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 / Kromer, S.; Kruzik, M.; Morandotti, M.; Zappale, E.. - In: JOURNAL OF NONLINEAR SCIENCE. - ISSN 0938-8974. - 34:6(2024). [10.1007/s00332-024-10076-w]
Measure-valued structured deformations
Kromer S.;Zappale E.
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.| File | Dimensione | Formato | |
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Kromer_Measure_2024.pdf
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