A data‐driven solver scheme for inelastic problems

PAMM, vol. 23

Abstract

Abstract We review the data‐driven computing paradigm for inelastic problems. We extend an efficient graph search algorithm for the data search by thermodynamic constraints and a rate independent history parametrization based on the mechanical work increment. In addition, we propose a strategy how to use commercial solvers in the framework. Finally, we demonstrate the proposed method with a numerical example featuring 2‐d continuum plasticity.

Authors 4

1. Erik Prume corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Mies-van-der-Rohe-Str. 1 52074 Aachen Germany

   Email: [email protected]

   Erik Prume

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

2. Laurent Stainier

   École Centrale de Nantes

   Affiliation as printed

   Institute of Civil and Mechanical Engineering Ecole Centrale Nantes 1 rue de la Noe 44321 Nantes France

   Institute of Civil and Mechanical Engineering, Ecole Centrale Nantes, 1 rue de la Noe, 44321 Nantes, France

3. M. Ortíz

   California Institute of Technology · University of Bonn · Hausdorff Center for Mathematics

   Affiliation as printed

   Division of Engineering and Applied Science California Institute of Technology 1200 E. California Blvd. Pasadena CA 91125 USA

   Hausdorff Center for Mathematics Universität Bonn Endenicher Allee 60 53115 Bonn Germany

   Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA, 91125 USA

4. Stefanie Reese Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Mies-van-der-Rohe-Str. 1 52074 Aachen Germany

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany