On the integral representation of variational functionals on $BD$
Analysis of PDEs
2020-03-17 v2
Abstract
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with Bounded Deformation. Mild additional continuity assumptions are required on the functionals.
Cite
@article{arxiv.1907.11478,
title = {On the integral representation of variational functionals on $BD$},
author = {Marco Caroccia and Matteo Focardi and Nicolas Van Goethem},
journal= {arXiv preprint arXiv:1907.11478},
year = {2020}
}
Comments
The new version contains an entire new section where an homogenization Theorem for bulk energies in BD is proven