摘要
利用具某一松弛时间的广义热弹性方程求解了带球形空腔的无限大材料问题· 该材料的弹性模量和传热系数是可变的· 空腔的内表面没有力作用,但有热冲击作用· 利用Laplace变换求得直接逼近解· 数值求解了Laplace逆变换· 给出了温度。
The equations of generalized thermoelasticity with one relaxation time with variable modulus of elasticity and the thermal conductivity were used to solve a problem of an infinite material with a spherical cavity.The inner surface of the cavity was taken to be traction free and acted upon by a thermal shock to the surface.Laplace transforms techniques were used to obtain the solution by a direct approach.The inverse Laplace tranforms was obtained numerically.The temperature,displacement and stress distributions are represented graphically.
出处
《应用数学和力学》
CSCD
北大核心
2005年第4期431-436,共6页
Applied Mathematics and Mechanics
关键词
热弹性材料
广义热弹性材料
弹性模量
传热系数
thermoelasticity
generalized thermoelasticity
modulus of elasticity
thermal conductivity
