| 带球形空腔的广义热弹性无限大材料的弹性模量和传热系数与材料参考温度的相关性 |
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| 引用本文： | H·M·约塞夫. 带球形空腔的广义热弹性无限大材料的弹性模量和传热系数与材料参考温度的相关性[J]. 应用数学和力学, 2005, 26(4): 431-436 |
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| 作者姓名： | H·M·约塞夫 |
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| 作者单位： | 约姆·阿_夸热大学 工程学院数学系,玛卡 阿_莫卡热玛 5555,沙特阿拉伯 |
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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．
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| 关 键 词： | 热弹性材料 广义热弹性材料 弹性模量 传热系数 |
| 文章编号： | 1000-0887(2005)04-0431-06 |
| 收稿时间： | 2003-07-28 |
| 修稿时间： | 2003-07-28 |
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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| Hamdy M.Youssef. 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[J]. Applied Mathematics and Mechanics, 2005, 26(4): 431-436 |
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| Authors: | Hamdy M.Youssef |
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| Affiliation: | Mathematical Department, Faculty of Engineering, Umm Al-Qura University, Makkah Al-Mokaramah P. 5555, Saudi Arabia |
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| 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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| Keywords: | thermoelasticity generalized thermoelasticity modulus of elasticity thermal conductivity |
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