期刊文献+

瞬态弹性波散射的变换域积分方程法

Integral Equation in Transformed Field for Instantaneous Elastic Wave Scattering
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摘要 针对瞬态弹性波散射的问题,从弹性动力学问题的积分表示定理出发,采用Laplace变换的方法,得到了变换域内均质体位移场的积分方程表示;在此基础上推导了适合瞬态弹性波对异质体散射求解的变换域位移场积分方程。 In this paper, according to the integral representation theorem of elastdynamies, an integral equation in transformed filed that represents the displacement field in homogeneous body has been deduced by using Laplace transform. Furthermore, an integral equation in transformed filed, which suited to calculate the instantaneous elastic wave scattering by a number of irregular scatterers embedded in an elastic body is derived.
作者 时刚 高广运
出处 《西北地震学报》 CSCD 北大核心 2006年第3期225-228,共4页 Northwestern Seismological Journal
基金 高等学校博士学科点专项科研基金(20050247030)
关键词 瞬态弹性波 散射 异质体 积分方程法 Elastic wave Scattering Irregular obstacle Integral equation
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参考文献6

  • 1Gubernatis J E,Domang E,Krumhansl J A.Formal aspect of the theory of the scattering of ultrasound by flaws in elastic materials[J].Journal applied physics,1977,48(7):2804-2811.
  • 2钟伟芳.异质体弹性动力学问题的积分方程法和散射场.华中工学院学报,1987,15(3):35-40.
  • 3钟伟芳 聂国华.含有两个异质体时弹性动力学问题在Born近似下的散射场.华中工学院学报,1987,15(3):41-41.
  • 4钟伟芳,聂国华.An integral equation of the scattering problem by many in-homogeneities and the scattered effect[J].Appl.Mech.,IAP Pergamon Press,1989,2:1003-1008.
  • 5高广运,李志毅,邱畅.弹性半空间不规则异质体引起的瑞利波散射[J].岩土工程学报,2005,27(4):378-382. 被引量:10
  • 6冯文杰,邹振祝,薛德庆.二维弹性波散射时域Born近似[J].工程力学,1999,16(5):17-20. 被引量:2

二级参考文献14

  • 1冯文杰,马兴瑞,邹振祝.缺陷识别中的逆Born近似方法[J].振动工程学报,1994,7(2):167-171. 被引量:10
  • 2李世雄.沿曲线族的Radon变换[J].地球物理学报,1990,33:69-80.
  • 3李世雄,地球物理学报,1990年,33卷,69页
  • 4Jain D L, Kanwal R P. Scattering of elastic waves by circular cylindrical flaws and inclusions [J]. J Appl Phys, 1979,50(6): 4067-4108.
  • 5Datta S K, Shah A H. Scattering of SH waves by embedded cavities [J]. Wave motion, 1982, 4: 265-283.
  • 6Bostrom A, Kristensson G Scattering of a pulsed Rayleigh wave by a spherical cavity in an elastic half space [J]. Wave motion, 1983, 5: 137-143.
  • 7Gautesen A K, Achenbach J D, Mcmaken H. Surface-wave rays in electrodynamics diffraction by cracks [J]. Journal of acoustic society of America, 1978, 63: 1828-1831.
  • 8Wheeler P, Mura T. Dynamic equivalent of composite material and eigenstraln problems[J].ASME Journal applied mechanic,1973, 40:498-502.
  • 9Gubematis J E, Domang E, Krumhansl J A. Formal aspect of the theory of the scattering of ultrasound by flaws in elastic materials [J]. Journal applied physics, 1977,48(7): 2804-2811.
  • 10钟伟芳.异质体弹性动力学问题的积分方程法和散射场.华中工学院学报,1987,15(3):35-40.

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