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首页> 外文期刊>Applied Mathematical Modelling >Rotational and voids effect on the reflection of P waves from stress-free surface of an elastic half-space under magnetic field and initial stress without energy dissipation
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Rotational and voids effect on the reflection of P waves from stress-free surface of an elastic half-space under magnetic field and initial stress without energy dissipation

机译：旋转和空隙对磁场和初始应力下无能量耗散的弹性半空间无应力表面的P波反射的影响

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摘要

The influence of rotation, magnetic field, voids and initial stress on the reflection of P waves in thermoelasticity without energy dissipation are studied. The basic governing equations for isotropic and homogeneous thermoelastic half-space with voids, rotation, are based on Green and Naghdi (GN) theory under the effect of initial stress, where there is an initial magnetic field parallel to the plane boundary of the half-space. The solution of the problem in xz-plane indicates the existence of four plane waves; P_1; P_2; P_3 and P_4 and an SV waves. The relevant boundary conditions at stress-free insulated surface are satisfied by appropriate solutions in the half-space to obtain the reflection coefficients for the incidence of P waves. The numerical values of the complex modulus of the reflection coefficients are visualized graphically to display the effect of the rotation, magnetic field, initial stress and voids parameters.
机译：研究了旋转，磁场，空隙和初始应力对热能不消耗能量的P波反射的影响。各向同性和均质的具有空隙，旋转的均质热弹性半空间的基本控制方程是基于格林和纳格第（GN）理论在初始应力作用下产生的，其中存在平行于半球形平面边界的初始磁场。空间。 xz平面中问题的解决方案表明存在四个平面波。 P_1; P_2; P_3和P_4以及SV波。通过在半空间中的适当解来满足无应力绝缘表面的相关边界条件，以获得P波入射的反射系数。反射系数的复数模量的数值以图形方式显示，以显示旋转，磁场，初始应力和空隙参数的影响。

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