The Variational Modeling of Hierarchical Structured Deformations

Author:

Barroso Ana CristinaORCID,Matias JoséORCID,Morandotti MarcoORCID,Owen David R.ORCID,Zappale ElviraORCID

Funder

FCT-Fundacao para a Ciencia e a Tecnologia

FCT/Portugal CAMGSD, IST-ID

MUIR Project, Dipartimenti di Eccellenza

Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference20 articles.

1. Alberti, G.: A Lusin type theorem for gradients. J. Funct. Anal. 100, 110–118 (1991)

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

3. Ambrosio, L.: Compactness for a special case of functions of bounded variation. Boll. Unione Mat. Ital. 3–B 7, 857–881 (1989)

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

5. Barroso, A.C., Bouchitté, G., Buttazzo, G., Fonseca, I.: Relaxation of bulk and interfacial energies. Arch. Ration. Mech. Anal. 135, 107–173 (1996)

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1. Measure-Valued Structured Deformations;Journal of Nonlinear Science;2024-09-03

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3. Energetic Relaxation to First-Order Structured Deformations;SpringerBriefs on PDEs and Data Science;2023

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