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Journal Article

Measure-Valued Structured Deformations

Krömer Stefan, Kružík Martin, Morandotti M., Zappale E.

: Journal of Nonlinear Science vol.34,

: Structured deformations, Energy minimization, Relaxation

: 10.1007/s00332-024-10076-w

: http://library.utia.cas.cz/separaty/2024/MTR/kruzik-0598394.pdf

(eng): 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\nclassical 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.

: BA

: 10102