A Global Method for Relaxation for Multi-levelled Structured Deformations
Ana Cristina Barroso, Jos\'e Matias, Elvira Zappale
TL;DR
This paper introduces a global relaxation method for variational functionals in hierarchical structured deformations, providing an integral representation and applications to specific relaxation problems.
Contribution
It presents a novel global relaxation approach for multi-level structured deformations, extending the theoretical framework and offering practical applications.
Findings
Established an integral representation for a class of variational functionals.
Developed a global relaxation method applicable to hierarchical systems.
Provided applications demonstrating the method's effectiveness.
Abstract
We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method for relaxation. Some applications to specific relaxation problems are also provided.
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Taxonomy
TopicsContact Mechanics and Variational Inequalities · Advanced Numerical Methods in Computational Mathematics · Elasticity and Material Modeling