The numerical manifold method for transient moisture diffusion in 2D functionally graded materials

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: Backward difference;    Discrete formulations;    Governing equations;    Material gradients;    Modified variational principles;    Moisture concentration;    Moisture diffusion;    Numerical manifold method;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/189/3/032017/pdf
DOI  :  10.1088/1755-1315/189/3/032017

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

Attributing to its unique dual cover systems, the numerical manifold method (NMM) provides a uniform framework for both continuous and discontinuous analysis. In this work, the NMM is developed to perform 2D transient moisture diffusion analysis in functionally graded materials (FGMs). The NMM discrete formulations are derived based on the governing equation, the boundary conditions and the modified variational principle, and then solved by the backward difference scheme. The accuracy of the proposed method is verified through a typical numerical example, and the influence of the material gradient of the FGMs on the moisture concentration field is also examined.