3 papers
math.AP2020
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model
Sergio Conti, Adriana Garroni, Stefan Muller
We derive strain-gradient plasticity from a nonlocal phase-field model of dislocations in a plane. Both a continuous energy with linear growth depending on a measure which characte…
math.AP2020
Data-Driven Finite Elasticity
Sergio Conti, Stefan Müller, Michael Ortiz
We extend to finite elasticity the Data-Driven formulation of geometrically linear elasticity presented in Conti, Müller, Ortiz, Arch.\ Ration.\ Mech.\ Anal.\ 229, 79-123, 2018. Th…
math.AP2019
Symmetric div-quasiconvexity and the relaxation of static problems
Sergio Conti, Stefan Müller, Michael Ortiz
We consider problems of static equilibrium in which the primary unknown is the stress field and the solutions maximize a complementary energy subject to equilibrium constraints. A…