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Variationally consistent coupling of non-matching discretizations for large deformation problems

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Abstract

Non-matching interfaces occur in large computational models of complicated structures when different discretizations are used in different regions of the problem domain. Presence of non-matching interfaces, for instance, between two or more finite element meshes of different refinement, or between a meshfree region and a finite element region, can lead to erroneous results. In this work, a variationally consistent coupling method is developed to ensure that such patch tests are passed for any choice of numerical integration over the interface. This is achieved by constructing an integration constraint over the non-matching interface and by modifying the approximation basis functions for the adjacent discretizations in a way that guarantees passing the patch test. Numerical examples are presented to verify the formulation and study the performance of the proposed method.

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Acknowledgements

This research is based upon work supported in part by the National Science Foundation under Grant Numbers 0547670, 1031123, and in part by U.S. Department of Energy X-stack program under Grant No. DE-FC02-12ER26104.

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Authors and Affiliations

  1. Lyles School of Civil Engineering, Purdue University, West Lafayette, IN, USA

    Xiaowo Wang & Arun Prakash

  2. Department of Structural Engineering, University of California, San Diego, CA, USA

    Jiun-Shyan Chen

  3. Department of Civil and Environmental Engineering, University of California, Los Angeles, CA, USA

    Ertugrul Taciroglu

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  1. Xiaowo Wang
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  2. Arun Prakash
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  3. Jiun-Shyan Chen
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  4. Ertugrul Taciroglu
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Correspondence to Arun Prakash.

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Wang, X., Prakash, A., Chen, JS. et al. Variationally consistent coupling of non-matching discretizations for large deformation problems. Comput Mech 60, 465–478 (2017). https://doi.org/10.1007/s00466-017-1417-0

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