Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems

Stephan Ritzert; Jannick Kehls; Stefanie Reese; Tim Brepols

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arXiv · 2407.02072

Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems

Stephan Ritzert·Jannick Kehls·Stefanie Reese·Tim Brepols

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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 snapshots for the substructure projection matrices are computed on the substructure level by the proper orthogonal decomposition (POD) method. The snapshots are computed using a random sampling procedure based on a parametrization of boundary conditions. To reduce the computational effort of the snapshot computation full-order simulations of the substructures are only computed when the error of the reduced solution is above a threshold. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearity as well as non-matching meshes. We are able to predict solutions of systems that we did not compute in our snapshots.

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Stephan Ritzert, Jannick Kehls, Stefanie Reese, Tim Brepols. 2024-07-02. Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems. https://arxiv.org/abs/2407.02072

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