3 papers
math.AP2026
Structured Deformations in Linearized Elasticity
Manuel Friedrich, José Matias, Elvira Zappale
We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and sur…
math.CA2025
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deforma…
math.AP2025
Multi-level structured deformations: relaxation via a global method approach
A. C. Barroso, J. Matias, E. Zappale
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-le…