DOI QR코드

DOI QR Code

Formulation of a Singular Finite Element and Its Application

특이 유한요소의 구성과 응용

Kim, Myung-Sik;Lim, Jang-Keun
김명식;임장근

  • Published : 1999.06.01

Abstract

For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

Keywords

Singular Finite Element;Trefftz Function;Hybrid Variational Principle;Conformal Mapping