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19982023
most citedDensity of polyhedral partitions

23 citations · 23 across the 11 of their papers we have counts for

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Showing 2020 · math.APShow all

6 papers · 2 filters

math.AP2020

-Quasiconvexity and Partial Regularity

Sergio Conti, Franz Gmeineder

We establish the first partial regularity result for local minima of strongly -quasiconvex integrals in the case where the differential operator possesse…

math.AP2020

Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result

Sergio Conti, Adriana Garroni

In this note we show that a sharp rigidity estimate and a sharp Korn's inequality for matrix-valued fields whose incompatibility is a bounded measure can be obtained as a consequen…

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

Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models

Marco Bonacini, Sergio Conti, Flaviana Iurlano

In this paper we propose a notion of irreversibility for the evolution of cracks in presence of cohesive forces, which allows for different responses in the loading and unloading p…

math.AP2020

Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys

Sergio Conti, Johannes Diermeier, David Melching +1

We consider a singularly-perturbed two-well problem in the context of planar geometrically linear elasticity to model a rectangular martensitic nucleus in an austenitic matrix. We…

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…