4 papers
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…
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…
Lower semicontinuity of nonlocal energies on
Jose Matias, Pedro M. Santos, Elvira Zappale
We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[{\rm ess}\!\!\!\!\!\!\!\!\sup_{(s,t) \in I\times I} h([u](s), [u](t)),\] where is an…
Junction in a thin multi-domain for nonsimple grade two materials in BH
Rita Ferreira, José Matias, Elvira Zappale
We consider a thin multi-domain of , with , consisting of a vertical rod upon a horizontal disk. In this thin multi-domain, we introduce a bulk energy density…