Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems
<|reference_start|>Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems: 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.<|reference_end|>
@article{ritzert2024component,
    title={Component based model order reduction with mortar tied contact for
  nonlinear quasi-static mechanical problems},
    author={Stephan Ritzert, Jannick Kehls, Stefanie Reese and Tim Brepols},
    journal={arXiv preprint arXiv:2407.02072},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.02072},
    primaryClass={cs.CE}
}