WAVE PROPAGATION IN THE ANISOTROPIC INHOMOGENEOUS HALF-PLANE

机译：各向异性非均质半平面中的波传播

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摘要

This study presents closed-form solutions for free-field motions in an anisotropic continuously inhomogeneous half-plane that includes contributions of incident waves as well as of waves reflected from the traction free horizontal surface. A state of plane strain holds and both pressure and vertically polarized shear waves are considered. Anisotropic material characteristics vary quadratically with respect to the depth coordinate. The method of solution is a hybrid approach based on the plane wave decomposition technique, augmented by appropriate functional transformation relations for the displacement vector. The existence of a unique analytical solution as a superposition of the incident P- or SV-wave and the corresponding reflected P- and SV-waves is proved under some restrictions on the incident wave direction. The simulation study reveals the influence of the material inhomogeneity and anisotropy on the displacement free field wave motion.

机译：这项研究提出了各向异性连续非均匀半平面中自由场运动的封闭形式解，其中包括入射波以及从无牵引水平表面反射的波的贡献。保持平面应变的状态，同时考虑了压力波和垂直极化的剪切波。各向异性材料特性相对于深度坐标呈二次方变化。解决方法是一种基于平面波分解技术的混合方法，并通过适当的位移向量函数变换关系进行了增强。在入射波方向受到一定限制的情况下，证明了存在独特的解析解作为入射P波或SV波以及相应的反射P波和SV波的叠加。仿真研究揭示了材料的不均匀性和各向异性对位移自由场波运动的影响。

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来源
《Coupled site and soil-structure interaction effects with application to seismic risk mitigation》|2008年|43-52|共10页
会议地点 Borovets(BG)
作者
Tsviatko Rangelov; Petia Dineva;
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作者单位

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences,Acad. G. Bonchev St., Bl. 8, 1113 Sofia, Bulgaria;

Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., Bl. 4, 1113 Sofia, Bulgaria;

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原文格式 PDF
正文语种 eng
中图分类
关键词
anisotropic half-plane; quadratic inhomogeneity; free field motion;

机译：各向异性半平面二次不均匀自由场运动;

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专利

1. SH-wave propagation in a continuously inhomogeneous half-plane with free-surface relief by BIEM [J] . Wuttke Frank, Fontara Ioanna-Kleoniki, Dineva Petia, Zeitschrift fur Angewandte Mathematik und Mechanik . 2015,第7期

机译：BIEM在具有自由表面起伏的连续非均匀半平面中传播SH波
2. Wave propagation in a restricted class of orthotropic inhomogeneous half-planes [J] . Rangelov T.V., Manolis G.D., Dineva P.S. Acta Mechanica . 2010,第1a2期

机译：波在正交各向异性非均匀半平面的受限类中的传播
3. Wave propagation in a restricted class of orthotropic inhomogeneous half-planes [J] . Tsviatko V. Rangelov, George D. Manolis, Petia S. Dineva Acta Mechanica . 2010,第1a2期

机译：在正交各向异性非均匀半平面的受限类中的波传播
4. WAVE PROPAGATION IN THE ANISOTROPIC INHOMOGENEOUS HALF-PLANE [C] . Tsviatko Rangelov, Petia Dineva NATO advanced research workshop on coupled site and soil-structure interaction effects with application to seismic risk mitigation . 2009

机译：各向异性不均匀半平面中的波传播
5. Propagation of elastic waves through inhomogeneous, anisotropic materials. [D] . Minachi, Ali. 1992

机译：弹性波通过非均质各向异性材料的传播。
6. Anisotropic propagation of Ca2+ waves in isolated cardiomyocytes. [O] . J Engel, M Fechner, A J Sowerby, 1994

机译：Ca2 +波在离体心肌细胞中的各向异性传播。
7. Propagation of elastic waves through inhomogeneous, anisotropic materials [O] . Minachi, Ali 1992

机译：弹性波在非均质各向异性材料中的传播
8. Propagation of elastic waves through inhomogeneous, anisotropic materials [R] . Minachi, A 1992

机译：弹性波通过不均匀的各向异性材料传播

WAVE PROPAGATION IN THE ANISOTROPIC INHOMOGENEOUS HALF-PLANE

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