各向同性弹性半空间与带孔隙横观各向同性热弹性材料界面上波的传播

Propagation of Wave at the Boundary Surface of Transversely Isotropic Thermoelastic Material With Voids and Isotropic Elastic Half-Space

在一各向同性弹性半空间上覆盖一层带孔隙的横观各向同性热弹性材料时,研究孔隙对表面波传播的影响.建立"焊接"接触及光滑接触界面条件下的数学模型,导出其频率方程.用图形给出相速度和衰减系数随波数的变化曲线,描述了"焊接"接触界面条件时孔隙和各向异性的影响.得到了"焊接"接触时的单位损耗,以及体积率场、正应力、温度变化的幅值,并对一组特殊模型用图形描述了孔隙和各向异性的影响.研究中还推演出一些特例.

The purpose of this research was to study the effect of voids on the surface wave propagation in a layer of transversely isotropic thermoelastic material with voids lying over an isotropic elastic half-space.The frequency equation was derived after developing the mathematical model for welded and smooth contact boundary conditions.The dispersion curves giving the phase velocity and attenuation coefficient verses wave number were plotting graphically to depict the effects of voids and anisotropy for welded contact boundary conditions.The specific loss and amplitudes of volume fraction field,normal stress,temperature change for welded contact are obtained and shown graphically for a particular model to depict the voids and anisotropy effects.Some special cases are also deduced from the present investigation.