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math.AP2021
Homogenization of friction in a 2D linearly elastic contact problem
Patrick Ballard, Flaviana Iurlano
Contact problems with Coulomb friction in linear elasticity are notoriously difficult and their mathematical analysis is still largely incomplete. In this paper, a model problem wi…
math.AP2021
Shape optimization of light structures and the vanishing mass conjecture
Jean-Francois Babadjian, Flaviana Iurlano, Filip Rindler
This work proves rigorous results about the vanishing-mass limit of the classical problem to find a shape with minimal elastic compliance. Contrary to all previous results in the m…