Theoretical Study on Elastic Wave Propagation in Inhomogeneous Media.

本文的研究目的是分析非均匀弹性介质中低速区的波能关闭。我们计划了两个步骤；1)建立了基于弹性波理论的低速区关闭能量分析方法，并分析了其产生机理。2)阐明材料性质对关闭能的影响。研究结果总结如下：1)发展了P波、SV波和sh波三波的分析技术。(1)非均匀弹性半空间纵向剪力的非稳态响应（1报告；长时间解；2报告；短时间解）。(2)考虑密度谐波变化的非均匀弹性介质中的平面P波和sv波。(3)非均匀弹性介质中的轴向横波。(3)非均匀弹性介质中的轴向横波。将该技术应用于(4)同步带的研究（参数激励下同步带受迫横向振动的理论分析）。(5)弹性半空间表面具有谐波的往复反平面剪切荷载。采用分段连续弹性介质分析了材料性能的影响。这是层压板复合材料。(1)键合两种不同弹性固体在移动位错作用下的动态界面应力（第1篇报告；螺旋位错的稳态响应；第2篇报告；边缘位错的稳态响应）。(2)弹性复合材料对沿界面移动的界面位错的瞬态响应（第1报告；反平面变形；第2报告；扭转变形）。以上论文均已在相关研究期刊上发表或投稿。我们将继续和发展我们的研究项目，并希望感谢在过去的三年里对科研的支持。

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.