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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.
Source PublicationZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
2016
Volume96Issue:8Pages:939-955
ISSN0044-2267
AbstractThis 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
KeywordThermal Stress Inertia Effect Hyperbolic Heat Conduction Fourier Transform Singular Integral Equations
DOI10.1002/zamm.201500133
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000380722800003
WOS KeywordThermal stress ; inertia effect ; hyperbolic heat conduction ; Fourier transform ; singular integral equations
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
Funding OrganizationThis work was supported by the funding from the French ANR program T-Shock ANR-10-INTB-0915.
DepartmentLNM生物材料微结构和力学性能
Classification二类
RankingFalse
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59760
Collection非线性力学国家重点实验室
Corresponding AuthorLi, 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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