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    Zonal Finite Line Method and Its Applications in Thermal-Mechanical Analysis of Composite Structures

    Xiaowei Gao1,*, Huayu Liu1, Weilong Fan1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.09510

    Abstract In this paper, a novel numerical method, Zonal Free Element Method (ZFLM), is proposed and used to solve thermal-mechanical problems composed of multiple and functionally graded materials. ZFLM is a collocation method, in which two or three lines in 2D or 3D problems, called as line-set, are used at each node to establish the solution scheme solving engineering problems governed by partial differential equations. In ZFLM, the Lagrange polynomial is adopted to approximate physical variables varying over each line of the line-set. The first-order partial derivative is derived by using a directional derivative technique along arclength of a line, and… More >

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