Computational modal and solution procedure for inhomogeneous materials with Eigen-Strain formulation of boundary integral equations

Hang Ma, Qing Hua Qin, Vladimir Kompiš

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    2 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Title of host publicationComposites with Microand Nano-Structures
    Subtitle of host publicationComputational Modeling and Experiments
    EditorsVladimir Kompis
    PublisherSpringer
    Pages239-255
    Number of pages17
    ISBN (Print)9781402069741
    DOIs
    Publication statusPublished - 2008
    EventInternational Conference on Composites with Micro- and Nano-Structure - Computational Modelling and Experiments, CMNS 2007 - Liptovsky Mikulas, Slovakia
    Duration: 28 May 200731 May 2007

    Publication series

    NameComputational Methods in Applied Sciences
    Volume9
    ISSN (Print)1871-3033

    Conference

    ConferenceInternational Conference on Composites with Micro- and Nano-Structure - Computational Modelling and Experiments, CMNS 2007
    Country/TerritorySlovakia
    CityLiptovsky Mikulas
    Period28/05/0731/05/07

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