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Parallel volume integral equation method for three-dimensional multiple inclusion problems

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Abstract

In this paper, the volume integral equation method (VIEM) is introduced for the analysis of multiple isotropic/anisotropic inclusions (or inhomogeneities) in an unbounded isotropic matrix. In order to introduce the VIEM as an accurate and efficient numerical method for the three-dimensional elastostatic inclusion (or inhomogeneity) problem, multiple isotropic/orthotropic spherical inclusions (or inhomogeneities) in an unbounded isotropic matrix under uniform remote tensile loading are investigated.

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Acknowledgments

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT, Republic of Korea (Grant No. 2015-R1A2A2A01004531) and the 2021 Hongik University Research Fund. The authors would also like to acknowledge the support of the National Supercomputing Center with supercomputing resources including technical support (No. KSC-2021-CRE-0456).

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Authors and Affiliations

  1. Department of Mechanical and Design Engineering, Hongik University, Sejong City, 30016, Korea

    Jungki Lee

  2. Korea Institute of Science and Technology Information, Daejeon City, 34141, Korea

    Oh-Kyoung Kwon

Authors
  1. Jungki Lee
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  2. Oh-Kyoung Kwon
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Correspondence to Jungki Lee.

Additional information

Jungki Lee is a Professor at Hongik University (Sejong Campus). He received a Ph.D. in Mechanical Engineering from the University of California, Los Angeles, USA. His research interests are computational mechanics of solids, nondestructive evaluation, and composite materials. He has been developing the volume integral equation method (VIEM) with Professor Mal at UCLA.

Oh-Kyoung Kwon is a Principle Researcher at Korea Institute Science and Technology and Information. He received a Ph.D. in Computer Science and Engineering from KAIST, Daejeon, Korea. His current research interests are optimization and paralleization of HPC applications on a large-scale system. In particular, he has experiences in parallization of scientific applications including simulation of turbulent flows, weather forecasting and cosmological hydrodynamics on top of KISTI supercomputers.

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Lee, J., Kwon, OK. Parallel volume integral equation method for three-dimensional multiple inclusion problems. J Mech Sci Technol 37, 239–259 (2023). https://doi.org/10.1007/s12206-022-1225-0

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  • DOI: https://doi.org/10.1007/s12206-022-1225-0

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