Dependence of the Modulus of Elasticity and the Thermal Conductivity on the Reference Temperature in Generalized Thermoelasticity for an Infinite Material With a Spherical Cavity
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摘要: 利用具某一松弛时间的广义热弹性方程求解了带球形空腔的无限大材料问题.该材料的弹性模量和传热系数是可变的.空腔的内表面没有力作用,但有热冲击作用.利用Laplace变换求得直接逼近解.数值求解了Laplace逆变换.给出了温度、位移和应力的分布图.Abstract: The equations of generalized thermoelasticity with one relaxation time with variable modulus of elasticity and the thermal conductivity were used to solve a problem of an infinite material with a spherical cavity.The inner surface of the cavity was taken to be traction free and acted upon by a thermal shock to the surface.Laplace transforms techniques were used to obtain the solution by a direct approach.The inverse Laplace tranforms was obtained numerically.The temperature,displacement and stress distributions are represented graphically.
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[1] Lord H,Shulman Y.A generalized dynamical theory of thermoelasticity[J].J Mech Phys Solids,1967,15(5):229—309. doi: 10.1016/0022-5096(67)90013-0 [2] Sherief H,Dahaliwal R.A generalized one-dimensional thermal shock problem for short times[J].J Thermal Stresses,1981,4:407—420. doi: 10.1080/01495738108909976 [3] Sherief H,Anwar M.Problem in generalized thermoelasticity[J].J Thermal Stresses,1986,9:165—182. doi: 10.1080/01495738608961895 [4] Sherief H.Fundametal solution to the generalized thermoelastic problem for short times[J].J Thermal Stresses,1986,9:151—164. doi: 10.1080/01495738608961894 [5] Noda N.Thermal Stresses in materials with temperature-dependent properties[A].In:Richard B Hetnarski Ed.Thermal Stresses[C].Vol 1.Amsterdam:North-Holland,1986,391—396. [6] Takeuti Y,Noda N.A three-dimensional treatment of transient thermal stresses in a circular cylinder due to an arbitrary heat supply[J].J Appl Mech,1978,45:817—821. doi: 10.1115/1.3424425 [7] Nowacki W.Dynamic Problems of Thermoelasticity[M].Leyden:Noordhoff International Publishing,1975. [8] Ezzat M A,Othman M I,El-Karamany.The dependence of the modulus of elasticity on the reference temperature in generalized thermoelasticity[J].J Thermal Stresses,2001,24(12):1159—1176. doi: 10.1080/014957301753251737 [9] Sherief Hany H,Anwar Mohamed N.A problem in generalized thermoelasticity for an infinitely long annular cylinder[J].Internat J Engrg Sci,1988,26(3):301—306. doi: 10.1016/0020-7225(88)90079-1 [10] Hanig G,Hirdes U.A method for the numerical inversion of Laplace transform[J].J Comput Appl Math,1984,10(1):113—132. doi: 10.1016/0377-0427(84)90075-X [11] Chu H,Chen C,Weng C.Applications of Fourier series technique to transient heat transfer[J].Chem Eng Commun,1982,16:215—227. doi: 10.1080/00986448208911098 [12] Hasselman D P H,Heller R A.Thermal Stresses in Severe Environments[M].Plenum,1980,61—80.
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