初始应力及磁场作用下导电粘弹体内的平面波

本文研究初始应力及磁场作用下导电粘弹体内的波动特性。首先导出有初始应力及磁场作用下导电粘弹体运动的基本方程,然后用它去研究流体静压力及单轴初始应力下波动方程的解,从平面简谐波的频散方程,分析了初始应力及磁场对波动传播的影响。粘弹体用Kelvin-Voigt模型,外磁场假定为均匀。所得结果表明,初始应力对波的影响随应力性质不同而有所差异,它既影响波的相速也影响波的衰减。磁场影响的大小决定于外磁场的强弱。从本文所得公式中,令外磁场为零,可得初始应力对波特性的影响;如令初始应力为零,就得到磁场对波的影响结果;令两者同时为零,即得粘弹波的经典结果。

MAGNETO-VISCOELASTIC PLANE WAVE IN INITIALLY STRESSED CONDUCTING MEDIA

The object of present paper is to investigate the propagation of magneto-viscoelas-tic plane wave in initially stressed conducting media. Firstly, the fundamental equation of magneto-vicoelastic wave in a conducting medium under an initial stress is deduced and employed to investigate the case of hydrostatic initial stress. Secondly, propagation of magneto-elastic plane wave in a conductor under initial uniaxial tension is considered. The final results obtained in above case are in agreement with the corresponding classical problems with zero initial stress in or magnetic field.