Michael Ortiz

TL;DR: In this paper, a subdifferentiable global contact detection algorithm, the supporting separating hyperplane linear program (SSHLP), based on the signed distance between supporting hyperplanes of two convex sets, is used in the simulation of optimal control problems.

TL;DR: In this article, a micromechanical model of the hardening, rate-sensitivity and thermal softening of bcc crystals was developed to capture salient features of the behavior of Ta crystals such as: the dependence of the initial yield point on temperature and strain rate; the presence of a marked stage I of easy glide, specially at low temperatures and high strain rates; the sharp onset of stage II hardening and its tendency to shift towards lower strains, and eventually disappear, as the temperature increases or the strain rate decreases.

TL;DR: In this article , a non-cooperative Data-Driven game for solid mechanics is proposed, in which stress and strain players pursue different objectives, where the objective of the stress player is to minimize the discrepancy to a material data set, whereas the objective for the strain player is ensuring the admissibility of the mechanical state, in the sense of compatibility and equilibrium.

TL;DR: In this paper, a class of asynchronous variational integrators (AVI) for nonlinear elastodynamics is described, which is characterized by a number of distinguishing attributes; the algorithms permit the selection of independent time steps in each element, the local time steps need not bear an integral relation to each other, and the algorithms derive result from a discrete version of Hamilton's principle.