Degeneracy, derivative rule, and Green's functions of anisotropic elasticity

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 2, 2004, Pages 273-282

  Yin, Wan Lee ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC ELASTICITY; EIGENSOLUTIONS; NONDEGENERATE MATERIALS;

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; GREEN'S FUNCTION; STIFFNESS; STRESS ANALYSIS;

ANISOTROPY;

EID: 5644227645     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1687388     Document Type: Article

References (15)

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3. Ting, T. C. T., 1996, Anisotropic Elasticity: Theory and Application, Oxford University Press, New York.
4. 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.
5. Yin, W.-L., 2000, "Deconstructing Plane Anisotropic Elasticity, Part II: Stroh's Formalism Sans Frills," Int. J. Solids Struct., 37, pp. 5277-5296.
6. Stroh, A. N., 1958, "Dislocations and Cracks in Anisotropic Elasticity," Phil. Mag., 3, pp. 625-646.
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9. 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.
10. 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.
11. Ting, T. C. T., 1 Anatomy 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.
12. Yin, W.-L., 2003. "Anisotropic Elasticity and Multi-Material Singularities," J. Elast., 71. pp. 263-292.
13. Yin, W.-L., 2004, "Green's Functions of Bimaterials Comprising All Cases of Material Degeneracy," submitted for publication in Int. J. Solids Struct.
14. Yin, W.-L., 2003, "General Solution of Laminated Anisotropic Plates," ASME J. Appl. Mech., 70, pp. 496-504.
15. Yin, W.-L., 2003, "Structure and Properties of the Solution Space of General Anisotropic Laminates," Int. J. Solids Struct., 40, pp. 1825-1852.