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http://dx.doi.org/10.3795/KSME-A.2010.34.7.881

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

Lee, Jung-Ki (Dept. of Mechanical and Design Engineering, Hongik Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.34, no.7, 2010 , pp. 881-889 More about this Journal
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;
Citations & Related Records

Times Cited By SCOPUS : 2
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