On the dynamics of crystalline motions Y Giga, ME Gurtin, J Matias
Japan journal of industrial and applied mathematics 15, 7-50, 1998
53 1998 Lower semicontinuity and relaxation of signed functionals with linear growth in the context of A-quasiconvexity M Baía, M Chermisi, J Matias, PM Santos
Calc. Var. Partial Differential Equations 47 (3-4), 465-498, 2013
32 2013 Second-order structured deformations: relaxation, integral representation and applications AC Barroso, J Matias, M Morandotti, DR Owen
Archive for Rational Mechanics and Analysis 225, 1025-1072, 2017
19 2017 Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces ME Gurtin, J Matias
Quarterly of applied mathematics 53 (4), 761-782, 1995
19 1995 A relaxation result in the framework of structured deformations in a bounded variation setting M Baía, J Matias, PM Santos
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 142 (2 …, 2012
17 2012 Optimal design of fractured media with prescribed macroscopic strain J Matias, M Morandotti, E Zappale
Journal of Mathematical Analysis and Applications 449 (2), 1094-1132, 2017
16 2017 Explicit formulas for relaxed disarrangement densities arising from structured deformations AC Barroso, J Matias, M Morandotti, D Owen
Mathematics and Mechanics of Complex Systems 5 (2), 163-189, 2017
14 2017 Homogenization of Functionals with Linear Growth in the Context of -quasiconvexity J Matias, M Morandotti, PM Santos
Applied Mathematics & Optimization 72 (3), 523-547, 2015
14 2015 Dimension reduction in the context of structured deformations G Carita, J Matias, M Morandotti, DR Owen
Journal of Elasticity 133 (1), 1-35, 2018
13 2018 Differential inclusions for differential forms S Bandyopadhyay, AC Barroso, B Dacorogna, J Matias
Calculus of Variations and Partial Differential Equations 28 (4), 449-469, 2007
13 2007 A dimension reduction result in the framework of structured deformations J Matias, PM Santos
Applied Mathematics & Optimization 69, 459-485, 2014
11 2014 Characterization of generalized Young measures in the 𝒜-quasiconvexity context M Baia, J Matias, PM Santos
Indiana University Mathematics Journal, 487-521, 2013
11 2013 Differential inclusions in SBV0 (Ω) and applications to the Calculus of Variations J Matias
J. Convex Analysis 14 (3), 465-477, 2007
8 2007 A survey on structured deformations M Baía, J Matias, PM Santos
Sao Paulo Journal of Mathematical Sciences 5 (2), 185-201, 2011
7 2011 Necessary and sufficient conditions for existence of solutions of a variational problem involving the curl AC Barroso, J Matias
Discrete and Continuous Dynamical Systems 12 (1), 97-114, 2004
7 2004 Periodic homogenization in the context of structured deformations M Amar, J Matias, M Morandotti, E Zappale
Zeitschrift für angewandte Mathematik und Physik 73 (4), 173, 2022
6 2022 Upscaling and spatial localization of non-local energies with applications to crystal plasticity J Matias, M Morandotti, DR Owen, E Zappale
Mathematics and Mechanics of Solids 26 (7), 963-997, 2021
6 2021 Energetic Relaxation to Structured Deformations: A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics J Matias, M Morandotti, DR Owen
Springer Nature, 2023
5 2023 The variational modeling of hierarchical structured deformations AC Barroso, J Matias, M Morandotti, DR Owen, E Zappale
Journal of Elasticity, 1-22, 2022
5 2022 Coupled second order singular perturbations for phase transitions I Lizarraga, B Rink, M Wechselberger, J Eldering, M Kvalheim, S Revzen
Nonlinearity 26, 1271-1311, 2013
5 2013