Inertia effect analysis of a half-plane with an induced crack under thermal loading using hyperbolic heat conduction | |
Li W![]() ![]() ![]() | |
Source Publication | ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
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2016 | |
Volume | 96Issue:8Pages:939-955 |
ISSN | 0044-2267 |
Abstract | 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 |
Keyword | Thermal Stress Inertia Effect Hyperbolic Heat Conduction Fourier Transform Singular Integral Equations |
DOI | 10.1002/zamm.201500133 |
URL | 查看原文 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:000380722800003 |
WOS Keyword | Thermal stress ; inertia effect ; hyperbolic heat conduction ; Fourier transform ; singular integral equations |
WOS Research Area | Mathematics ; Mechanics |
WOS Subject | Mathematics, Applied ; Mechanics |
Funding Organization | This work was supported by the funding from the French ANR program T-Shock ANR-10-INTB-0915. |
Department | LNM生物材料微结构和力学性能 |
Classification | 二类 |
Ranking | False |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/59760 |
Collection | 非线性力学国家重点实验室 |
Corresponding Author | Li, J (reprint author), Univ Paris 13, CNRS, UPR 3407, LSPM, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France. |
Recommended Citation 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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a2016-191.pdf(927KB) | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download |
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