Volume integral equation method for multiple circular and elliptical inclusion problems in antiplane elastostatics

A Volume Integral Equation Method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple isotropic and anisotropic circular/elliptical inclusions subject to remote antiplane shear. This method is applied to two-dimension...

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Veröffentlicht in:Composites. Part B, Engineering Jg. 43; H. 3; S. 1224 - 1243
Hauptverfasser: Lee, Jungki, Kim, Hye-Ran
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Kidlington Elsevier Ltd 01.04.2012
Elsevier
Schlagworte:
A. Fibres
Applied sciences
B. Anisotropy
C. Computational modelling
C. Numerical analysis
composite materials
Composites
elasticity (mechanics)
equations
Exact sciences and technology
Forms of application and semi-finished materials
Laminates
methodology
Physicochemistry of polymers
Polymer industry, paints, wood
Technology of polymers
Volume Integral Equation Method (VIEM)
C. Numerical analysis
A. Fibres
C. Computational modelling
Volume Integral Equation Method (VIEM)
B. Anisotropy
Polymer
Numerical simulation
Modeling
ISSN:1359-8368, 1879-1069
Online-Zugang:Volltext
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Zusammenfassung:A Volume Integral Equation Method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple isotropic and anisotropic circular/elliptical inclusions subject to remote antiplane shear. This 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 for square and hexagonal packing of isotropic and anisotropic inclusions. The effects of the number of isotropic and anisotropic inclusions and various fiber volume fractions on the stress field at the interface between the matrix and the central circular/elliptical inclusion are also investigated in detail. The accuracy of the method is validated by solving single isotropic and orthotropic circular/elliptical inclusion problems and multiple isotropic circular and elliptical inclusion problems for which solutions are available in the literature.
Bibliographie:http://dx.doi.org/10.1016/j.compositesb.2011.11.066
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ISSN:1359-8368
1879-1069
DOI:10.1016/j.compositesb.2011.11.066