| 实心圆柱外表面受热冲击作用的轴对称平面应变热弹性动力学解 |
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| 引用本文： | 王惠明,丁皓江.实心圆柱外表面受热冲击作用的轴对称平面应变热弹性动力学解[J].固体力学学报,2003,24(4):446-450. |
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| 作者姓名： | 王惠明 丁皓江 |
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| 作者单位： | 1. 浙江大学机械与能源工程学院力学系,杭州,310027
2. 浙江大学建工学院土木系,杭州,310027 |
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| 基金项目： | 国家自然科学基金 (10 172 0 75)资助 |
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| 摘 要： | 利用分离变量法，成功地给出了各向同性实心圆柱外表面受热冲击作用的轴对称平面应变热弹性动力学问题的解析解．运用此方法，可以避免积分变换且易于实现数值计算．在数值结果中，与拟静态问题和均匀热冲击情形进行了比较，表明惯性项对中心处应力响应影响不大，而热传导的过程能大大减低中心处的热应力．
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| 关 键 词： | 实心圆柱 热弹性动力学 热冲击 分离变量法 应力响应 拉普拉斯变换 |
| 修稿时间： | 2002年4月1日 |
AN ANALYTICAL SOLUTION OF A SOLID CYLINDER SUBJECTED TO THERMAL SHOCK UNDER DYNAMIC THERMOELASTIC AXISYMMETRIC PLANE STRAIN CONDITION |
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| Wang Huiming,Ding Haojiang.AN ANALYTICAL SOLUTION OF A SOLID CYLINDER SUBJECTED TO THERMAL SHOCK UNDER DYNAMIC THERMOELASTIC AXISYMMETRIC PLANE STRAIN CONDITION[J].Acta Mechnica Solida Sinica,2003,24(4):446-450. |
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| Authors: | Wang Huiming Ding Haojiang |
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| Affiliation: | Wang Huiming1 Ding Haojiang2 |
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| Abstract: | By using the separation of variables method, the analytical solution of a solid cylinder subjected to thermal shock at the external surface for thermoelastic axisymmetric plane strain dynamic problems is performed successfully. By means of the present method, integral transform can be avoided and the numerical results are easily completed.Comparisons between the present study's and quasi-static problems as well as the uniform thermal shock are also made. It is concluded that the inertial term has little influence on the thermal stresses at the center, while the heat conduction process can greatly depress the thermal stresses at the center. |
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| Keywords: | solid cylinder plane strain thermoelastic dynamics thermal shock |
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