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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: Journal; Indexed cover-to-cover; This journal is available open access.
Documents Indexed: 182 Publications (since 2013)
References Indexed: 126 Publications with 4,172 References.
all top 5

Authors

7 Steigmann, David J.
6 Allena, Rachele
5 Barchiesi, Emilio
5 Giorgio, Ivan
5 Schiavone, Peter
5 Wang, Xu
4 Misra, Anil
4 Pulvirenti, Mario
4 Rémond, Yves
3 Askes, Harm
3 Auffray, Nicolas
3 Bersani, Alberto Maria
3 Challamel, Noël
3 Cluzel, Christophe
3 Del Piero, Gianpietro
3 dell’Isola, Francesco
3 Desmorat, Boris
3 Epstein, Marcelo
3 Eugster, Simon Raphael
3 Harutyunyan, Davit
3 Levin, Vladimir Anatol’evich
3 Mahnken, Rolf
3 Müller, Wolfgang H.
3 Olive, Marc
3 Ostoja-Starzewski, Martin
3 Placidi, Luca
3 Russo, Lucio
3 Šilhavý, Miroslav
3 Simonella, Sergio
3 Turco, Emilio
3 Vershinin, Anatoliĭ Viktorovich
2 Amar, Micol
2 Azzi, Perla
2 Benedetto, Dario
2 Berezovski, Arkadi
2 Bocharov, Gennady A.
2 Briane, Marc
2 Caglioti, Emanuele
2 Caylak, Ismail
2 Ciallella, Alessandro
2 Darve, Félix
2 Daví, Fabrizio
2 Desmorat, Rodrigue
2 Distefano, Salvatore
2 Fuschi, Paolo
2 George, Daniel
2 Gianni, Roberto
2 Gouin, Henri
2 Grecchi, Vincenzo
2 Grillo, Alfio
2 Grimmett, Geoffrey R.
2 Hendrickson, Brett
2 Isola, Stefano
2 Konovalov, Dmitriĭ Andreevich
2 Lerbet, Jean
2 Luongo, Angelo
2 Marigo, Jean-Jacques
2 Milton, Graeme Walter
2 Nicot, François
2 Penner, Eduard
2 Pisano, Aurora Angela
2 Polizzotto, Castrenze
2 Ruggiero, Matteo Luca
2 Salnikov, Vladimir
2 Shirani, Milad
2 Templet, Gary J.
2 Van Goethem, Nicolas
2 Volpert, Vitaly A.
2 Zingerman, Konstantin Moiseevich
1 Abdoul-Anziz, Houssam
1 Abisset-Chavanne, Emmanuelle
1 Agrawal, Ashutosh
1 Ahzi, Saïd
1 Aizikovich, Sergei M.
1 Alaluf, David
1 Alasfar, Reema H.
1 Aldowaji, Marwa
1 Aleandri, Michele
1 Alhasadi, Mawafag F.
1 Alibert, Jean-Jacques
1 Alipour, Amin
1 Altenbach, Holm
1 Altucci, Carlo
1 Amiri-Hezaveh, Amirhossein
1 Andreaus, Ugo A.
1 Andrić, Marijan
1 António, Carlos Conceição
1 Arruda, Mário R. T.
1 Astesiano, Davide
1 Augello, Riccardo
1 Avalishvili, Gia
1 Avalishvili, Mariam
1 Ayub, Afsheen
1 Bajardi, Francesco
1 Bakharev, Fedor L’vovich
1 Barone, Fiorella
1 Barroso, Ana Cristina
1 Barth, Nicolas
1 Bastaits, Renaud
1 Basti, Andrea
...and 242 more Authors
all top 5

Fields

105 Mechanics of deformable solids (74-XX)
34 Partial differential equations (35-XX)
24 Biology and other natural sciences (92-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 Mechanics of particles and systems (70-XX)
15 Probability theory and stochastic processes (60-XX)
14 Fluid mechanics (76-XX)
10 History and biography (01-XX)
9 Numerical analysis (65-XX)
8 Ordinary differential equations (34-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Differential geometry (53-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
6 Quantum theory (81-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 General and overarching topics; collections (00-XX)
4 Optics, electromagnetic theory (78-XX)
4 Systems theory; control (93-XX)
3 Group theory and generalizations (20-XX)
3 Functions of a complex variable (30-XX)
3 Convex and discrete geometry (52-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistics (62-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Computer science (68-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-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 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 712 times in 455 Documents Cited by Year
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
57
2018
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca
57
2017
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
41
2018
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
34
2015
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
30
2019
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
27
2014
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
24
2020
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
22
2019
Symmetry classes for even-order tensors. Zbl 1391.15089
Olive, Marc; Auffray, Nicolas
19
2013
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
19
2017
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
16
2018
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
14
2015
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
13
2017
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
12
2020
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.
