250 citations · 1.2k across the 49 of their papers we have counts for
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Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
Sergio Conti, Adriana Garroni, Annalisa Massaccesi
In the modeling of dislocations one is lead naturally to energies concentrated on lines, where the integrand depends on the orientation and on the Burgers vector of the dislocation…
Phase field approximation of cohesive fracture models
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We obtain a cohesive fracture model as a -limit of scalar damage models in which the elastic coefficient is computed from the damage variable through a function of the…
On the theory of relaxation in nonlinear elasticity with constraints on the determinant
Sergio Conti, Georg Dolzmann
We consider vectorial variational problems in nonlinear elasticity of the form , where is continuous on matrices with positive determinant and diverges to in…
Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions
Sergio Conti, Georg Dolzmann
We consider a two-dimensional problem in nonlinear elasticity which corresponds to the cubic-to-tetragonal phase transformation. Our model is frame invariant and the energy density…
Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance
Allan Chan, Sergio Conti
Domain branching near the boundary appears in many singularly-perturbed models for microstructure in materials and was first demonstrated mathematically by Kohn and Müller for a sc…