弹性模量受温度影响有限长杆的广义热弹耦合问题

应用Lord和Shulman（L-S）广义热弹性理论，研究了材料特性参数随温度线性变化的两端固定杆受移动热源作用时的热弹动态响应．计算得到了杆内温度及位移的分布规律，分析了移动热源速度、弹性模量以及热松弛时间对温度和位移的影响．从分布图上可以观察到，温度及位移随移动热源速度的增大而减小，随温度变化的弹性模量对位移有显著的影响，而对温度几乎没有影响；无量纲温度、位移的峰值随热松弛时间的增加而增大。

The Generalized Thermoelastic Problem of a Rod Subjected to a Moving Heat Source with Temperature-dependent Properties

In the case of being subjected to a moving heat source,the generalized thermoelastic coupled problem of a homogenous rod with temperature-dependent properties is investigated in the context of Lord and Shulman theory. Numerical calculations for the variables are carried out and the obtained results are presented graphically. The effects of moving heat source speed, ternperature-dependent modulus of elasticity and thermal relaxation time on displacement and temperature are studied. From the graphs, it can be found that the temperature and thermally induced displacement in the rod are found to decrease at large heat source speeds, and the temperature-dependent modulus of elasticity influences significantly the variations of non-dimensional displacement. However it has nearly no effect on the non-dimensional temperature. The peak values of the non-dimensional temperature and displacement are found to increase as the thermal relaxation time lengthens.