Investigation on a Two-dimensional Generalized Thermal Shock Problem with Temperature-dependent Properties

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	Investigation on a Two-dimensional Generalized Thermal Shock Problem with Temperature-dependent Properties
	He, Tianhu 1,2; Ma, Yongbin 1,2; Shi, Shuanhu 2
刊名	CMC-COMPUTERS MATERIALS & CONTINUA
	2015-05
卷号	47 期号:1 页码:15-29
关键词	generalized thermoelasticity thermal shock finite element method thermal relaxation temperature-dependent properties
ISSN号	1546-2218
英文摘要	The dynamic response of a two-dimensional generalized thermoelastic problem with temperature-dependent properties is investigated in the context of generalized thermoelasticity proposed by Lord and Shulman. The governing equations are formulated, and due to the nonlinearity and complexity of the governing equations resulted from the temperature-dependent properties, a numerical method, i.e., finite element method is adopted to solve such problem. By means of virtual displacement principle, the nonlinear finite element equations are derived. To demonstrate the solution process, a thermoelastic half-space subjected to a thermal shock on its bounding surface is considered in detail. The nonlinear finite element equations for this problem are solved directly in time domain. The variations of the considered variables are obtained and illustrated graphically. The results show that the effect of the temperature-dependent properties on the considered variables is to reduce their magnitudes, and taking the temperature-dependence of material properties into consideration in the investigation of generalized thermoelastic problem has practical meaning in predicting the thermoelastic behaviors accurately. It can also be deduced that directly solving the nonlinear finite element equations in time domain is a powerful method to deal with the thermoelastic problems with temperature-dependent properties.
资助项目	National Natural Science Foundation of China[11372123]
WOS研究方向	Engineering ; Materials Science ; Mathematics
语种	英语
出版者	TECH SCIENCE PRESS
WOS记录号	WOS:000375367000002
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34062]
专题	研究生院理学院
通讯作者	He, Tianhu
作者单位	1.Lanzhou Univ Technol, Key Lab Disaster Prevent & Mitigat Civil Engn Gan, Lanzhou 730050, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	He, Tianhu,Ma, Yongbin,Shi, Shuanhu. Investigation on a Two-dimensional Generalized Thermal Shock Problem with Temperature-dependent Properties[J]. CMC-COMPUTERS MATERIALS & CONTINUA,2015,47(1):15-29.
APA	He, Tianhu,Ma, Yongbin,&Shi, Shuanhu.(2015).Investigation on a Two-dimensional Generalized Thermal Shock Problem with Temperature-dependent Properties.CMC-COMPUTERS MATERIALS & CONTINUA,47(1),15-29.
MLA	He, Tianhu,et al."Investigation on a Two-dimensional Generalized Thermal Shock Problem with Temperature-dependent Properties".CMC-COMPUTERS MATERIALS & CONTINUA 47.1(2015):15-29.