Measure structured deformations
Analysis of PDEs
2024-02-23 v1 Optimization and Control
Abstract
Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via relaxation departing either from energies associated with classical deformations or from energies associated with structured deformations. A concise integral representation of the energy functional is provided both in the unconstrained case and under Dirichlet conditions on a part of the boundary.
Cite
@article{arxiv.2402.14790,
title = {Measure structured deformations},
author = {stefan Krömer and Martin Kružík and Marco Morandotti and Elvira Zappale},
journal= {arXiv preprint arXiv:2402.14790},
year = {2024}
}