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TECHNICAL PAPERS

Degeneracy, Derivative Rule, and Green’s Functions of Anisotropic Elasticity

[+] Author and Article Information
Wan-Lee Yin

School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0355e-mail: wy3@ce.gatech.edu

J. Appl. Mech 71(2), 273-282 (May 05, 2004) (10 pages) doi:10.1115/1.1687388 History: Received June 02, 2003; Revised October 02, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen.
Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco.
Ting, T. C. T., 1996, Anisotropic Elasticity: Theory and Application, Oxford University Press, New York.
Yin,  W.-L., 2000, “Deconstructing Plane Anisotropic Elasticity, Part I: The Latent Structure of Lekhnitskii’s Formalism,” Int. J. Solids Struct., 37, pp. 5257–5276.
Yin,  W.-L., 2000, “Deconstructing Plane Anisotropic Elasticity, Part II: Stroh’s Formalism Sans Frills,” Int. J. Solids Struct., 37, pp. 5277–5296.
Stroh,  A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Phil. Mag.,3, pp. 625–646.
Ting,  T. C. T., and Hwu,  C., 1988, “Sextic Formalism in Anisotropic Elasticity for Almost Non-Semisimple Matrix N ,” Int. J. Solids Struct., 24, pp. 65–76.
Wang,  Y. M., and Ting,  T. C. T., 1997, “The Stroh Formalism for Anisotropic Materials That Possess an Almost Extraordinary Degenerate Matrix N ,” Int. J. Solids Struct., 34, pp. 401–413.
Yin, W.-L., 1997, “A General Analysis Method for Singularities in Composite Structures,” Proc. AIAA/ASME/ASCE/AHS/ASC 38th Structures, Structural Dynamics and Materials Conference, Apr. 7–10, Kissimere, FL, ASME, New York, pp. 2238–2246.
Ting,  T. C. T., 1999, “A Modified Lekhnitskii Formalism a la Stroh for Anisotropic Elasticity and Classification of the 6×6 Matrix N ,” Proc. R. Soc. London, Ser. A, 455, pp. 69–89.
Ting,  T. C. T., 1Anatomy of Green’s Functions for Line Forces and Dislocations in Anisotropic Media and Degenerate Material992, “ s,” The Jens Lothe Symposium Volume, Phys. Scr., T44 , pp. 137–144.
Yin,  W.-L., 2003, “Anisotropic Elasticity and Multi-Material Singularities ,” J. Elast., 71, pp. 263–292.
Yin, W.-L., 2004, “Green’s Functions of Bimaterials Comprising All Cases of Material Degeneracy,” submitted for publication in Int. J. Solids Struct.
Yin,  W.-L., 2003, “General Solution of Laminated Anisotropic Plates,” ASME J. Appl. Mech., 70, pp. 496–504.
W.-L.,  Yin, 2003, “Structure and Properties of the Solution Space of General Anisotropic Laminates,” Int. J. Solids Struct., 40, pp. 1825-1852.

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