10
2019
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
10
2019
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
10
2014
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
10
2018
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
Engelbrecht, Jüri; Berezovski, Arkadi
10
2015
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.
9
2020
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
9
2013
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
8
2016
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
8
2014
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
8
2014
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
7
2016
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
7
2020
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
A variational formulation for one-dimensional linear thermoviscoelasticity. Zbl 1503.74024
Giorgio, Ivan
6
2021
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
6
2017
The general form of the relaxation of a purely interfacial energy for structured deformations. Zbl 1447.49026
Šilhavý, Miroslav
6
2017
On the approximation theorem for structured deformations from \(BV(\Omega)\). Zbl 1309.74067
Šilhavý, Miroslav
6
2015
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
6
2020
Numerical analysis of nonlinear wave propagation in a pantographic sheet. Zbl 1504.74045
Eugster, Simon Raphael
5
2021
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
5
2014
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
5
2013
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
5
2018
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
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
5
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
5
2015
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
5
2014
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
5
2016
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
5
2016
Symmetry classes in piezoelectricity from second-order symmetries. Zbl 1508.74015
Olive, Marc; Auffray, Nicolas
4
2021
Tumor growth modelling by cellular automata. Zbl 1378.74047
Interian, Ruben; Rodríguez-Ramos, Reinaldo; Valdés-Ravelo, Fernando; Ramírez-Torres, Ariel; Ribeiro, Celso; Conci, Aura
4
2017
A variational formulation for fuzzy analysis in continuum mechanics. Zbl 1440.74269
Mahnken, Rolf
4
2017
Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations. Zbl 1453.74021
Allena, Rachele; Cluzel, Christophe
4
2018
Explicit formulas for relaxed disarrangement densities arising from structured deformations. Zbl 1447.49019
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David
4
2017
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
4
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
4
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
4
2016
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
3
2020
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
3
2020
Kinematically triggered nonlinear vibrations of Hencky-type pantographic sheets. Zbl 1503.74046
Turco, Emilio; Barchiesi, Emilio
3
2021
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
Generalized and graded geometry for mechanics: a comprehensive introduction. Zbl 1506.70016
Salnikov, Vladimir; Hamdouni, Aziz; Loziienko, Daria
3
2021
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
3
2018
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
3
2016
Second-order work criterion and divergence criterion: a full equivalence for kinematically constrained systems. Zbl 1473.70045
Lerbet, Jean; Challamel, Noël; Nicot, François; Darve, Felix
2
2020
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
2
2020
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
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
Homogenization of a \(2\)D two-component domain with an oscillating thick interface. Zbl 1505.35127
Donato, Patrizia; Pettersson, Klas
2
2022
Mean-field limit for particle systems with topological interactions. Zbl 1499.35585
Benedetto, Dario; Caglioti, Emanuele; Rossi, Stefano
2
2021
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
Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy. Zbl 1478.93586
Touahria, Messaoud; Bensalem, Naceurdine
2
2021
An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials. Zbl 07772349
Soize, Christian
2
2023
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
2
2015
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
2
2016
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
2
2016
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
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
Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates. Zbl 1428.74077
Browning, Florence; Askes, Harm
1
2019
Inhomogeneities in Boltzmann-SIR models. Zbl 1499.92002
Ciallella, Alessandro; Pulvirenti, Mario; Simonella, Sergio
1
2021
Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions. I. Zbl 1513.74047
Polizzotto, Castrenze; Fuschi, Paolo; Pisano, Aurora Angela
1
2022
Absolute and relative size effects within nonlocal strain gradient elastic beam models. II. Zbl 1513.74048
Polizzotto, Castrenze; Fuschi, Paolo; Pisano, Aurora Angela
1
2022
TV-min and greedy pursuit for constrained joint sparsity and application to inverse scattering. Zbl 1338.15040
Fannjiang, Albert
1
2013
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
Computational implementation of nonuniform orthotropic directions in the femoral diaphysis based on cortical bone microstructure to build a constitutive model. Zbl 1505.92016
Allena, Rachele; Cluzel, Christophe
1
2021
Corrector results for space-time homogenization of nonlinear diffusion. Zbl 1502.35010
Oka, Tomoyuki
1
2022
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
General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition. Zbl 1479.35114
Rahmoune, Abita
1
2021
On classical continuum mechanics, two-scale continua, and plasticity. Zbl 1456.74007
Del Piero, Gianpietro
1
2020
The effect of rotation on the flattening of celestial bodies: a journey through four centuries. Zbl 1395.85001
Müller, Wolfgang H.
