弹性动力学的等效内含物法和两椭球异质体的散射场

李灏; 钟伟芳; 李功赋

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弹性动力学的等效内含物法和两椭球异质体的散射场

华中工学院

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- 文章访问数: 2167
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出版历程
- 收稿日期: 1984-07-10
- 刊出日期: 1985-06-15

On the Method of Equivalent Inclusions in Elastodynamics and the Scattering Fields of Two Ellipsoidal Inhomogeneities

Huazhong University of Science and Technology, Wuhan

摘要

摘要: 用Gurtin变分原理推导了一般线弹性动力学的多异质体问题的等效性方程.用“等效内含物法”求得两椭球异质体对入射弹性波的散射场和散射横截面的近似表达式,并给出了计算实例.

Abstract: Gurtin's variational principle is used to derive the equivalence equalions for general linear elastodynamical problems of multiple inhomogeneities. An approximate expression on scattering field of two ellipsoidal inhomogeneities is obtained by the method of equivalent inclusions. And some numerical examples are presented.

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参考文献(13)

[1]	Ying. C. F.,R. Truell. Scattering of a plane longitudinal wave by a spherical obstacle in an isotropically elastic solid. J. App. Phys., 27, 9 (1956), 1086-1097.
[2]	Einspruch. N. G., E.J. Witterholt. R. Truell. Scattering of a plane transverse wave by a spherical obstacle in an elastic medium. J. App. Phys.,31, 5 (1960),806-818.
[3]	Johnson. G.,R. Truel. Numerical computations of elastic scattering cross section, J. App.Phys.36, 11(1965),3466-3475.
[4]	Mal, A. K., L. Knopoff,Elastic wave velocities in two-component systems. J. Inst, Math.Applics.,3 (1967), 376-387.
[5]	Gubernatis. J. E.,E. Domang, J. A. Krumhansl. Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials, J. App.Phys.,48, 7 (1977),2804-2811.
[6]	Gubernatis. J. E.,E. Domany.J. A. Krumhansl.M, Huberman. The born approximation in the theory of the scattering of elastic waves by flaws. J. App. Phys, 48, 7 (1977), 2812-2819.
[7]	Wheeler. P., T. Mura. Dynamic equivalence of composite material and eigenstrain problems.J. App.Mechanics. ASME, 40 (1973), 498-502.
[8]	Fu. L. S., T. Mura. The determination of elastodynamic fields of an ellipsoidal inhomogeneity. J. App. Mechanics, ASME. 50 (1983). 390-396.
[9]	钟伟芳、李功赋,用等效内含物法分析两椭球异质体的弹性动力学问题,硕士论文,华中工学院(1984),5.
[10]	李濒、钟伟芳、李功赋,用位势理论计算与异质体的弹性动力学问题有关的体积分,(待发表).
[11]	Eshelby.J. D.,The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceedings of the Royal Society,London,241 (1957).
[12]	Moschovidis. Z. A.,T. Mora, Two-ellipsoidal inhomogeneities by the equivalent inclusion method, ASME J.App.Mechanics.42 (1975). 847-852.
[13]	Gurtin. M. E.,Variational principles for linear elastodynamics. Archire for Rational Mechanics and Analysis, 16, 1(1964). 34．

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文章访问数: 2167
HTML全文浏览量: 147
PDF下载量: 565
被引次数: 0

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弹性动力学的等效内含物法和两椭球异质体的散射场

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出版历程

On the Method of Equivalent Inclusions in Elastodynamics and the Scattering Fields of Two Ellipsoidal Inhomogeneities

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出版历程

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