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

Li Hao Zhong; Wei-fang; Li Gong-fu

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(6): 489-498

Li Hao Zhong, Wei-fang, Li Gong-fu. On the Method of Equivalent Inclusions in Elastodynamics and the Scattering Fields of Two Ellipsoidal Inhomogeneities[J]. Applied Mathematics and Mechanics, 1985, 6(6): 489-498.

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

Huazhong University of Science and Technology, Wuhan

Received Date: 1984-07-10
Publish Date: 1985-06-15

Abstract

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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References(13)

References

[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．