1
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
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
1
2017
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
1
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
1
2015
An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials. Zbl 07772349
Soize, Christian
2
2023
Homogenization of a \(2\)D two-component domain with an oscillating thick interface. Zbl 1505.35127
Donato, Patrizia; Pettersson, Klas
2
2022
Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions. I. Zbl 1513.74047
Polizzotto, Castrenze; Fuschi, Paolo; Pisano, Aurora Angela
1
2022
Absolute and relative size effects within nonlocal strain gradient elastic beam models. II. Zbl 1513.74048
Polizzotto, Castrenze; Fuschi, Paolo; Pisano, Aurora Angela
1
2022
Corrector results for space-time homogenization of nonlinear diffusion. Zbl 1502.35010
Oka, Tomoyuki
1
2022
A variational formulation for one-dimensional linear thermoviscoelasticity. Zbl 1503.74024
Giorgio, Ivan
6
2021
Numerical analysis of nonlinear wave propagation in a pantographic sheet. Zbl 1504.74045
Eugster, Simon Raphael
5
2021
Symmetry classes in piezoelectricity from second-order symmetries. Zbl 1508.74015
Olive, Marc; Auffray, Nicolas
4
2021
Kinematically triggered nonlinear vibrations of Hencky-type pantographic sheets. Zbl 1503.74046
Turco, Emilio; Barchiesi, Emilio
3
2021
Generalized and graded geometry for mechanics: a comprehensive introduction. Zbl 1506.70016
Salnikov, Vladimir; Hamdouni, Aziz; Loziienko, Daria
3
2021
Mean-field limit for particle systems with topological interactions. Zbl 1499.35585
Benedetto, Dario; Caglioti, Emanuele; Rossi, Stefano
2
2021
Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy. Zbl 1478.93586
Touahria, Messaoud; Bensalem, Naceurdine
2
2021
Inhomogeneities in Boltzmann-SIR models. Zbl 1499.92002
Ciallella, Alessandro; Pulvirenti, Mario; Simonella, Sergio
1
2021
Computational implementation of nonuniform orthotropic directions in the femoral diaphysis based on cortical bone microstructure to build a constitutive model. Zbl 1505.92016
Allena, Rachele; Cluzel, Christophe
1
2021
General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition. Zbl 1479.35114
Rahmoune, Abita
1
2021
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory. Zbl 1445.74002
Germain, Paul
24
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
12
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.
9
2020
A kinetic model for epidemic spread. Zbl 1452.92040
Pulvirenti, Mario; Simonella, Sergio
7
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
6
2020
IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313
Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin
3
2020
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
3
2020
Second-order work criterion and divergence criterion: a full equivalence for kinematically constrained systems. Zbl 1473.70045
Lerbet, Jean; Challamel, Noël; Nicot, François; Darve, Felix
2
2020
Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. Zbl 1444.53021
Hendrickson, Brett; Shirani, Milad; Steigmann, David J.
