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  2016, Vol. 37 Issue (3): 254-263    
  研究论文 本期目录 | 过刊浏览 | 高级检索 |
热冲击下物性与温度相关性对热弹性响应的渐进分析
王颖泽,徐杰,王谦,顾利平
1. 江苏大学能源与动力工程学院
2. 江苏太湖锅炉有限公司
Effect of temperature dependency on thermoelastic response during transient thermal shock
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摘要 计及材料物性与温度的相关性,基于Green-Naghdi能量无耗散广义热弹性理论(G-N II理论),对热冲击下具有变物性特征材料的热弹性响应进行了求解分析。借助Laplace正、反变换技术以及Krichhoff变换,在热物性参数随真实温度呈线性规律的前提下,推导了半无限大体受热冲击作用时热弹性响应的解析表达式,通过求解分析,得到了热冲击下热波、热弹性波的传播规律,位移场、温度场以及应力场的分布情况,以及物性随温度相关性对热弹性响应的影响效果。结果表明:当考虑材料物性随温度的变化时,热波、热弹性波的传播以及各物理场的分布均受到不同程度的影响,且物性随温度相关性对热弹性响应的作用效果将受到材料热-力耦合特性的影响。
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王颖泽
徐杰
王谦
顾利平
Abstract:The thermoelastic behavior, induced by transient thermal shock, has significant difference once considering the temperature dependency of material properties. The research on the thermoelastic response of materials with variable material properties, especially the prediction of thermal stresses, is very important to evaluate their lives in some circumstance with extreme heat supply. The thermoelastic response of materials with temperature-dependent properties, suffered the transient thermal shock, are studied in this paper. The equations with variable material properties are proposed in the context of generalized theory of thermoelasticity without energy dissipation (Green-Naghdi II model). The analytical solutions of the problem for a semi-infinite body, subjected to a sudden thermal shock in its boundary, are derived by means of the Laplace transform technique and the Krichhoff transform, where the variable thermal material properties are assumed to be a linear function of real temperature. The explicit s of two waves, named as thermal wave and thermoelastic wave, respectively, are obtained from these analytical solutions, which can clearly reveal the propagation of these two waves and their connection with characteristic parameters, such as thermo-mechanical coupling coefficient and temperature factors. The distributions of the displacement, temperature and stresses, associated with finite propagation velocity of heat signal, are obtained and plotted, meanwhile, the comparison with the results obtained from the case with constant material properties are also conducted to reveal the effect of the temperature dependency of material properties. The results show that the propagation of two waves, as well as the distribution of each physical field, are changed when involving the variation of thermal material properties, and these changes are dependent on the value of thermo-mechanical coupling coefficient.
收稿日期: 2015-08-25      出版日期: 2016-06-21
ZTFLH:  O347.4  
  O343.6  
基金资助:国家自然科学基金;国家自然科学基金
通讯作者: 王颖泽     E-mail: wyz3701320@ujs.edu.cn
引用本文:   
王颖泽,徐杰,王谦,顾利平. 热冲击下物性与温度相关性对热弹性响应的渐进分析[J]. , 2016, 37(3): 254-263.
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