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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。
In this paper, the initial stress and magnetic field under the action of the conductive viscoelastic wave characteristics. First, we derive the basic equation of the conductive viscoelastic body under initial stress and magnetic field, and then use it to study the hydrostatic pressure and the solution of the wave equation under uniaxial initial stress. From the dispersion equation of plane harmonic, we analyze the initial Influence of stress and magnetic field on wave propagation. For the viscoelastic Kelvin-Voigt model, the external magnetic field is assumed to be uniform. The results show that the influence of initial stress on the wave varies with different stress properties, which affects both phase velocity and wave attenuation. The size of the magnetic field depends on the strength of the external magnetic field. From the formula obtained in this paper, the external magnetic field is zero, the effect of the initial stress on the wave properties can be obtained. If the initial stress is zero, the effect of the magnetic field on the wave is obtained; when both are zero, the viscoelasticity The classic result of the wave.