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Volume Integral Equation Method for Multiple Isotropic Inclusion Problems in an Infinite Solid Under Uniaxial Tension

인장 하중을 받는 무한 고체에 포함된 다수의 등방성 함유체 문제 해석을 위한 체적 적분방정식법

  • Lee, Jung-Ki (Dept. of Mechanical and Design Engineering, Hongik Univ.)
  • 이정기 (홍익대학교 기계정보공학과)
  • Received : 2010.02.08
  • Accepted : 2010.06.08
  • Published : 2010.07.01

Abstract

A volume integral equation method (VIEM) is introduced for solving the elastostatic problems related to an unbounded isotropic elastic solid; this solid is subjected to remote uniaxial tension, and it contains multiple interacting isotropic inclusions. The method is applied to two-dimensional problems involving long parallel cylindrical inclusions. A detailed analysis of the stress field at the interface between the matrix and the central inclusion is carried out; square and hexagonal packing of the inclusions are considered. The effects of the number of isotropic inclusions and different fiber volume fractions on the stress field at the interface between the matrix and the central inclusion are also investigated in detail. The accuracy and efficiency of the method are clarified by comparing the results obtained by analytical and finite element methods. The VIEM is shown to be very accurate and effective for investigating the local stresses in composites containing isotropic fibers.

Keywords

Volume Integral Equation Method;Boundary Integral Equation Method;Finite Element Method;Isotropic Inclusion;Infinite Solid;Composite Materials;Fiber Volume Fraction

Acknowledgement

Supported by : 홍익대학교

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Cited by

  1. Volume integral equation method for multiple isotropic inclusion problems in an infinite solid under tension or in-plane shear vol.24, pp.12, 2010, https://doi.org/10.1007/s12206-010-0917-z
  2. Volume Integral Equation Method for Problems Involving Multiple Diamond-Shaped Inclusions in an Infinite Solid under Uniaxial Tension vol.36, pp.1, 2012, https://doi.org/10.3795/KSME-A.2012.36.1.059