2
2020
On the generalization of the Brewster law. Zbl 1447.78003
Davì, Fabrizio
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
On classical continuum mechanics, two-scale continua, and plasticity. Zbl 1456.74007
Del Piero, Gianpietro
1
2020
Continuum theory for mechanical metamaterials with a cubic lattice substructure. Zbl 1428.74004
Eugster, Simon R.; dell’Isola, Francesco; Steigmann, David J.
30
2019
Equilibrium paths of Hencky pantographic beams in a three-point bending problem. Zbl 1434.74076
Turco, Emilio; Barchiesi, Emilio
22
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.
10
2019
Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators. Zbl 1458.70004
Giorgio, Ivan; Del Vescovo, Dionisio
10
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
57
2018
Strain gradient and generalized continua obtained by homogenizing frame lattices. Zbl 1403.35028
Abdoul-Anziz, Houssam; Seppecher, Pierre
41
2018
A multiphysics stimulus for continuum mechanics bone remodeling. Zbl 1422.65295
George, Daniel; Allena, Rachele; Rémond, Yves
16
2018
Error estimate for a homogenization problem involving the Laplace-Beltrami operator. Zbl 1390.35358
Amar, Micol; Gianni, Roberto
10
2018
The variational structure of classical plasticity. Zbl 1401.74052
Del Piero, Gianpietro
7
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
5
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
On jets, almost symmetric tensors, and traction hyper-stresses. Zbl 1391.74009
Segev, Reuven; Śniatycki, Jędrzej
3
2018
The effect of rotation on the flattening of celestial bodies: a journey through four centuries. Zbl 1395.85001
Müller, Wolfgang H.
1
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
57
2017
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053
Milton, Graeme; Briane, Marc; Harutyunyan, Davit
19
2017
Forms of the dissipation function for a class of viscoplastic models. Zbl 1386.74007
Cuomo, Massimo
13
2017
On the notion of stress in classical continuum mechanics. Zbl 1386.70004
Eugster, Simon; Glocker, Christoph
6
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
Tumor growth modelling by cellular automata. Zbl 1378.74047
Interian, Ruben; Rodríguez-Ramos, Reinaldo; Valdés-Ravelo, Fernando; Ramírez-Torres, Ariel; Ribeiro, Celso; Conci, Aura
4
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
On the well-posedness of the Green-Lindsay model. Zbl 1366.74013
Avalishvili, Gia; Avalishvili, Mariam; Müller, Wolfgang
1
2017
Orthogonal polynomials and Riesz bases applied to the solution of Love’s equation. Zbl 1381.33019
Vellucci, Pierluigi; Bersani, Alberto
8
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
7
2016
Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052
Scala, Riccardo; Van Goethem, Nicolas
7
2016
Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003
Pulvirenti, Mario; Simonella, Sergio
5
2016
Modeling capillary hysteresis in unsatured porous media. Zbl 1375.35260
Gagneux, Gérard; Millet, Olivier
5
2016
On stochastic distributions and currents. Zbl 1369.28003
Capasso, Vincenzo; Flandoli, Franco
4
2016
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
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
Some results on the asymptotic behavior of finite connection probabilities in percolation. Zbl 1356.60162
Campanino, Massimo; Gianfelice, Michele
3
2016
What decides the direction of a current? Zbl 1357.82036
Maes, Christian
2
2016
A note on Gibbs and Markov random fields with constraints and their moments. Zbl 1376.60069
Gandolfi, Alberto; Lenarda, Pietro
2
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
A remark on eigenvalue perturbation theory at vanishing isolation distance. Zbl 1356.81134
Barone, Fiorella; Graffi, Sandro
1
2016
Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics. Zbl 1329.74225
Misra, Anil; Poorsolhjouy, Payam
34
2015
On the constitutive equations of viscoelastic micropolar plates and shells of differential type. Zbl 1327.74011
Altenbach, Holm; Eremeyev, Victor
14
2015
Reflections on mathematical models of deformation waves in elastic microstructured solids. Zbl 1309.74008
Engelbrecht, Jüri; Berezovski, Arkadi
10
2015
On the approximation theorem for structured deformations from \(BV(\Omega)\). Zbl 1309.74067
Šilhavý, Miroslav
6
2015
Effects of damping on the stability of the compressed Nicolai beam. Zbl 1309.74032
Luongo, Angelo; Ferretti, Manuel; Seyranian, Alexander
5
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
5
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
2
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
Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. Zbl 1317.74059
Pantz, Olivier; Trabelsi, Karim
1
2015
Comprehensive description of deformation of solids as wave dynamics. Zbl 1329.74147
Yoshida, Sanichiro
1
2015
Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163
Khludnev, Alexander M.; Leugering, Günter R.
