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19982022
most citedDensity of polyhedral partitions

23 citations · 23 across the 7 of their papers we have counts for

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11 papers · 1 filter

math.AP2022

Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy

Sergio Conti, Matteo Focardi, Flaviana Iurlano

We consider a family of vectorial models for cohesive fracture, which may incorporate -invariance. The deformation belongs to the space of generalized functions of…

math.AP2021

Variational Modeling of Paperboard Delamination Under Bending

Patrick Dondl, Sergio Conti, Julia Orlik

We develop and analyze a variational model for multi-ply (i.e., multi-layered) paperboard. The model consists of a number of elastic sheets of a given thickness, which -- at the ex…

math.AP202123 cited

Density of polyhedral partitions

Andrea Braides, Sergio Conti, Adriana Garroni

We prove the density of polyhedral partitions in the set of finite Caccioppoli partitions. Precisely, we consider a decomposition of a bounded Lipschitz set $Ω\subset\mathbb R^…

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…