Second-order structured deformations: relaxation, integral representation and applications
AC Barroso, J Matias, M Morandotti… - Archive for Rational …, 2017 - Springer
Second-order structured deformations of continua provide an extension of the multiscale
geometry of first-order structured deformations by taking into account the effects of …
geometry of first-order structured deformations by taking into account the effects of …
Dimension reduction in the context of structured deformations
In this paper we apply both the procedure of dimension reduction and the incorporation of
structured deformations to a three-dimensional continuum in the form of a thinning domain …
structured deformations to a three-dimensional continuum in the form of a thinning domain …
Explicit formulas for relaxed disarrangement densities arising from structured deformations
In this paper we derive explicit formulas for disarrangement densities of submacroscopic
separations, switches, and interpenetrations in the context of first-order structured …
separations, switches, and interpenetrations in the context of first-order structured …
A relaxation result in the framework of structured deformations in a bounded variation setting
We obtain an integral representation of an energy for structured deformations of continua in
the space of functions of bounded variation, as a first step to the study of asymptotic models …
the space of functions of bounded variation, as a first step to the study of asymptotic models …
[PDF][PDF] A relaxation result in the framework of structured deformations
M Baıa, J Matias, PM Santos - 2010 - academia.edu
Structured deformations are non-classical deformations of continua suitable for the
description of materials whose kinematics requires analysis at both the macroscopic and …
description of materials whose kinematics requires analysis at both the macroscopic and …
Mathematical Preliminaries
We collect in this Chapter the basic notions regarding measure theory (Sect. 2.1), functions
spaces (Sect. 2.2), and the notions of Γ-convergence and relaxation (Sect. 2.3), as well as …
spaces (Sect. 2.2), and the notions of Γ-convergence and relaxation (Sect. 2.3), as well as …
[PDF][PDF] An Ill Posed Problem in SBV 2 0 (Ω)
AC Barroso, J Matias - Journal of Convex Analysis, 2010 - heldermann-verlag.de
An Ill Posed Problem in SBV (Ω) Page 1 Journal of Convex Analysis Volume 17 (2010), No. 2,
357–380 An Ill Posed Problem in SBV 2 0 (Ω) Ana Cristina Barroso∗ CMAF, Universidade de …
357–380 An Ill Posed Problem in SBV 2 0 (Ω) Ana Cristina Barroso∗ CMAF, Universidade de …