| 变温场中含球形空腔的热黏弹性体动态热应力分析 |
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| 引用本文： | 陈亚娟,尚新春.变温场中含球形空腔的热黏弹性体动态热应力分析[J].郑州大学学报(工学版),2011,32(5). |
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| 作者姓名： | 陈亚娟 尚新春 |
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| 作者单位： | 1. 北京科技大学应用科学学院,北京100083;河南理工大学土木工程学院,河南焦作454000
2. 北京科技大学应用科学学院,北京,100083 |
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| 基金项目： | 国家自然科学基金资助项目(10772024) |
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| 摘 要： | 为解决考虑温度变化的黏弹性体动态热应力问题,从材料的热黏弹性力学性质出发,依据热黏弹性Kelvin-Voigt微分型本构方程及热传导理论和拉普拉斯积分变换方法,求解了带球形空腔的无限大体的动态热应力问题,得到具有温度相关性的黏弹性材料的热应力动态问题的控制方程组,获得位移和应力在拉普拉斯变换域内的精确解,数值求解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： | 热黏弹性 球对称 非定常热应力 Laplace变换 |
Dynamic Thermal Stress Analysis of Thermo-Visco-Elasticity with A Spherical Cavity under Temperature Variation |
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| CHEN Ya-juan
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SHANG Xin-chun.Dynamic Thermal Stress Analysis of Thermo-Visco-Elasticity with A Spherical Cavity under Temperature Variation[J].Journal of Zhengzhou University: Eng Sci,2011,32(5). |
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| Authors: | CHEN Ya-juan SHANG Xin-chun |
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| Affiliation: | CHEN Ya-juan1,2,SHANG Xin-chun1(1.School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China,2.School of Civil Engineering,Henan Polytechnic University,Jiaozuo 454000,China) |
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| Abstract: | In order to solve the dynamic thermal-stress problems of thermo-viscoelasticity,considering the properties of thermo-visco-elasticity materials,and according to the Kelvin-Voigt differential type constitution equations of thermo-visco-elasticity,thermal conduction theory and Laplace integral transform method,the dynamic thermal-stress problem of an infinite material with a spherical cavity was solved,we got control equations and the exact solutions of displacement and stress in Laplace transform fields were... |
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| Keywords: | thermo-visco-elasticity spherical symmetry non-stationary thermal stress Laplace transform |
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