Deconstructing plane anisotropic elasticity: Part II: Stroh's formalism sans frills

International Journal of Solids and Structures

Volumn 37, Issue 38, 2000, Pages 5277-5296

  Yin, Wan Lee ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Anisotropic elasticity; Barnett Lothe tensors; Degenerate materials; Lekhnitskii's formalism; Stroh's formalism

Indexed keywords

ANISOTROPY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; STIFFNESS; TENSORS; VECTORS;

ANISOTROPIC ELASTICITY; BARNETT-LOTHE TENSORS; DEGENERATE MATERIALS; LEKHNITSKII FORMALISM; STROH FORMALISM;

ELASTICITY;

EID: 0033705639     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00215-2     Document Type: Article

References (10)

1. Barnett D.M., Kirchner H.O.K. A proof of the equivalence of the Stroh and Lekhnitskii sextic equations for plane aniostropic elastostatics. Phil. Mag. 76:1997;231-239.
2. Lekhnitskii S.G. Theory of Elasticity of an Anisotropic Body. 1963;Holden-Day, San Francisco.
3. Stroh A.N. Dislocations and cracks in anisotropic elasticity. Phil. Mag. 3:1958;625-646.
4. Ting T.C.T. Anisotropic Elasticity: Theory and Applications. 1996;Oxford University Press, New York.
5. Ting T.C.T. Existence of an extraordinary degenerate matrix N for anisotropic elastic materials. Q. J. Mech. Appl. Math. 49:1996;405-417.
6. Ting T.C.T. On the extraordinary semisimple matrix N( ν ) for anisotropic elastic materials. Q. Appl. Math. 55:1997;723-738.
7. Ting T.C.T. A modified Lekhnitskii formalism a la Stroh for anisotropic elasticity and classification of the 6 × 6 matrix N. Proc. Roy. Soc. London. A455:1999;69-89.
8. Ting T.C.T., Hwu C. Sextic formalism in anisotropic elasticity for almost non-semisimple matrix N. Int. J. Solids Struc. 24:1988;65-76.
9. Ting T.C.T., Lee V.-G. The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids. Q. J. Mech. Appl. Math. 50:1996;407-426.
10. W.-L. Yin (1997), A general analysis method for singularities in composite structures. In: Proceedings AIAA/ASME/ASCE/AHS/ASC 38th Structures, Structural Dynamics and Materials Conference, April 7-10, 1997 Kissimere, FL., 2238-2246.