TY - GEN
T1 - Computational modal and solution procedure for inhomogeneous materials with Eigen-Strain formulation of boundary integral equations
AU - Ma, Hang
AU - Qin, Qing Hua
AU - Kompiš, Vladimir
N1 - Publisher Copyright:
© Springer Science +Business Media B.V., 2008.
PY - 2008
Y1 - 2008
N2 - In the present study a novel computational modal and solution procedure are proposed for inhomogeneous materials with the eigenstrain formulation of the boundary integral equations. The model and the solution procedure are both resulted intimately from the concepts of the equivalent inclusion of Eshelby with eigenstrains to be determined in an iterative way for each inhomogeneity embedded in the matrix with various shapes and material properties via the Eshelby tensors, which can be readily obtained beforehand through either analytical or numerical means. As unknowns appeared in the final equation system are on the boundary of the solution domain only, the solution scale of the inhomogeneity problem with the present model is greatly reduced. This feature is considered to be significant because such a traditionally time-consuming problem with inhomogeneities can be solved most cost-effectively with the present procedure in comparison with the existing numerical models such as finite element method (FEM) and boundary element method (BEM). Besides, to illustrate computational efficiency of the proposed model, results of overall elastic properties are presented by means of the present eigenstrain model and the newly developed boundary point method for particle reinforced inhomogeneous materials over a representative volume element. The influences of scatted inhomogeneities with a variety of properties and shapes and orientations on the overall properties of composites are computed and the results are compared with those from other methods, showing the validity and the effectiveness of the proposed computational modal and the solution procedure.
AB - In the present study a novel computational modal and solution procedure are proposed for inhomogeneous materials with the eigenstrain formulation of the boundary integral equations. The model and the solution procedure are both resulted intimately from the concepts of the equivalent inclusion of Eshelby with eigenstrains to be determined in an iterative way for each inhomogeneity embedded in the matrix with various shapes and material properties via the Eshelby tensors, which can be readily obtained beforehand through either analytical or numerical means. As unknowns appeared in the final equation system are on the boundary of the solution domain only, the solution scale of the inhomogeneity problem with the present model is greatly reduced. This feature is considered to be significant because such a traditionally time-consuming problem with inhomogeneities can be solved most cost-effectively with the present procedure in comparison with the existing numerical models such as finite element method (FEM) and boundary element method (BEM). Besides, to illustrate computational efficiency of the proposed model, results of overall elastic properties are presented by means of the present eigenstrain model and the newly developed boundary point method for particle reinforced inhomogeneous materials over a representative volume element. The influences of scatted inhomogeneities with a variety of properties and shapes and orientations on the overall properties of composites are computed and the results are compared with those from other methods, showing the validity and the effectiveness of the proposed computational modal and the solution procedure.
UR - http://www.scopus.com/inward/record.url?scp=84962702797&partnerID=8YFLogxK
U2 - 10.1007/978-1-4020-6975-8_13
DO - 10.1007/978-1-4020-6975-8_13
M3 - Conference contribution
SN - 9781402069741
T3 - Computational Methods in Applied Sciences
SP - 239
EP - 255
BT - Composites with Microand Nano-Structures
A2 - Kompis, Vladimir
PB - Springer
T2 - International Conference on Composites with Micro- and Nano-Structure - Computational Modelling and Experiments, CMNS 2007
Y2 - 28 May 2007 through 31 May 2007
ER -