Modelling steady moisture diffusion in functionally graded materials with the numerical manifold method

2018 International Conference on Civil and Hydraulic Engineering

土木建筑工程;水利工程

Zhang, Huihua^1 ; Liu, Simin^1 ; Han, Shangyu^1

School of Civil Engineering and Architecture, Nanchang Hangkong University, Nanchang, Jiangxi

330063, China^1

关键词: Discrete equations;    Governing equations;    Mathematical cover;    Moisture concentration;    Moisture diffusion;    Numerical manifold method;    Steady state;    Weighted residual method;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/189/4/042018/pdf
DOI  :  10.1088/1755-1315/189/4/042018

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

Due to the use of bi-cover systems, the numerical manifold method (NMM) is able to solve physical problems with non-conforming mathematical covers. In this work, the NMM is further extended to study steady-state moisture diffusion in 2D functionally graded materials (FGMs). Based on the governing equations, the NMM approximation and the weighted residual method, the NMM discrete equations are derived and the present method is verified through a typical example. Besides, the effect of the graded parameter of the FGMs on the moisture concentration is also investigated.