Work

Multi-Level Structured Deformations: Relaxation via a Global Method Approach

Year: 2025

Type: article

Abstract: We present some relaxation and integral representation results for energy functionals in the setting of structured deformations, with special emphasis given to the case of multi-level structured deformations. In particular, we present an integral representation result for an abstract class of variational functionals in this framework via a global method for relaxation and identify, under quite general assumptions, the corresponding relaxed energy densities through the study of a related local Dirichlet-type problem.Some applications to specific relaxation problems are also mentioned, showing that our global method approach recovers some previously established results.

Source: Communications in Mathematical Analysis and Applications

DOI: 10.4208/cmaa.2025-0010

Authors: Ana Cristina Barroso, José Matias, Elvira Zappale

Institutions: University of Lisbon, University of Évora, 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: bronze

OpenAlex ID: W4413229936

FWCI:

Cites:

Cited by:

Related to: 10