Finite element method for a two-dimensional thermoelastic coupling problem with thermal relaxation
He, Tian-Hu1; Guan, Ming-Zhi1,2,3,4
2011-12-01
发表期刊Gongcheng Lixue/Engineering Mechanics
ISSN10004750
卷号28期号:12页码:1-6
摘要To maintain the calculation precision in solving Lord and Shulman (L-S) type generalized thermoelastic problems by means of integral transform technique, the newly developed so-called direct finite element method is adopted to solve the dynamic response of a two-dimensional half-space subjected to a thermal shock, in which the generalized thermoelastic coupling is considered. In the context of Lord and Shulman generalized thermoelastic theory, the results are obtained with high precision by using the direct finite element method. The L-S type generalized thermoelastic coupling governing equations, the general form of virtual displacement principle as well as the corresponding finite element equations are formulated in this paper. The distributions of dimensionless temperature, dimensionless displacement and dimensionless stress are generated and displayed graphically. The distribution of temperature demonstrates clearly the unique characteristic of heat wave front, i.e., a sharp jump of temperature in the position of heat wave front.
关键词Climatology Geometry Integral equations Thermal shock Thermoelasticity Wavefronts Dimensionless displacements Dimensionless temperatures Distribution of temperature Generalized thermoelastic Heat waves Integral transform technique Thermoelastic couplings Virtual-displacement principle
收录类别EI
语种中文
出版者Tsinghua University
EI入藏号20120214672349
EI主题词Finite element method
EI分类号443 Meteorology - 921 Mathematics - 931.2 Physical Properties of Gases, Liquids and Solids
来源库Compendex
分类代码443 Meteorology - 921 Mathematics - 931.2 Physical Properties of Gases, Liquids and Solids
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/111942
专题研究生院
作者单位1.School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, China;
2.Department of Mechanics, Lanzhou University, Lanzhou, Gansu 730000, China;
3.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China;
4.Graduate University of Chinese Academy of Sciences, Beijing 100049, China
第一作者单位兰州理工大学
第一作者的第一单位兰州理工大学
推荐引用方式
GB/T 7714
He, Tian-Hu,Guan, Ming-Zhi. Finite element method for a two-dimensional thermoelastic coupling problem with thermal relaxation[J]. Gongcheng Lixue/Engineering Mechanics,2011,28(12):1-6.
APA He, Tian-Hu,&Guan, Ming-Zhi.(2011).Finite element method for a two-dimensional thermoelastic coupling problem with thermal relaxation.Gongcheng Lixue/Engineering Mechanics,28(12),1-6.
MLA He, Tian-Hu,et al."Finite element method for a two-dimensional thermoelastic coupling problem with thermal relaxation".Gongcheng Lixue/Engineering Mechanics 28.12(2011):1-6.
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