Computational Model for Short-Fiber Composites With Eigen-Strain Formulation of Boundary Integral Equations

MA Hang; XIA Li-wei; QIN Qing-hua

Volume 29 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(6): 687-695

MA Hang, XIA Li-wei, QIN Qing-hua. Computational Model for Short-Fiber Composites With Eigen-Strain Formulation of Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2008, 29(6): 687-695.

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Computational Model for Short-Fiber Composites With Eigen-Strain Formulation of Boundary Integral Equations

1.
Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;

Received Date: 2007-07-25
Rev Recd Date: 2008-04-17
Publish Date: 2008-06-15

Abstract

Abstract

A computational model was proposed for shortfiber reinforced materials with the eigenstrain formulation of the boundary integral equations (BIE) and solved with the newly developed boundary point method (BPM). The model comes intimately from the concept of the equivalent inclusion of Eshelby with eigenstrains to be determined in an iterative way for each short-fiber embedded in the matrix with various properties via the Eshelby tensors, which can be readily obtained beforehand through either analytical or numerical means. As the unknowns appear only on the boundary of the solution domain, the solution scale of the inhomogeneity problem with the model is greatly reduced. This feature is considered to be significant because such a traditionally time-consuming problem with inhomogeneity can be solved most cost-effectively compared with the existing numerical models of the FEM or the BEM. The numerical examples are presented to compute the overall elastic properties for various short fiber reinforced composites over a representative volume element (RVE), showing the validity and the effectiveness of the proposed computational model and the solution procedure.
- short-fiber,
- equivalent inclusion,
- eigen-strain,
- Eshelby tensor,
- representative volume element,
- boundary integral equation,
- boundary point method

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References

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