2 papers
math.FA2025
A well-posed variational approach to the identification and convergent approximation of material laws from boundary data
Sergio Conti, Michael Ortiz
We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is t…
math.AP2024
A discrete crystal model in three dimensions: the line-tension limit for dislocations
Sergio Conti, Adriana Garroni, Michael Ortiz
We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic intera…