| 引用本文: | 郑荣跃,刘干斌,唐国金.考虑扩散效应圆形隧洞热弹性耦合动力响应研究.[J].国防科技大学学报,2008,30(3):27-31.[点击复制] |
| ZHENG Rongyue,LIU Ganbin,TANG Guojin.Thermodynamic Response of a Cylindrical Tunnel in the Theory of Generalized Thermoelastic Diffusion[J].Journal of National University of Defense Technology,2008,30(3):27-31[点击复制] |
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| 考虑扩散效应圆形隧洞热弹性耦合动力响应研究 |
| 郑荣跃1,2, 刘干斌1, 唐国金2 |
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(1.宁波大学 建筑工程与环境学院，浙江 宁波 315211;2.国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 利用S-H热弹性扩散的基本理论，研究了无限弹性介质中圆形隧洞表面受随时间变化的热冲击的动力响应问题。采用直接求解方法以避免势函数的引入，利用Laplace变换技术，求解热、力、化学耦合控制方程，获得了弹性介质中温度梯度、位移、应力和化学势的积分形式解。最后，利用Laplace逆变换得到数值结果，分析了热、力、化学耦合条件下弹性介质中温度梯度、应力、位移和化学势响应的分布规律。 |
| 关键词: 扩散 动力响应 热弹性 Laplace变换 |
| DOI： |
| 投稿日期：2007-12-20 |
| 基金项目:浙江省自然科学基金资助项目(Y107637)；宁波市自然科学基金资助项目(2007A6100626) |
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| Thermodynamic Response of a Cylindrical Tunnel in the Theory of Generalized Thermoelastic Diffusion |
| ZHENG Rongyue1,2, LIU Ganbin1, TANG Guojin2 |
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(1.College of Civil Construction and Environmental Engineering, Ningbo Univ.，Ningbo 315211, China;2.College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The theory of generalized thermoelastic diffusion of Sherief is used to investigate the dynamic response of infinite elastic medium with a cylindrical tunnel subjected to a time-dependent thermal shock. Without the customary use of potential functions, the direction method of solution, with the help of Laplace technique, is used to solve the coupling thermal, chemical and mechanical governing equation. The analytical solutions of temperature increment, displacement, stress and chemical potential are obtained in the transform domain, and by using the inverse Laplace transform, the numerical results are obtained and used to analyze the distribution of temperature increment, stress, displacement and chemical potential on the condition of thermo-chemo-mechanical coupling. |
| Keywords: diffusion dynamic response thermo-elastic Laplace transform |
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