128 citations · 171 across the 6 of their papers we have counts for
6 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…
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…
Model-Free Data-Driven Inference in Computational Mechanics
Erik Prume, Stefanie Reese, Michael Ortiz
We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due to intrinsic randomness in the material behavior. The behavior of such mate…
Model-free Data-Driven Inference
Sergio Conti, Franca Hoffmann, Michael Ortiz
We present a model-free data-driven inference method that enables inferences on system outcomes to be derived directly from empirical data without the need for intervening modeling…
Symmetric div-quasiconvexity and the relaxation of static problems
Sergio Conti, Stefan Müller, Michael Ortiz
We consider problems of static equilibrium in which the primary unknown is the stress field and the solutions maximize a complementary energy subject to equilibrium constraints. A…
Data driven problems in elasticity
Sergio Conti, Stefan Müller, Michael Ortiz
We consider a new class of problems in elasticity, referred to as Data-Driven problems, defined on the space of strain-stress field pairs, or phase space. The problem consists of m…