Analysis of materials systems represented by graphs

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    Abstract

    Presented is a rigorous mathematical formulation of boundary value problems defined on discrete systems described by mathematical graphs. The formulation is applicable to mechanical and physical problems and includes an effective algebraic framework and efficient computational implementation. Me- chanical problems involving damage initiation and evolution are soled to illus- trate the proposed method. It is concluded that the graph-theoretical approach to discrete systems offers substantial benefits in terms of conceptual clarity and computational efficiency.
    Original languageEnglish
    Title of host publicationProceedings of the 1st International Conference on Theoretical, Applied, Experimental Mechanics
    Pages249-254
    Number of pages5
    DOIs
    Publication statusPublished - 17 Jun 2018

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