Measure-Valued Structured Deformations
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.
Authors
- Elvira Zappale (ORCID: https://orcid.org/0000-0001-7419-300X)
- Stefan Krömer (ORCID: https://orcid.org/0000-0003-2534-2149)
- Marco Morandotti (ORCID: https://orcid.org/0000-0003-3528-6152)
- Martin Kružík (ORCID: https://orcid.org/0000-0003-1558-5809)
Institutions
- Politecnico di Torino (IT)
- Czech Academy of Sciences, Institute of Information Theory and Automation (CZ)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Journal of Nonlinear Science
- Published
- 2024-09-03
- DOI
- https://doi.org/10.1007/s00332-024-10076-w
- Citations
- 3
- Primary Topic
- Elasticity and Material Modeling
- Type
- article
- Field-Weighted Citation Impact
- 0.55
Funders
- Grantová Agentura České Republiky