Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures

Mariya Ptashnyk
Multiscale Modeling & Simulation 13 (3) 1061 (2015)
DOI: 10.1137/140978405
See this article

Computational Fluid and Solid Mechanics 2003

A. Mourad, D. Caillerie and A. Raoult
Computational Fluid and Solid Mechanics 2003 1779 (2003)
DOI: 10.1016/B978-008044046-0.50434-6
See this article

Aerodynamic web forming: process simulation and material properties

Simone Gramsch, Axel Klar, Günter Leugering, et al.
Journal of Mathematics in Industry 6 (1) (2016)
DOI: 10.1186/s13362-016-0034-4
See this article

Two-Scale Convergence for Locally Periodic Microstructures and Homogenization of Plywood Structures

Mariya Ptashnyk
Multiscale Modeling & Simulation 11 (1) 92 (2013)
DOI: 10.1137/120862338
See this article

Microstructural scale effects in the nonlinear elastic response of bio-inspired wavy multilayers undergoing finite deformation

Hamed Khatam and Marek-Jerzy Pindera
Composites Part B: Engineering 43 (3) 869 (2012)
DOI: 10.1016/j.compositesb.2011.11.032
See this article

On the homogenization of a new class of locally periodic microstructures in linear elasticity with residual stress

Brian Seguin
Mathematics and Mechanics of Solids 108128651770131 (2017)
DOI: 10.1177/1081286517701312
See this article

Homogenization and optimal design of an elastic material reinforced by means of quasi-periodic fibres of higher rigidity

M. El Jarroudi and A. Brillard
Mathematical and Computer Modelling 47 (1-2) 27 (2008)
DOI: 10.1016/j.mcm.2007.02.004
See this article

Effective properties of multiphase composites made of elastic materials with hierarchical structure

Dimitrios Tsalis, Nicolas Charalambakis, Kevin Bonnay and George Chatzigeorgiou
Mathematics and Mechanics of Solids 22 (4) 751 (2017)
DOI: 10.1177/1081286515612142
See this article

Multiscale Modelling and Analysis of Signalling Processes in Tissues with Non-Periodic Distribution of Cells

Mariya Ptashnyk
Vietnam Journal of Mathematics 45 (1-2) 295 (2017)
DOI: 10.1007/s10013-016-0232-9
See this article

Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary

José M. Arrieta and Manuel Villanueva-Pesqueira
SIAM Journal on Mathematical Analysis 48 (3) 1634 (2016)
DOI: 10.1137/15M101600X
See this article

Small amplitude homogenization applied to models of non-periodic fibrous materials

David Manceau
ESAIM: Mathematical Modelling and Numerical Analysis 41 (6) 1061 (2007)
DOI: 10.1051/m2an:2007050
See this article

Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium

Denis Caillerie, Ayman Mourad and Annie Raoult
ESAIM: Mathematical Modelling and Numerical Analysis 37 (4) 681 (2003)
DOI: 10.1051/m2an:2003054
See this article

Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model

Annabelle Collin and Sébastien Imperiale
Mathematical Models and Methods in Applied Sciences 28 (05) 979 (2018)
DOI: 10.1142/S0218202518500264
See this article

Multiscale Models of Metallic Particles in Nematic Liquid Crystals

Thomas P. Bennett, Giampaolo D'Alessandro and Keith R. Daly
SIAM Journal on Applied Mathematics 78 (2) 1228 (2018)
DOI: 10.1137/18M1163919
See this article

Homogenization of elliptic systems with stratified structure revisited

Yao Xu and Weisheng Niu
Communications in Partial Differential Equations 45 (7) 655 (2020)
DOI: 10.1080/03605302.2019.1709871
See this article

Efficient graph‐based tensile strength simulations of random fiber structures

Marc Harmening, Nicole Marheineke and Raimund Wegener
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2021)
DOI: 10.1002/zamm.202000287
See this article

Apprehending the effects of mechanical deformations in cardiac electrophysiology: A homogenization approach

Annabelle Collin, Sébastien Imperiale, Philippe Moireau, Jean-Frédéric Gerbeau and Dominique Chapelle
Mathematical Models and Methods in Applied Sciences 29 (13) 2377 (2019)
DOI: 10.1142/S0218202519500490
See this article

An approach for modeling non-ageing linear viscoelastic composites with general periodicity

O.L. Cruz-González, D. Guinovart-Sanjuán, R. Rodríguez-Ramos, J. Bravo-Castillero, R. Guinovart-Díaz, J. Merodio, R. Penta, José A. Otero, S. Dumont, F. Lebon and F.J. Sabina
Composite Structures 223 110927 (2019)
DOI: 10.1016/j.compstruct.2019.110927
See this article