Scaled boundary finite element method with circular defining curve for geo-mechanics applications

Authors

  • Nguyen Van Chung Faculty of Civil Engineering, HCMC University of Technology and Education, No 1 Vo Van Ngan street, Thu Duc district, Ho Chi Minh city, Vietnam

DOI:

https://doi.org/10.31814/stce.nuce2019-13(3)-12

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 the 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. A general solution of the resulting system of linear, second-order, nonhomogeneous, ordinary differential equations is constructed via standard procedures and then used together with the boundary conditions to form a system of linear algebraic equations governing nodal degrees of freedom. The computational performance of the implemented procedure is then fully investigated for various scenarios within the context of geo-mechanics applications.

Keywords:

exact geometry; geo-mechanics; multi-field problems; SBFEM; scaled boundary coordinates.

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Published

2019-08-31

How to Cite

Chung, N. V. (2019). Scaled boundary finite element method with circular defining curve for geo-mechanics applications. Journal of Science and Technology in Civil Engineering (JSTCE) - HUCE, 13(3), 124–134. https://doi.org/10.31814/stce.nuce2019-13(3)-12

Issue

Vol. 13 No. 3 (2019)

Section

Research Papers

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