The Ghost Solid Method Based Algorithms for Functionally Graded Materials

The Ghost Solid Method Based Algorithms for Functionally Graded Materials

Kaboudian, Abouzar; Khoo, Boo Cheong

Abstract:

The Ghost Solid Method (GSM) based algorithms have been extensively used for numerical calculation of wave propagation in the limit of abrupt changes in materials [1, 2]. In this work, we present the extension of the GSMs to the continuous material changes of the Functionally Graded Materials (FGM) together with the method of characteristics. The application of the GSM leads to a numerical stencil for the FGM that is similar to that of a homogeneous medium. As a result, various previously-matured numerical techniques developed for single homogeneous medium can be used together with the GSM based algorithms. The GSMs are developed for one-dimensional settings and their extension to multidimensions is discussed. The viability of the GSMs is studied for the calculation of sharp stress wave propagation in the FGMs. Numerous numerical examples in one and two dimensional settings are presented attesting to the applicability and robustness of the GSMs.

The Ghost Solid Method (GSM) based algorithms have been extensively used for numerical calculation of wave propagation in the limit of abrupt changes in materials [1, 2]. In this work, we present the extension of the GSMs to the continuous material changes of the Functionally Graded Materials (FGM) together with the method of characteristics. The application of the GSM leads to a numerical stencil for the FGM that is similar to that of a homogeneous medium. As a result, various previously-matured numerical techniques developed for single homogeneous medium can be used together with the GSM based algorithms. The GSMs are developed for one-dimensional settings and their extension to multidimensions is discussed. The viability of the GSMs is studied for the calculation of sharp stress wave propagation in the FGMs. Numerous numerical examples in one and two dimensional settings are presented attesting to the applicability and robustness of the GSMs.

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Referências bibliográficas

• [1] T.G. Liu, A.W. Chowdhury, and B.C. Khoo. The modi ed ghost
• [2] uid method applied to
• [3] uid-elastic structure interaction. Advances in Applied Mathematics and Mechanics, 3:611{633, 2011.
• [4] A. Kaboudian and B.C. Khoo. The ghost solid method for the elastic solid-solid interface. Journal of Computational Physics, 257, Part A:102 { 125, 2014.

Como citar:

Kaboudian, Abouzar; Khoo, Boo Cheong; "The Ghost Solid Method Based Algorithms for Functionally Graded Materials", p-19-19. In: Proceedings of the 13th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials [=Blucher Material Science Proceedings, v.1, n.1]. São Paulo: Blucher, 2014.
ISSN 23589337, DOI