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Enhancing the scaled boundary finite element method with fundamental solutions
Conference paper

Enhancing the scaled boundary finite element method with fundamental solutions

T.H. Vu and A.J. Deeks
Emerging Trends: Keynote Lectures and Symposia - Proceedings of the 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Vol.1, pp.455-460
10th East Asia-Pacific Conference on Structural Engineering and Construction (EASEC 2010) (Bangkok, Thailand, 03/08/2006–05/08/2006)
2006

Abstract

This paper introduces a new technique for solving concentrated load problems using the scaled boundary finite element method. By employing fundamental solutions for the displacements and the stresses, the solution is computed as summation of a fundamental solution part and a regular part. The singularity of the solution is modelled exactly by the fundamental solution, and only the regular part, which enforces the boundary conditions of the domain onto the fundamental solution, needs to be approximated in the solution space of the basic scaled boundary finite element method. The example provided illustrates that the new approach is simple to implement and accurate for solving concentrated load problems using the scaled boundary finite element method.

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