Second-order structured deformations: relaxation, integral representation and applications
Optimization and Control
2017-05-24 v1
Abstract
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 submacroscopic bending and curving. We derive here an integral representation for a relaxed energy functional in the setting of second-order structured deformations. Our derivation covers inhomogeneous initial energy densities (i.e., with explicit dependence on the position); finally, we provide explicit formulas for bulk relaxed energies as well as anticipated applications.
Cite
@article{arxiv.1607.02311,
title = {Second-order structured deformations: relaxation, integral representation and applications},
author = {Ana Cristina Barroso and José Matias and Marco Morandotti and David R. Owen},
journal= {arXiv preprint arXiv:1607.02311},
year = {2017}
}
Comments
35 pages, Preprint SISSA: 37/MATE/2016