Theoretical Study on Elastic Wave Propagation in Inhomogeneous Media.

本文研究的目的是分析非均匀弹性介质中波能在低速区的闭合问题。我们计划了这两个步骤; 1）基于弹性波理论，建立了低速区能量封闭的分析方法，并分析了低速区能量封闭的机理。2)阐明了材料性能对关断能量的影响。主要结果如下：1）建立了P波、SV波和SH波三种波情况下的解析方法。(1)非均匀弹性半空间中纵向剪切力的非稳态响应（第一份报告;长期解;第二份报告;短期解）。（2）非均匀弹性梅里亚中的平面P波和SV波。(3)非均匀弹性介质中的轴向剪切波。(3)非均匀弹性介质中的轴向剪切波。所发展的技术已应用于（4）同步带的研究（参数激励下同步带强迫横向振动的理论分析）。(5)弹性半空间表面受往复反平面剪切载荷的简谐振动，采用分段连续弹性介质分析了材料特性的影响。这是用于层压复合材料。(1)两种不同弹性固体对运动位错的动态界面应力（第一次报告;对螺型位错的稳态响应，第二次报告;对刃型位错的稳态响应）。(2)弹性复合材料对沿界面沿着移动的界面位错的瞬态响应（第一次报告;反平面变形，第二次报告;扭转变形）。我们将继续和发展我们的研究项目以后，并希望表示感谢的支持，在资助科学研究，通过三年。

It is the purpose of our study to analyze shutting of wave energy in low velocity zone in inhomogeneous elastic media. We planed the two steps; 1)develope the analytical method for shutting energy in low velocity zone and analyze its mechanism based on the theory of elastic waves. 2) clarify the effect of material property on the shutting energy. The results are summerized as follows; 1) analytical techniques are developed for the case of three waves, P, SV and SH-waves.(1) Non-Steady Response for longitudinally Shear Force in Inhomogeneous Elastic Half Space(Ist Report; Long-Time solution, 2nd Report; Short-Time Solution). (2)Plane P and SV-Waves in Inhomogeneous Elastic Meria with Harmonic variation of Density. (3) Axial Shear Wave in Inhomogeneous Elastic Media. (3) Axial Shear Wave in Inhomogeneous Elastic Media. An application of the developed technique is made for (4) A Study on Timing Belt(Theoratical Analysis for Forced Transverse Vibration of Timing Belt with Parametric Excitation). (5) A Reciprocating Antiplane Shear Load with Harmonic Vibration on the surface of an Elastic Half Space.The effect of material property is analyzed by using piecewise contineous elestic media. That is for laminate composites. (1) Dynamic Interfacial Stress in Bonded Two-Dissimilar Elastic Solids to a Moving Dislocation (lst Report; Steady-State Response to a Screw Dislocation, 2nd Report; Steady-State Response to a Edge Dislocation). (2) Transient Response of elastic Composites to an Interfacial Dislocation Moving along the Interface (lst Report; Antiplane Deformation, 2nd Report; Torsional Deformation).All of the above papers have been published or have been submitted in the research journals. We shall continue and develope our research project hereafter, and wish to express thanks for the support of Grand-in-Aid for Scientific reseach, through the three years.