Measure structured deformations

Bibliographic Details
Title: Measure structured deformations
Authors: Krömer, stefan, Kružík, Martin, Morandotti, Marco, Zappale, Elvira
Publication Year: 2024
Collection: Mathematics
Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Optimization and Control, 49Q20, 49J45, 74B20, 28A33
More Details: 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.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2402.14790
Accession Number: edsarx.2402.14790
Database: arXiv
More Details
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