强瞬态热冲击下轴对称弹性体的热弹耦合问题研究

【作者】 莽珊珊；

【导师】 谢玉树；

【作者基本信息】 南京理工大学 ， 工程力学， 2004， 硕士

【摘要】 超急速传热条件下可能出现的非经典热传递效应因其重要的学术意义和巨大的应用潜力正成为传热领域内新兴的研究热点之一。本文在总结和评述前人研究成果的基础上对空心圆柱体内、外表面温度突变这类超急速传热问题的双曲线非傅立叶导热模型进行了分析求解和数值模拟。分析了空心圆柱体内出现显著的非傅立叶热效应所应具备的条件，提出了一些非傅立叶温度的控制途径。然后用一种解析方法求解了在热冲击作用下空心圆柱体的动态热应力分布，较简便的得到应力波传播的精确解，进而分析了空心圆柱体内的热动应力的响应和分布规律。通过理论分析结果为非傅立叶热冲击的实际应用提供了研究路线，对超急速传热条件下的非经典热传递效应进行了较为系统的研究。更多还原

【Abstract】 Non-traditional heat transfer effect, which is possible to appear in rapid transient heat transfer process is gradually growing into a new research focus due to its great practical potentiality and academic significance. Analytical solution and numerical simulation of non-Fourier heat conduction models summarizes and comments on predecessors’ results and obtains the analytical solution of hyperbolic heat conduction model for a hollow cylinder with inner and outer boundary surfaces subjected to sudden temperature rise. Conditions for producing evident non-Fourier heat conduction behavior are discussed and some methods for non-Fourier temperature control are proposed. Then an effective method is presented for gaining the distribution of the dynamic thermoelastic stress in a hollow cylinder subjected to thermal shock, one easily obtains the exact solution for the transient waves caused by thermal shock, the response and distribution of thermodynamic stresses in a hollow cylinder are also solved by means of the analytical method. With the assistance of some necessary theoretical analysis, systematic research on non-Fourier effect in thermal shock is carried out.更多还原