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Implementation of the virtual element method for coupled thermo-elasticity in Abaqus

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Abstract

In this paper, we employ the virtual element method for the numerical solution of linear thermo-elastic problems in two dimensions. The framework is implemented within the commercial software Abaqus using its user element feature. The implementation details of the virtual element method in Abaqus-Matlab software framework are described. The corresponding details on the input data format, which forms the core of the analysis, are given. Both linear and quadratic elements are used within the virtual element framework. A few benchmark problems from linear thermo-elasticity are solved to validate the implementation.

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Acknowledgments

The second author would like to thank Prof. Lourenco Beirão da Veiga for the discussions on the VEM.

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Authors and Affiliations

  1. Integrated Modelling and Simulation Lab, Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India

    V. Dhanush & S. Natarajan

Authors
  1. V. Dhanush
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  2. S. Natarajan
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Corresponding author

Correspondence to S. Natarajan.

Appendix

Appendix

The developed routines are in the open-source and can be downloaded from

https://github.com/nsundar/VEM_in_Abaqus

along with the user element subroutines, Matlab-Abaqus interface to generate Abaqus input file.

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Dhanush, V., Natarajan, S. Implementation of the virtual element method for coupled thermo-elasticity in Abaqus. Numer Algor 80, 1037–1058 (2019). https://doi.org/10.1007/s11075-018-0516-0

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