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arXiv · 2402.14790

Measure structured deformations

stefan Krömer·Martin Kružík·Marco Morandotti·Elvira Zappale
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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.

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stefan Krömer, Martin Kružík, Marco Morandotti, Elvira Zappale. 2024-02-22. Measure structured deformations. https://arxiv.org/abs/2402.14790

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