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Superposition-based coupling of peridynamics and finite element method

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Abstract

A superposition-based coupling of peridynamics (PD) and finite element method (FEM) for static and quasi-static problems is developed. The proposed coupling approach is based on partial superposition of nonlocal PD and local FEM solutions subjected to appropriate homogeneous boundary conditions that enforce solution continuity. The noteworthy features of the proposed PD–FEM superposition approach are: (1) it is free of blending parameters and (2) it preserves the standard computational structure of its two constituents, i.e., discrete weak form of the FEM and the strong form mesh-free style of PD. The performance of the proposed superposition approach is studied for several one- and two- dimensional problems.

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Acknowledgements

The first author thanks the Chinese Scholarship Council (CSC) (No. 201760210218) for providing the funding that enabled Wei Sun to visit Columbia University to do the work presented in this paper. The second author gratefully acknowledge the support from the Office of Naval Research under Grant N00014-17-1-2085.

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  1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China

    Wei Sun

  2. Civil Engineering and Engineering Mechanics, Columbia University, New York, NY, 10027, USA

    Jacob Fish

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  1. Wei Sun
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Correspondence to Jacob Fish.

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Sun, W., Fish, J. Superposition-based coupling of peridynamics and finite element method. Comput Mech 64, 231–248 (2019). https://doi.org/10.1007/s00466-019-01668-5

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