半无限粘弹杆的广义磁热粘弹问题  

Generalized Magneto-Thermoviscoelastic Problem for a Semi-Infinite Rod

作　　者：何天虎[1] 井绪明[1] 

机构地区：[1]兰州理工大学,兰州730050

出　　处：《应用力学学报》2009年第3期584-588,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10602021;10872083);中国博士后科学基金(20060400209)

摘　　要：应用Lord-Shulman(L-S)和Green-Lindsay(G-L)广义热弹性理论,研究了在磁场中受移动热源作用的半无限长均质各向同性粘弹杆的磁热粘弹动态响应,并与经典耦合理论进行了对比。给出了杆的广义磁热粘弹耦合的控制方程,借助拉普拉斯积分变换及其数值反变换对控制方程进行了求解,计算得到了杆内温度、应力和位移的分布规律。研究结果表明:时间、热源移动速度和磁场大小对以上分布规律都有一定的影响。In the context of generalized thermoelasticity, both Lord and Shulman(L-S) theory and Green and Lindsay(G-L) theory were chosen to investigate the dynamic thermo-viscoelastic responses of a semi-infinite isotropic rod placed in a magnetic field and subjected to a moving heat source. Comparisons were made between the results obtained from the above theories and the classical coupled thermoelastic theory. The generalized thermo-viscoelastic coupled governing equations for the rod were formulated. By means of Laplace transformation and numerical Laplace inversion the governing equations were solved. Numerical calculation for stress, displacement and temperature within the rod was carried out and displayed graphically. The effects of time,moving heat source speed and magnetic field intensity were discussed .

关 键 词：热松弛时间 广义热弹性理论 磁热粘弹耦合 

分 类 号：O343.6[理学—固体力学]