Structured Deformations in Linearized Elasticity
Analysis of PDEs
2026-01-19 v1 Functional Analysis
Optimization and Control
Abstract
We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a direct approach by means of a global method for relaxation in BD and via an approximation from nonlinear elastic energies associated to {nonsimple} materials.
Cite
@article{arxiv.2601.11333,
title = {Structured Deformations in Linearized Elasticity},
author = {Manuel Friedrich and José Matias and Elvira Zappale},
journal= {arXiv preprint arXiv:2601.11333},
year = {2026}
}