Stress analysis of multiple anisotropic elliptical inclusions in composites

A volume integral equation method is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple anisotropic elliptical inclusions subject to uniform remote tension or remote in-plane shear. This method is applied to two-dimensional pr...

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Published inComposite interfaces Vol. 19; no. 2; pp. 93 - 119
Main Author Lee, Jungki
Format Journal Article
LanguageEnglish
Published Routledge 01.03.2012
Subjects
anisotropic inclusions
boundary element method
finite element method
inclusion volume fraction
multiple elliptical inclusions
volume integral equation method
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ISSN0927-6440
1568-5543
DOI10.1080/15685543.2012.699381

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Abstract A volume integral equation method is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple anisotropic elliptical inclusions subject to uniform remote tension or remote in-plane shear. This method is applied to two-dimensional problems involving long parallel elliptical cylindrical inclusions. A detailed analysis of the stress field at the interface between the matrix and the central elliptical inclusion is carried out for square and hexagonal packing of anisotropic inclusions. The effects of the number of anisotropic inclusions and various inclusion volume fractions on the stress field at the interface between the isotropic matrix and the central elliptical cylindrical inclusion are investigated in detail. The stress field at the interface between the isotropic matrix and the central elliptical inclusion is also compared with that between the isotropic matrix and the central circular inclusion.
AbstractList A volume integral equation method is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple anisotropic elliptical inclusions subject to uniform remote tension or remote in-plane shear. This method is applied to two-dimensional problems involving long parallel elliptical cylindrical inclusions. A detailed analysis of the stress field at the interface between the matrix and the central elliptical inclusion is carried out for square and hexagonal packing of anisotropic inclusions. The effects of the number of anisotropic inclusions and various inclusion volume fractions on the stress field at the interface between the isotropic matrix and the central elliptical cylindrical inclusion are investigated in detail. The stress field at the interface between the isotropic matrix and the central elliptical inclusion is also compared with that between the isotropic matrix and the central circular inclusion.
Author Lee, Jungki
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Snippet A volume integral equation method is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting...
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SubjectTerms anisotropic inclusions
boundary element method
finite element method
inclusion volume fraction
multiple elliptical inclusions
volume integral equation method
Title Stress analysis of multiple anisotropic elliptical inclusions in composites
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Volume 19
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