The plane dynamic problem of coupled thermoelasticity |
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Authors: | VN Kobzar’ LA Fil'shtinskii |
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Institution: | 1. Faculty of Printing and Packaging Engineering, Xi''an University of Technology, Xi''an 710048, China;2. MOE Key Laboratory of Strength and Vibration, Xi''an Jiaotong University, Xi''an 710049, China;1. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;2. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;1. Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, PR China;2. Department of Mechanical Engineering and Materials Science, Duke University, NC 27708, USA;3. Center for Research in Extreme Scale Technologies, Indiana University, Bloomington, IN 47408, USA |
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Abstract: | A method of solving two-dimensional inner and outer boundary-value problems of coupled thermoelasticity, taking into account the finite propagation velocity of heat pulses, is proposed, based on constructed fundamental solutions of the corresponding equations. An estimate is given of the coupling of thermomechanical fields in these problems, and the hyperbolic and parabolic models of thermal conductivity are compared. It is shown that the effect of the finite propagation velocity of heat is unimportant even for very short periods of the duration of the processes (comparable with the relaxation time of the heat flux). |
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