基于非傅里叶热传导对热冲击下带裂纹厚壁圆筒的分析

Numerical analysis for non-Fourier thermodynamic response of a thick-walled hollow cylinder with cracks under thermal shock

随着科学技术、工业水平的发展,传统的傅里叶导热在极端条件下不再适用。基于双曲型单相延迟非傅里叶热传导方程,推导了热冲击下有限元方程,编写了有限元算法程序,研究了在热冲击载荷下含裂纹厚壁圆筒结构的热力学响应,计算出厚壁圆筒在非经典传热条件下的温度场、位移场和裂纹尖端应力强度因子的数值解,分析不同热冲击载荷、不同裂纹长度、不同相位延迟下非傅里叶热传导的波动性效应以及温度应力强度因子的变化,得到相应的结论。为非经典工程条件下,带裂纹厚壁圆筒构件的可靠性以及构件的优化设计提供了数值上的参考。

With the development of technology and industry,traditional Fourier heat conduction is no longer applicable under extreme conditions.Based on the hyperbolic single-phase delay non-Fourier heat conduction equations,finite element method equations under thermal shock were derived.The finite element method algorithm was programmed to study the thermodynamic response of the thick-walled cylindrical structure with crack under thermal shock.The numerical solution of temperature field,displacement field,and the stress intensity factor of crack tip under non-classical heat transfer conditions were calculated.The volatility effects of non-Fourier heat conduction,and the variation of temperature stress intensity factors under different thermal shock,different crack lengths and different phase delays were analyzed.For the non-classical engineering conditions,the reliability of the thick-walled cylindrical members with cracks and the optimal design of the components provide a numerical reference.Under non-classical engineering conditions,a numerical reference for better reliability and design of the thick-walled cylindrical components was provided.