Component‐Based Model‐Order Reduction With Mortar Tied Contact for Nonlinear Quasi‐Static Mechanical Problems

International Journal for Numerical Methods in Engineering, vol. 126

Abstract

ABSTRACT In this work, we present a model‐order reduction technique for nonlinear structures assembled from components. The reduced‐ order model is constructed by reducing the substructures with proper orthogonal decomposition and connecting them by a mortar‐tied contact formulation. The substructure projection matrices are computed by the proper orthogonal decomposition (POD) method from snapshots computed on the substructure level. The snapshots are computed using Latin hypercube sampling based on a parametrization of the boundary conditions. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearities as well as non‐matching meshes. The method can predict solutions of new systems with varying boundary conditions and material behaviors.

Authors 4

1. Stephan Ritzert corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

2. Jannick Kehls Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

3. Stefanie Reese Aachen Institute of Applied Mechanics

   University of Siegen · RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   University of Siegen Siegen Germany

4. Tim Brepols Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany