo, Lucio
2013
Spatial and material stress tensors in continuum mechanics of growing solid bodies. Zbl 1381.74024
Ganghoffer, Jean-François
2015
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
2020
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
2020
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
2020
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
2020
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
2020
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
2020
Modeling the linear dynamics of continuous viscoelastic systems on their infinite-dimensional central subspace. Zbl 1445.74012
Luongo, Angelo; D&rsquo;Annibale, Francesco
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.
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
2020
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell&rsquo;Isola, Francesco; Steigmann, David J.
2019
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
2019
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
2019
Homogenization of nonlinear inextensible pantographic structures by $$\Gamma$$-convergence. Zbl 1456.74140
Alibert, Jean-Jacques; Della Corte, Alessandro
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
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.
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
2018
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
2018
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
2018
The variational structure of classical plasticity. Zbl 1401.74052
Del Piero, Gianpietro
2018
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
2018
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
2018
Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations. Zbl 1453.74021
Allena, Rachele; Cluzel, Christophe
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
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
2018
On linear non-local thermo-viscoelastic waves in fluids. Zbl 1421.35359
Goddard, Joe
2018
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell&rsquo;isola, Francesco; Giorgio, Ivan; Placidi, Luca
2017
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
2017
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
2017
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
2017
The general form of the relaxation of a purely interfacial energy for structured deformations. Zbl 1447.49026
Šilhavý, Miroslav
2017
A variational formulation for fuzzy analysis in continuum mechanics. Zbl 1440.74269
Mahnken, Rolf
2017
Explicit formulas for relaxed disarrangement densities arising from structured deformations. Zbl 1447.49019
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David
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
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
2017
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
2017
Gradient materials with internal constraints. Zbl 1333.74011
Bertram, Albrecht; Glüge, Rainer
2016
Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052
Scala, Riccardo; Van Goethem, Nicolas
2016
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
2016
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
2016
Unified geometric formulation of material uniformity and evolution. Zbl 1333.74010
Epstein, Marcelo; de León, Manuel
2016
Electromechanics of polarized lipid bilayers. Zbl 1333.74067
Steigmann, David; Agrawal, Ashutosh
2016
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
2016
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
2016
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
2016
Stability analysis of two coupled oscillators. Zbl 1369.70037
Guzev, Mickhail A.; Dmitriev, Alexandr A.
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
2016
Dislocation-induced linear-elastic strain dynamics by a Cahn-Hilliard-type equation. Zbl 1354.35149
Van Goethem, Nicolas
2016
From quantum to classical world: emergence of trajectories in a quantum system. Zbl 1356.81225
Figari, Rodolfo; Teta, Alessandro
2016
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
2016
A remark on eigenvalue perturbation theory at vanishing isolation distance. Zbl 1356.81134
Barone, Fiorella; Graffi, Sandro
2016
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
2015
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
2015
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
2015
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
On the approximation theorem for structured deformations from $$BV(\Omega)$$. Zbl 1309.74067
Šilhavý, Miroslav
2015
Canonical duality theory and triality for solving general global optimization problems in complex systems. Zbl 1321.49055
Morales-Silva, Daniel; Gao, David
2015
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
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
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
2015
Spatial and material stress tensors in continuum mechanics of growing solid bodies. Zbl 1381.74024
Ganghoffer, Jean-François
2015
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
2014
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2014
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
2014
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
2014
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
2014
A mixed boundary value problem in potential theory for a bimaterial porous region: an application in the environmental geosciences. Zbl 1299.76267
2014
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
2014
The homogenized behavior of unidirectional fiber-reinforced composite materials in the case of debonded fibers. Zbl 1295.35040
Berrehili, Yahya; Marigo, Jean-Jacques
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
2014
Symmetry classes for even-order tensors. Zbl 1391.15089
Olive, Marc; Auffray, Nicolas
2013
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
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
2013
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
2013
Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals. Zbl 1334.74014
Wang, Xu; Schiavone, Peter
2013
On the theory of diffusion and swelling in finitely deforming elastomers. Zbl 1381.74185
Templet, Gary J.; Steigmann, David J.
2013
Self-organized stochastic tipping in slow-fast dynamical systems. Zbl 1302.37055
2013
Ptolemy’s longitudes and Eratosthenes’ measurement of the Earth’s circumference. Zbl 1341.01006
Russo, Lucio
2013
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### Cited by 369 Authors

 15 Barchiesi, Emilio 14 dell’Isola, Francesco 14 Khludnev, Aleksandr Mikhaĭlovich 11 Placidi, Luca 10 Ostoja-Starzewski, Martin 9 Eremeyev, Victor A. 8 Giorgio, Ivan 8 Misra, Anil 8 Turco, Emilio 7 Cuomo, Massimo 7 Neff, Patrizio 6 Amar, Micol 5 Della Corte, Alessandro 5 Eugster, Simon R. 5 Ganghoffer, Jean-François 5 Gianni, Roberto 5 Owen, David R. 5 Seppecher, Pierre 5 Steigmann, David J. 5 Van Goethem, Nicolas 4 Abdoul-Anziz, Houssam 4 Braides, Andrea 4 Del Piero, Gianpietro 4 Greco, Leopoldo 4 Luongo, Angelo 4 Lurie, Sergey A. 4 Malyarenko, Anatoliy A. 3 Abali, Bilen Emek 3 Bersani, Alberto Maria 3 Boutin, Claude 3 Caylak, Ismail 3 Desmorat, Boris 3 Di Cosmo, Fabio 3 Epstein, Marcelo 3 Faella, Luisa 3 Ghiba, Ionel-Dumitrel 3 Khakalo, Sergei 3 Laudato, Marco 3 Madeo, Angela 3 Mahnken, Rolf 3 Marchioro, Carlo 3 Cardoso Matias, José Carlos Pedro 3 Morandotti, Marco 3 Penner, Eduard 3 Popova, Tatiana Semenovna 3 Rahali, Yosra 3 Scala, Riccardo 3 Shcherbakov, Viktor Viktorovich 3 Solci, Margherita 3 Solyaev, Yury O. 3 Yalçin, Sibel 3 Yildizdag, M. Erden 2 Aghalovyan, Lenser A. 2 Aifantis, Elias C. 2 Akinola, Ade P. 2 Alibert, Jean-Jacques 2 Altinkaya, Şahsene 2 Andreaus, Ugo A. 2 Andreucci, Daniele 2 Barroso, Ana Cristina 2 Battista, Antonio 2 Borokinni, Adebowale S. 2 Buttà, Paolo 2 Cavallaro, Guido 2 Cazzani, Antonio M. 2 Challamel, Noël 2 Chełmiński, Krzysztof 2 Ciallella, Alessandro 2 Contrafatto, Loredana 2 Craig, Katy 2 D’Annibale, Francesco 2 Darve, Félix 2 de León Rodríguez, Manuel 2 Dridger, Alex 2 Drobnicki, Rafał 2 Fadodun, O. O. 2 Federico, Salvatore 2 Ferretti, Manuel 2 Flandoli, Franco 2 Forest, Samuel 2 Ganzosch, Gregor 2 Gazzo, Salvatore 2 Gouin, Henri 2 Grillo, Alfio 2 Jiménez, Víctor Manuel 2 Konopińska-Zmysłowska, Violetta 2 Lakiss, Hassan 2 Layeni, Olawanle P. 2 Lerbet, Jean 2 Maurice, Gérard 2 Nejadsadeghi, Nima 2 Nesenenko, Sergiy 2 Nicot, François 2 Niiranen, Jarkko 2 Polizzotto, Castrenze 2 Poorsolhjouy, Payam 2 Porcu, Emilio 2 Pulvirenti, Mario 2 Rabczuk, Timon 2 Rizzi, Nicola Luigi ...and 269 more Authors
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### Cited in 82 Journals

 42 Mathematics and Mechanics of Solids 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Journal of Elasticity 13 Continuum Mechanics and Thermodynamics 12 Mathematics and Mechanics of Complex Systems 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of the Mechanics and Physics of Solids 6 Archive for Rational Mechanics and Analysis 6 European Journal of Mechanics. A. Solids 5 Acta Mechanica 5 International Journal of Engineering Science 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Journal of Statistical Physics 4 Applied Mathematical Modelling 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Wave Motion 2 Journal of Differential Equations 2 Computational Mechanics 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 Communications in Nonlinear Science and Numerical Simulation 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Discrete and Continuous Dynamical Systems. Series S 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 Journal of Geometry and 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 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 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 Mathematical Biosciences and Engineering 1 Proyecciones 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Journal of Geometric Mechanics 1 Evolution Equations and Control Theory 1 EMS Surveys in Mathematical Sciences 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
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### Cited in 37 Fields

 195 Mechanics of deformable solids (74-XX) 48 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Probability theory and stochastic processes (60-XX) 14 Biology and other natural sciences (92-XX) 12 Numerical analysis (65-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of particles and systems (70-XX) 8 Optics, electromagnetic theory (78-XX) 7 Differential geometry (53-XX) 5 Functions of a complex variable (30-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Number theory (11-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)