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Evaluation of Effective In-Plane Elastic Properties by Imposing Periodic Displacement Boundary Conditions

주기적 변형 경계조건을 적용한 면내 유효 탄성 물성치의 계산

  • 정일섭 (영남대학교 기계공학부)
  • Published : 2004.12.01

Abstract

Analysis for structures composed of materials containing regularly spaced in-homogeneities is usually executed by using averaged material properties. In order to evaluate the effective properties, a unit cell is defined and loaded somehow, and its response is investigated. The imposed loading, however, should accord to the status of unit cells immersed in the macroscopic structure to secure the accuracy of the properties. In this study, mathematical description for the periodicity of the displacement field is derived and its direct implementation into FE models of unit cell is attempted. Conventional finite element code needs no modification, and only the boundary of unit cell should be constrained in a way that the periodicity is preserved. The proposed method is applicable to skew arrayed in-homogeneity problems. Homogenized in-plane elastic properties are evaluated for a few representative cases and the accuracy is examined.

Keywords

FEM;Unit Cell;Periodic Displacement Boundary Condition;Effective Elastic Property;Skewed Array

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