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功能梯度材料中瞬态热传导的带绝缘裂纹附近表面修正的近场动力学模型

Peridynamics Model with Surface Correction Near Insulated Cracks for Transient Heat Conduction in Functionally Graded Materials.

作者信息

Tan Yang, Liu Qiwen, Zhang Lianmeng, Liu Lisheng, Lai Xin

机构信息

Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan 430070, China.

Department of engineering structure and mechanics, Wuhan University of Technology, Wuhan 430070, China.

出版信息

Materials (Basel). 2020 Mar 15;13(6):1340. doi: 10.3390/ma13061340.

DOI:10.3390/ma13061340
PMID:32183474
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7142420/
Abstract

A peridynamic (PD) model of functionally graded materials (FGMs) is presented to simulate transient heat conduction in the FGM plate with insulated cracks. The surface correction is considered in the model to reduce the surface effect near the domain boundary and insulated cracks. In order to verify the proposed model, a numerical example for the FGM plate is carried out. The results show good agreement with the analytical solution. The convergence of the model with the surface correction for FGMs without cracks is then investigated. The results reveal that our model converges to the classical solutions in the limit of the horizon going to zero. The effects of two material points discretization schemes on the accuracy of numerical results are investigated. For transient heat conduction of FGMs with a static crack, the results obtained from the proposed PD model agree well with that from the finite element method. Finally, transient heat conduction of the FGM plate with a dynamic horizontal crack and intersecting cracks is simulated and discussed.

摘要

提出了一种功能梯度材料（FGM）的近场动力学（PD）模型，用于模拟具有绝缘裂纹的FGM板中的瞬态热传导。模型中考虑了表面修正，以减少域边界和绝缘裂纹附近的表面效应。为了验证所提出的模型，对FGM板进行了数值算例。结果与解析解吻合良好。然后研究了无裂纹FGMs表面修正模型的收敛性。结果表明，在视界趋于零的极限情况下，我们的模型收敛于经典解。研究了两种材料点离散化方案对数值结果精度的影响。对于具有静态裂纹的FGMs的瞬态热传导，所提出的PD模型得到的结果与有限元法得到的结果吻合良好。最后，模拟并讨论了具有动态水平裂纹和相交裂纹的FGM板的瞬态热传导。

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