activity
20092026
most citedData-Driven Finite Elasticity

67 citations · 81 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2026

Uniform approximation of almost isometric maps

Sergio Conti, Georg Dolzmann, Stefan Müller

This paper shows that an almost-isometric Sobolev map from a Lipschitz subset of an oriented manifold into another oriented manifold can be approximated by a map of class $…

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★ 67 cited

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★ 11 cited

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…

math.AP2009★ 3 cited

The div-curl lemma for sequences whose divergence and curl are compact in W^{-1,1}

Sergio Conti, Georg Dolzmann, Stefan Müller

It is shown that converges weakly to if $u_k\weakto u$ weakly in and $v_k\weakly v$ weakly in with , , under t…