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《Engineering Mechanics》 2010-06
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FINITE ELEMENT METHOD TO A GENERALIZED ONE-DIMENSIONAL THERMO-ELASTIC COUPLED PROBLEM SUBJECT TO A THERMAL SHOCK

HE Tian-hu,GUAN Ming-zhi(School of Science,Lanzhou University of Technology,Lanzhou,Gansu 730050,China)  
In order to avoid the accuracy loss encountered in the process of numerical inversion in an integral transformation method adopted to solve generalized thermoelastic coupled problems in the context of Lord-Shulman(L-S) theory,the finite element method is used to solve a L-S type generalized thermoelastic coupled dynamic problem of a thin slim strip.The results show that the finite element method is very valid to obtain high calculation accuracy for L-S type generalized one-dimensional themoelastic coupled problem subjected to a thermal shock.The L-S type generalized thermoelastic coupled 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 displayed graphically.From the distribution of temperate,the unique characteristic of heat wave can be observed clearly in the location of heat wave front where a sharp change of temperature gradient occurs.
【Fund】: 国家自然科学基金项目(10602021);; 中国博士后科学基金特别资助项目(200902310)
【CateGory Index】: O343.6
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Song Yaqin Zhang Yuanchong (MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China);STUDY ON A TWO-DIMENSIONAL GENERALIZED MAGNETO- THERMOVISCOELASTIC PROBLEM SUBJECTED TO RAMP-TYPE HEATING[J];Chinese Journal of Theoretical and Applied Mechanics;2006-04
2 He Tianhu 1 Tian Xiaogeng2 (School of Science,Lanzhou University of Technology,730050,Lanzhou,China)1 (Department of Engineering Mechanics,Xi'an Jiaotong University,710049,Xi'an,China)2;Two-Dimensional Electromagneto-Thermoelastic Coupled Problem with Thermal Relaxation[J];Chinese Journal of Applied Mechanics;2007-03
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 Peng Fan~(2)) Chen Yaojun Liu Yifan Fu Yiming (College of Mechanics and Aerospace,Hunan University,Changsha 410082,China);NUMERICAL INVERSION OF LAPLACE TRANSFORS IN VISCOELASTIC PROBLEMS BY FOURIER SERIES EXPANSION[J];Chinese Journal of Theoretical and Applied Mechanics;2008-02
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
1 ZHU Lin-li, ZHENG Xiao-jing (School of Physical Science and Technology, Lanzhou University, Lanzhou, 730000, China);Heat conduction and electro-magneto-thermoelasticity based on the Boltzmann equation under the electric and magnetic fields[J];Journal of Lanzhou University;2005-02
2 He Tianhu Tian Xiaogeng Shen Yapeng(Dept. of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China);ONE-DIMENSIONAL GENERALIZED THERMAL SHOCK PROBLEM FOR A SEMI-INFINITE PIEZOELECTRIC ROD[J];Acta Mechanica Sinica;2003-02
3 Song Yaqin Zhang Yuanchong Lu Bingheng (Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China) (Department of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China);ELECTROMAGNETO-THERMOELASTIC WAVES WITH TWO RELAXATION TIMES IN A PERFECTLY CONDUCTING MEDIUM[J];Acta Mechanica Sinica;2003-06
4 Song Yaqin Zhang Yuanchong Xu Hongyu Lu Bingheng (School of Civil Engineering and Mechanics, Xi'an Jiaoiong University, Xi'an 710049, China) (School of Mechanical Engineering, Xi'an Jiaoiong University, Xi'an 710049, China);TRANSIENT DISTURBANCE IN A HALF-SPACE DUE TO MOVING LINE HEAT SOURCE USING THERMOELASTICITY WITHOUT ENERGY DISSIPATION[J];Acta Mechanica Sinica;2004-03
5 Song Yaqin Zhang Yuanchong Xu Hongyu Lu Bingheng (School of Aerospace, MSSV, Xi'an Jiaotong University, Xi'an 710049, China) (School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China);STUDY ON MAGNETO-THERMOVISCOELASTIC PROBLEM WITH TWO RELAXATION TIMES DUE TO MOVING INTERNAL HEAT SOURCE[J];Acta Mechanica Sinica;2005-04
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