Abstract
AbstractMeasure-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.
Funder
INdAM-GNAMPA
Grantová Agentura České Republiky
PRIN2020
PRIN 2022
PRIN
Institute of Information Theory and Automation of the Czech Academy of Sciences
Publisher
Springer Science and Business Media LLC