热冲击作用下圆柱体耦合热弹性分析

Thermoelastic analysis of cylindrical coupling under thermal shock

基于热弹性理论,建立了外表面受热冲击作用的轴对称各向同性圆柱的拟静态热弹性耦合模型。通过引入热弹性势函数和勒夫位移函数,将相互耦合的温度场与位移场分离为独立方程求解,采用Laplace变换与留数定理严格推导出温度场与应力场的一般形式,并结合数值仿真,图像显示了温度场与应力场的分布,结果表明耦合项具有显著效应。

Based on thermoelastic theory,a quasi-static thermoelastic coupling model for axisymmetric isotropic cylinders subjected to thermal shock was established.By introducing the thermoelastic potential function and the Love displacement function,the coupling temperature field and the displacement field were separated to solve an independent equation.The general forms of temperature and stress fields were deduced strictly by Laplace transform and residue theorem.Combined with numerical simulation,the distribution law of temperature field and stress field were illustrated.The results showed that the coupling term had obvious effects.