4 papers
Microstructure evolution as a game
Michael Ortiz
We develop a whole-trajectory relaxation framework for dissipative evolutions with non-convex, state- and history-dependent kinetics. The framework arises naturally from a game-the…
Optimal history encoding for elastic-plastic hereditary laws: Sharp input and constitutive approximation
Michael Ortiz, Pablo Pedregal
We formulate rate-independent elastic-ideally-plastic response directly in hereditary form and study its approximation by finite history surrogates. At the material-point level, th…
Identification of optimal history variables and corresponding hereditary laws in linear viscoelasticity
Ignacio Romero, Michael Ortiz
We develop an operator-theoretic formulation of hereditary constitutive models and characterize optimal finite-rank internal-variable approximations in the sense of Kolmogorov -…
An optimal-transport finite-particle method for driven mass diffusion
Anna Pandolfi, Ignacio Romero, Michael Ortiz
We formulate a finite-particle method of mass transport that accounts for general mixed boundary conditions. The particle method couples a geometrically-exact treatment of advectio…