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Scaled boundary finite element method with exact defining curves for two-dimensional linear multi-field media

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Abstract

This paper presents an efficient and accurate numerical technique based upon the scaled boundary finite element method for the analysis of two-dimensional, linear, second-order, boundary value problems with a domain completely described by a circular defining curve. The scaled boundary finite element formulation is established in a general framework allowing single-field and multi-field problems, bounded and unbounded bodies, distributed body source, and general boundary conditions to be treated in a unified fashion. The conventional polar coordinates together with a properly selected scaling center are utilized to achieve the exact description of the circular defining curve, exact geometry of the domain, and exact spatial differential operators. Standard finite element shape functions are employed in the discretization of both trial and test functions in the circumferential direction and the resulting eigenproblem is solved by a selected efficient algorithm. The computational performance of the implemented procedure is then fully investigated for various scenarios to demonstrate the accuracy in comparison with standard linear elements.

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Acknowledgements

The authors gratefully acknowledge the support provided by CU Scholarship for ASEAN Countries 2013 and Thailand Research Fund (Grant No. RSA5980032).

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Authors and Affiliations

  1. Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, 10330, Thailand

    Jaroon Rungamornrat & Chung Nguyen Van

  2. Faculty of Civil Engineering, Ho Chi Minh City of Technology and Education, Ho Chi Minh, 721400, Vietnam

    Chung Nguyen Van

Authors
  1. Jaroon Rungamornrat
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  2. Chung Nguyen Van
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Correspondence to Chung Nguyen Van.

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Rungamornrat, J., Van, C.N. Scaled boundary finite element method with exact defining curves for two-dimensional linear multi-field media. Front. Struct. Civ. Eng. 13, 201–214 (2019). https://doi.org/10.1007/s11709-018-0488-0

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  • DOI: https://doi.org/10.1007/s11709-018-0488-0

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