Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

PAMM, vol. 23

Abstract

Abstract In general, the overall macroscopic material behavior of any structural component is directly dependent on its underlying microstructure. For metal components, the associated microstructure is given in terms of a polycrystal. To enable the simulation of the related microstructural and overall elasto‐viscoplastic material behavior, a two‐scale simulation approach can be used. In this context, we use a FE‐FFT‐based two‐scale method, which is an efficient alternative to the classical FE2 method for the simulation of periodic microstructures. In addition, we consider a thermomechanically coupled framework to account for both thermal and mechanical loads. Finally, we incorporate a model order reduction technique based on a coarsely discretized microstructure to develop an efficient two‐scale simulation technique. As a demonstration of the feasibility of the proposed simulation framework, a numerical example will be investigated.

Authors 5

1. Christian Gierden corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany

2. Annika Schmidt Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany

3. Johanna Waimann Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   Modeling and Simulation Techniques for Systems of Polycrystalline Materials RWTH Aachen University Aachen Germany

   Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany

   Modeling and Simulation Techniques for Systems of Polycrystalline Materials, RWTH Aachen University, Aachen, Germany

4. Bob Svendsen Aachen Material Mechanics

   Max-Planck-Institut für Nachhaltige Materialien · RWTH Aachen University

   Affiliation as printed

   Material Mechanics RWTH Aachen University Aachen Germany

   Microstructure Physics and Alloy Design Max‐Planck‐Institut für Eisenforschung GmbH Düsseldorf Germany

   Material Mechanics, RWTH Aachen University, Aachen, Germany

5. Stefanie Reese Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany