Submitted Paper
Inserted: 22 feb 2024
Last Updated: 26 feb 2024
Year: 2024
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.
Keywords: relaxation, Integral representation, energy minimization, Structured deformations, functionals depending on measures
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