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Rigorous analysis of shape transitions in frustrated elastic ribbons
Cy Maor, Maria Giovanna Mora
Ribbons are elastic bodies of thickness and width with (after appropriate nondimensionalization). Many ribbons in nature have a non-trivial internal geometry,…
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
Jean-François Babadjian, Alessandro Giacomini, Maria Giovanna Mora
This work addresses the question of regularity of solutions to evolutionary (quasi-static and dynamic) perfect plasticity models. Under the assumption that the elasticity set is a…
Liquid Filled Elastomers: From Linearization to Elastic Enhancement
Juan Casado Dìaz, Gilles A. Francfort, Oscar Lopez-Pamies +1
Surface tension at cavity walls can play havoc with the mechanical properties of perforated soft solids when the cavities are filled with a fluid. This study is an investigation of…
Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density
Elisa Davoli, Maria Giovanna Mora
The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends t…