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  • Open Access

    PROCEEDINGS

    A Spatiotemporal Nonlocal Model for Overall Dynamics of Composites and Its Analytical Solutions

    Linjuan Wang1,*, Jianxiang Wang2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.09355

    Abstract The prediction of overall dynamics of composite materials has been an intriguing research topic more than a century, and numerous approaches have been developed for this topic. One of the most successful representatives is the classical micromechanical models which assume that the behavior of a composite is the same as its constituents except for the difference in mechanical properties, e.g., effective moduli. With the development of advanced composite materials in recent years, especially metamaterials, it is found that the classical micromechanical models cannot describe complex dynamic responses of composites such as the dispersion and bandgaps of elastic waves. Thus, some… More >

  • Open Access

    ABSTRACT

    Dynamic Green’s Functions for Multiple Elliptical Inclusions With Imperfect Interfaces Using the Collocation Multipole Method

    Weiming Lee

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.4, pp. 178-178, 2019, DOI:10.32604/icces.2019.05190

    Abstract This paper presents a semi-analytical approach to solve anti-plane dynamic Green’s functions for an elastic infinitely extended isotropic solid (matrix) containing multiple elliptical inclusions with imperfect interfaces. The multipole expansions of anti-plane displacement for the matrix and inclusion are formulated in terms of angular and radial Mathieu functions to solve the dynamic Green’s functions. Instead of using the complex addition theorem, frequently used in the traditional multipole method for a multiply-connected domain problem, the multipole expansion is directly computed in each local elliptical coordinate system. A linear spring model with vanishing thickness is employed to character the imperfect interface. The… More >

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