Work

Measure-Valued Structured Deformations

Year: 2024

Type: article

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.

Source: Journal of Nonlinear Science

DOI: 10.1007/s00332-024-10076-w

Authors: Stefan Krömer, Martin Kružík, Marco Morandotti, Elvira Zappale

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Information Theory and Automation, Politecnico di Torino, Sapienza University of Rome

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090