Measure-valued structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure-valued 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.

Measure-Valued Structured Deformations / Krömer, Stefan; Kružík, Martin; Morandotti, Marco; Zappale, Elvira. - In: JOURNAL OF NONLINEAR SCIENCE. - ISSN 0938-8974. - 34:6(2024), pp. 1-33. [10.1007/s00332-024-10076-w]

Measure-Valued Structured Deformations

Morandotti, Marco;Zappale, Elvira
2024

Abstract

Measure-valued structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure-valued 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2992747