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 |
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 | 7 | 2022 |
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 |
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 |
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 | 6 | 2013 |
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 |