27
2014
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
10
2014
Particles for fluids: SPH versus vortex methods. Zbl 1315.35144
Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario
8
2014
Nonclassical continua, pseudobalance, and the law of action and reaction. Zbl 1400.74007
Del Piero, Gianpietro
8
2014
Geometric degree of nonconservativity. Zbl 1362.70021
Lerbet, Jean; Aldowaji, Marwa; Challamel, Noël; Kirillov, Oleg N.; Nicot, François; Darve, Félix
5
2014
Interfaces endowed with nonconstant surface energies revisited with the d’Alembert-Lagrange principle. Zbl 1446.76139
Gouin, Henri
5
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
19
2013
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
9
2013
A direct approach to nonlinear shells with application to surface-substrate interactions. Zbl 1391.74145
Šilhavý, Miroslav
5
2013
Dislocations, imperfect interfaces and interface cracks in anisotropic elasticity for quasicrystals. Zbl 1334.74014
Wang, Xu; Schiavone, Peter
3
2013
...and 5 more Documents
all top 5

Cited by 605 Authors

30 Barchiesi, Emilio
26 dell’Isola, Francesco
20 Giorgio, Ivan
18 Placidi, Luca
18 Turco, Emilio
17 Khludnev, Aleksandr Mikhaĭlovich
16 Eremeyev, Victor A.
14 Ciallella, Alessandro
14 Misra, Anil
13 Ostoja-Starzewski, Martin
12 Abali, Bilen Emek
12 Spagnuolo, Mario
11 Bersani, Alberto Maria
9 Eugster, Simon Raphael
8 Amar, Micol
8 Cuomo, Massimo
8 Steigmann, David J.
8 Yildizdag, M. Erden
7 Ganghoffer, Jean-François
7 Neff, Patrizio
7 Owen, David Ross
7 Seppecher, Pierre
6 Cazzani, Antonio M.
6 Challamel, Noël
6 D’Annibale, Francesco
6 Darve, Félix
6 de León Rodríguez, Manuel
6 Del Piero, Gianpietro
6 Desmorat, Boris
6 Gianni, Roberto
6 Jiménez, Víctor Manuel
6 Lerbet, Jean
6 Luongo, Angelo
6 Nicot, François
5 Della Corte, Alessandro
5 Epstein, Marcelo
5 Greco, Leopoldo
5 Kolev, Boris
5 Malyarenko, Anatoliy A.
5 Olive, Marc
5 Scerrato, Daria
5 Timofeev, Dmitry
5 Van Goethem, Nicolas
4 Abdoul-Anziz, Houssam
4 Allena, Rachele
4 Altenbach, Holm
4 Braides, Andrea
4 Caylak, Ismail
4 La Valle, Gabriele
4 Laudato, Marco
4 Lurie, Sergey A.
4 Mahnken, Rolf
4 Cardoso Matias, José Carlos Pedro
4 Morandotti, Marco
4 Penner, Eduard
4 Polizzotto, Castrenze
4 Popova, Tatiana Semenovna
4 Pulvirenti, Mario
4 Rahali, Yosra
4 Scrofani, Angelo
4 Sessa, Salvatore
4 Shekarchizadeh, Navid
4 Solyaev, Yury O.
4 Yang, Hua
3 Alibert, Jean-Jacques
3 Amiri-Hezaveh, Amirhossein
3 Andreaus, Ugo A.
3 Andreucci, Daniele
3 Auffray, Nicolas
3 Battista, Antonio
3 Boutin, Claude
3 Desmorat, Rodrigue
3 Di Cosmo, Fabio
3 El Dhaba, Amr Ramadan
3 Faella, Luisa
3 Ferretti, Manuel
3 Flandoli, Franco
3 Ganzosch, Gregor
3 George, Daniel
3 Ghiba, Ionel-Dumitrel
3 Glüge, Rainer
3 Gouin, Henri
3 Grillo, Alfio
3 Hild, François
3 Khakalo, Sergei
3 Lakiss, Hassan
3 Madeo, Angela
3 Marchioro, Carlo
3 Müller, Wolfgang H.
3 Nazarenko, Lidiia
3 Nejadsadeghi, Nima
3 Niiranen, Jarkko
3 Paradiso, Massimo
3 Pareschi, Lorenzo
3 Porcu, Emilio
3 Rémond, Yves
3 Rizzi, Nicola Luigi
3 Rosati, Luciano
3 Scala, Riccardo
3 Shcherbakov, Viktor Viktorovich
...and 505 more Authors
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Cited in 106 Journals

80 Mathematics and Mechanics of Solids
35 Mathematics and Mechanics of Complex Systems
31 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 Continuum Mechanics and Thermodynamics
22 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
15 Journal of Elasticity
13 Computer Methods in Applied Mechanics and Engineering
11 Acta Mechanica
11 European Journal of Mechanics. A. Solids
7 Archive for Rational Mechanics and Analysis
7 International Journal of Engineering Science
7 Journal of the Mechanics and Physics of Solids
6 Journal of Statistical Physics
