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关于1~3维介质中调和热粘弹性波的理论研究

A Theoretical Study on the Harmonic Thermoviscoelastic Waves in 1~3D Media
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摘要 研究了一~三维介质中平面热粘弹性波的性质,给出了热粘弹性材料的本构关系.研究表明,波的衰减趋势与其传播方向是一致的.研究了具有自由表面的半平面波的传搞规律,分析了两类反射波:P波(即Primary波,纵波)、S波(即(Secondary波,横波)的特点,模拟结果表明,它们具有不同的传播方向及衰减趋势,讨论了波动各个量之间的关系,数值模拟算例表明了本研究的有效性. In this paper, the characteristics of plane thermoviscoelastic waves in 1 ~3D media are studied, and the constitutive epuation for the viscoelastic material is given.Studies show that the attenuation tendency of the plane thermoviscoelastic waves is inaccordance with its direction of dissemination, and also the spreading pattern of harmonicwaves of a halfspace with frss surface is studied. The characteristics of two types of reflected waves-primary waves (P waves, longitudinal waves) and Secondary waves (Swaves, horizontal waces), are analyzed. Simulation shows that Promary waces and Secondary waves have distinct direction of dissemination and attenuation tendencies.Finally, the relation between the quantas of waces has been canvassde, The nimericalsimulation provides proof for the effecticeness of our research.
作者 王建省
出处 《北方工业大学学报》 1999年第1期33-41,共9页 Journal of North China University of Technology
关键词 粘弹性波 S波 P波 本构关系 热粘弹性 弹性波 harmonic waces S-waves P-waves the stress strain constitutive relations thermoviscoelasticity reflection waves
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