Open AccessMixed Volume and Boundary Integral Equation Method with Elliptical Inclusions and a Circular/Elliptical Void
Author(s) -
Jung-Ki Lee,
Hye-Jeong Choi,
Youngbae Han
Publication year - 2013
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1155/2013/942073
Subject(s) - orthotropic material , isotropy , void (composites) , stress field , materials science , boundary value problem , integral equation , mechanics , geometry , anisotropy , mathematics , composite material , mathematical analysis , physics , optics , finite element method , thermodynamics
A mixed volume and boundary integral equation method (mixed VIEM-BIEM) is used to calculate the plane elastostatic field in an unbounded isotropic elastic medium containing multiple isotropic/orthotropic elliptical inclusions of arbitrary orientation and a circular/elliptical void subjected to remote loading. In order to investigate the influence of a circular/elliptical void on the interfacial stress field, a detailed analysis of the stress field at the interface between the matrix and the central isotropic/orthotropic inclusion is carried out for the square packing of eight inclusions and one void, taking into account different values for the orientation angles and concentration of the inclusions. The mixed method is shown to be very accurate and effective for investigating the local stresses in composites containing isotropic/anisotropic fibers and a circular/elliptical void