5 Mathematical Methods in the Applied Sciences
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Wave Motion
4 Journal of Computational and Applied Mathematics
4 Meccanica
4 Applied Mathematical Modelling
3 Computers & Mathematics with Applications
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Journal of Geometry and Physics
3 Journal of Differential Equations
3 Computational Mechanics
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Computational Mathematics and Mathematical Physics
3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 European Journal of Physics
2 Ricerche di Matematica
2 Physica D
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Archive of Applied Mechanics
2 Journal of Nonlinear Science
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Communications in Nonlinear Science and Numerical Simulation
2 Mathematical Biosciences and Engineering
2 Networks and Heterogeneous Media
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Geometric Mechanics
1 Applicable Analysis
1 Archive for History of Exact Sciences
1 Archives of Mechanics
1 Computer Physics Communications
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Physica A
1 Reviews in Mathematical Physics
1 Applied Mathematics and Computation
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Optimization Theory and Applications
1 Programming and Computer Software
1 Acta Applicandae Mathematicae
1 Journal of the Nigerian Mathematical Society
1 Applied Numerical Mathematics
1 Optimization
1 Journal of Theoretical Probability
1 Asymptotic Analysis
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 SIAM Review
1 Vestnik St. Petersburg University. Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Theory of Probability and Mathematical Statistics
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
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 Multiscale Modeling & Simulation
1 Journal of Statistical Mechanics: Theory and Experiment
1 The Australian Journal of Mathematical Analysis and Applications
1 Foundations of Physics
1 Waves in Random and Complex Media
1 Proyecciones
1 Journal of Physics A: Mathematical and Theoretical
1 Kinetic and Related Models
1 Analysis & PDE
1 International Journal of Differential Equations
1 Probability Surveys
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
...and 6 more Journals
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Cited in 43 Fields

345 Mechanics of deformable solids (74-XX)
75 Partial differential equations (35-XX)
31 Fluid mechanics (76-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
26 Statistical mechanics, structure of matter (82-XX)
25 Biology and other natural sciences (92-XX)
22 Numerical analysis (65-XX)
20 Mechanics of particles and systems (70-XX)
19 Probability theory and stochastic processes (60-XX)
13 Differential geometry (53-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Ordinary differential equations (34-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Optics, electromagnetic theory (78-XX)
8 History and biography (01-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Functions of a complex variable (30-XX)
6 Operator theory (47-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
4 Operations research, mathematical programming (90-XX)
4 Systems theory; control (93-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
3 Relativity and gravitational theory (83-XX)
2 Combinatorics (05-XX)
2 Group theory and generalizations (20-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Geophysics (86-XX)
1 Algebraic geometry (14-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 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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