Inertia effect analysis of a half-plane with an induced crack under thermal loading using hyperbolic heat conduction | |
Li W; Li J; Abdelmoula R; Song F(宋凡); Jiang CP; Li, J (reprint author), Univ Paris 13, CNRS, UPR 3407, LSPM, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France. | |
发表期刊 | ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik |
2016 | |
卷号 | 96期号:8页码:939-955 |
ISSN | 0044-2267 |
摘要 | This paper considers the crack problem for a semi-infinite plate subjected to a thermal shock by using hyperbolic heat conduction equations and equations of motion. The Laplace transform and Fourier transform are used to reduce the problem to a system of singular integral equations which are solved numerically. Numerical results are presented illustrating the influence of non-Fourier effect and inertia effect on the stress intensity factor and normalized crack opening displacements. The results show that the stress intensity factors have higher amplitude and an oscillating feature comparing to those obtained under the conventional Fourier thermal conduction condition and quasi-static hypothesis. These results can help understand the crack behaviors of advanced materials under thermal impact loading. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
关键词 | Thermal Stress Inertia Effect Hyperbolic Heat Conduction Fourier Transform Singular Integral Equations |
DOI | 10.1002/zamm.201500133 |
URL | 查看原文 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000380722800003 |
关键词[WOS] | Thermal stress ; inertia effect ; hyperbolic heat conduction ; Fourier transform ; singular integral equations |
WOS研究方向 | Mathematics ; Mechanics |
WOS类目 | Mathematics, Applied ; Mechanics |
项目资助者 | This work was supported by the funding from the French ANR program T-Shock ANR-10-INTB-0915. |
课题组名称 | LNM生物材料微结构和力学性能 |
论文分区 | 二类 |
力学所作者排名 | False |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/59760 |
专题 | 非线性力学国家重点实验室 |
通讯作者 | Li, J (reprint author), Univ Paris 13, CNRS, UPR 3407, LSPM, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France. |
推荐引用方式 GB/T 7714 | Li W,Li J,Abdelmoula R,et al. Inertia effect analysis of a half-plane with an induced crack under thermal loading using hyperbolic heat conduction[J]. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik,2016,96,8,:939-955. |
APA | Li W,Li J,Abdelmoula R,宋凡,Jiang CP,&Li, J .(2016).Inertia effect analysis of a half-plane with an induced crack under thermal loading using hyperbolic heat conduction.ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik,96(8),939-955. |
MLA | Li W,et al."Inertia effect analysis of a half-plane with an induced crack under thermal loading using hyperbolic heat conduction".ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 96.8(2016):939-955. |
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