Structured Deformations in Linearized Elasticity

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Manuel Friedrich, José Matías, Elvira Zappale
DOI: 10.48550/arxiv.2601.11333
Cited by: 0

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.

Fields of Study & Subjects

Nonlocal and gradient elasticity in micro/nano structures Elasticity and Wave Propagation Elasticity and Material Modeling

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 January 2026
Document type
Preprint