Analysis of Multi-Layered Structural Systems Using Nonlinear Finite Elements-Boundary Elements

반무한 다중 구조계의 비선형 유한요소 - 경계요소 해석

  • 김문겸 (연세대학교 공과대학 토목공학과) ;
  • 장정범 (연세대학교 대학원 토목공학과) ;
  • 이상도 (연세대학교 산업기술연구소) ;
  • 황학주 (연세대학교 공과대학 토목공학과)
  • Published : 1992.04.01

Abstract

It is usual that underground structures are constructed within multi-layered medium. In this paper, an efficient numerical model ling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity is dominated, and the boundary elements are applied to the far field area where the nonlinearity is relatively weak. In the boundary element model 1 ins of the multi-layered medium, fundamental solutions are restricted. Thus, methods which can utilize existing Kelvin and Melan solution are sought for the interior multi-layered domain problem and semi infinite domain problem. Interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution; by discretizing each homogeneous subregion and applying compatibility and equilibrium conditions between interfaces. Semi-infinite domain problem is analyzed using boundary elements with Melan solution, by superposing unit stiffness matrices which are obtained for each layer by enemy method. Each methodology is verified by comparing its results which the results from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient if the superposition technique is applied for the multi-layered semi-infinite domain problems.

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