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Asymptotic solutions of coupled dynamic problems of thermoelasticity for isotropic plates
Authors:R.S. Gevorgyan
Affiliation:1. Department of Civil Engineering, Zhejiang University City College, Hangzhou 310015, China;2. Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China;1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China;2. College of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China;1. College of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China;2. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China;3. School of Mechanical Engineering, Xiangtan University, Xiangtan, Hunan 411105, China
Abstract:The asymptotic method of solving boundary-value problems of the theory of elasticity for anisotropic strips and plates is used to solve coupled dynamic problems of thermoelasticity for plates, on the faces of which the values of the temperature function and the values of the components of the displacement vector or the conditions of the mixed problem of the theory of elasticity are specified. Recurrence formulae are derived for determining the components of the displacement vector, the stress tensor and for the temperature field variation function of the plate.
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