Eulerian elastoplasticity: Basic issues and recent results

An Eulerian projection method for quasi-static elastoplasticity

Awell-established numerical approach to solve the Navier–Stokes equations for incompressible žuids is Chorin’s projection method [1], whereby the žuid velocity is explicitly updated, and then an elliptic problem for the pressure is solved, which is used to orthogonally project the velocity eld to maintain the incompressibility constraint. In this paper, we develop a mathematical correspondence...

Stochastic analysis on configuration spaces: basic ideas and recent results

The purpose of this paper is to provide a both comprehensive and summarizing account on recent results about analysis and geometry on configuration spaces ΓX over Riemannian manifolds X. Particular emphasis is given to a complete description of the so–called “lifting– procedure”, Markov resp. strong resp. L1–uniqueness results, the non–conservative case, the interpretation of the constructed di...

A Conservative Eulerian Numerical Scheme for Elastoplasticity and Application to Plate Impact Problems

We present a numerical method for computing elasto-plastic ows in metals. The method uses a conservative Eulerian formulation of elasto-plasticity together with a higher-order Godunov nite diierence method combined with tracking of material boundaries. The Eulerian approach avoids the problem of mesh distortion caused by a Lagrangian remap, and can be easily extended to the computation of ows i...

New Results from Dissipative Diabatic Dynamics and Nuclear Elastoplasticity

Recent Results on Computational Issues in Supervisory Control

We present and discuss the implications of recent results by several researchers on computational issues in supervisory control of discrete event systems. The first issue discussed is the boundary between decidability and undecidability in centralized and decentralized control problems for systems modeled by finite-state automata and subject to regular language specifications. The second issue ...