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jose matias
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On the dynamics of crystalline motions
Y Giga, ME Gurtin, J Matias
Japan journal of industrial and applied mathematics 15, 7-50, 1998
531998
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
322013
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
192017
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
191995
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
172012
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
152017
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
142017
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
142015
Dimension reduction in the context of structured deformations
G Carita, J Matias, M Morandotti, DR Owen
Journal of Elasticity 133 (1), 1-35, 2018
132018
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
132007
A dimension reduction result in the framework of structured deformations
J Matias, PM Santos
Applied Mathematics & Optimization 69, 459-485, 2014
112014
Characterization of generalized Young measures in the 𝒜-quasiconvexity context
M Baia, J Matias, PM Santos
Indiana University Mathematics Journal, 487-521, 2013
112013
Differential inclusions in SBV0 (Ω) and applications to the Calculus of Variations
J Matias
J. Convex Analysis 14 (3), 465-477, 2007
82007
A survey on structured deformations
M Baía, J Matias, PM Santos
Sao Paulo Journal of Mathematical Sciences 5 (2), 185-201, 2011
72011
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
72004
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
62022
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
62021
Energetic Relaxation to Structured Deformations: A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics
J Matias, M Morandotti, DR Owen
Springer Nature, 2023
52023
The variational modeling of hierarchical structured deformations
AC Barroso, J Matias, M Morandotti, DR Owen, E Zappale
Journal of Elasticity, 1-22, 2022
52022
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
52013
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