250 citations · 1.2k across the 49 of their papers we have counts for
60 papers
Data-Driven Games in Computational Mechanics
Kerstin Weinberg, Laurent Strainier, Sergio Conti +1
We resort to game theory in order to formulate Data-Driven methods for solid mechanics in which stress and strain players pursue different objectives. The objective of the stress p…
Functions with bounded Hessian-Schatten variation: density, variational and extremality properties
Luigi Ambrosio, Camillo Brena, Sergio Conti
In this paper we analyze in detail a few questions related to the theory of functions with bounded -Hessian-Schatten total variation, which are relevant in connection with the t…
Convergence rates for ansatz-free data-driven inference in physically constrained problems
Sergio Conti, Franca Hoffmann, Michael Ortiz
We study a Data-Driven approach to inference in physical systems in a measure-theoretic framework. The systems under consideration are characterized by two measures defined over th…
Line-tension limits for line singularities and application to the mixed-growth case
Sergio Conti, Adriana Garroni, Roberta Marziani
We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth…
An energy minimization approach to twinning with variable volume fraction
Sergio Conti, Robert Kohn, Oleksandr Misiats
In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example…
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…