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Dynamic Response of Composite Materials with 2D Reduced Micromorphic Model

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Abstract

In this article, we introduce a complete set of constitutive relations and field equations for the linear reduced micromorphic model. We further investigate the internal variables and their relationship in the case of two-dimensional (2D) wave propagation. The dynamic response is investigated for composite materials, which is due to an external wave in two dimensions applied at the boundary of the considered domain. Analytical solutions for the model are unavailable at this stage due to dependency of the field equations on spatial and time variables in a complicated manner. A finite element approach is adopted to derive approximate solutions for the field equations, and numerical finite element solutions for the internal fields are presented in detail and discussed.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

    A. R. El Dhaba

  2. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

    C. W. Lim

Authors
  1. A. R. El Dhaba
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  2. C. W. Lim
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Correspondence to C. W. Lim.

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Dhaba, A.R.E., Lim, C.W. Dynamic Response of Composite Materials with 2D Reduced Micromorphic Model. Acta Mech. Solida Sin. 35, 603–615 (2022). https://doi.org/10.1007/s10338-021-00289-x

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  • DOI: https://doi.org/10.1007/s10338-021-00289-x

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