A global method for relaxation for multi-levelled structured deformations-Reference-Cited by-同舟云学术

A global method for relaxation for multi-levelled structured deformations

Published:2024-04-13 Issue:4 Volume:31 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Barroso Ana Cristina,Matias José,Zappale Elvira

Abstract

AbstractWe 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.

Funder

Università degli Studi di Roma La Sapienza

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00030-024-00939-2.pdf

Reference24 articles.

1. Amar, M., Matias, J., Morandotti, M., Zappale, E.: Periodic homogenization in the context of structured deformations. Z. Angew. Math. Phys. 73–173 (2022)

2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Oxford University Press (2000)

3. Barroso, A.C., Matias, J., Morandotti, M., Owen, D.R.: Second-order structured deformations: relaxation, integral representation and applications. Arch. Rational Mech. Anal. 225(3), 1025–1072 (2017)

4. Barroso, A.C., Matias, J., Morandotti, M., Owen, D.R., Zappale, E.: The variational modeling of hierarchical structured deformations. J. Elast. (2022)

5. Barroso, A.C., Matias, J., Morandotti, M., Owen, D.R., Zappale, E.: in preparation

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