The Stroh formalism for anisotropic materials that possess an almost extraordinary degenerate matrix N

International Journal of Solids and Structures

Volumn 34, Issue 4, 1997, Pages 401-413

  Wang, Y M ^a   Ting, T C T ^a  

^a University of Illinois at Chicago   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

ANISOTROPIC ELASTIC MATERIALS; EXTRAORDINARY DEGENERATE MATERIALS; STROH FORMALISM;

ELASTICITY;

EID: 0031075687     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00024-8     Document Type: Article

References (15)

1. Barnett, D. M. (1992). On the non-existence of subsonic boundary-polarized two-component free surface waves. Physica Scripta T44, 98-103.
2. Barnett, D. M. and Lothe, J. (1973). Synthesis of the sextic and the integral formalism for dislocation, Green's functions and surface waves in anisotropic elastic solids. Phys. Norv. 7, 13-19.
3. Barnett, D. M. and Lothe, J. (1974). An image force theorem for dislocations in anisotropic bicrystals. J. Phys. F. 4, 1618-1635.
4. Barnett, D. M. and Lothe, J. (1975). Line force loadings on anisotropic half-space and wedges. Phys. Norv. 8, 13-22.
5. Chadwick, P. and Smith, G. D. (1977). Foundations of the theory of surface waves in anisotropic elastic material. Adv. Appl. Mech. 17, 303-376.
6. Chadwick, P. and Ting, T. C. T. (1987). On the structure and invariance of the Barnett-Lothe tensors. Q. Appl. Math. 45, 419-427.
7. Eshelby, J. D., Read, W. T. and Shockley, W. (1953). Anisotropic elasticity with applications to dislocation theory. Acta Metall. 1, 251-259.
8. Ingebrigsten, K. A. and Tonning, A. (1969). Elastic surface waves in crystals. Phys. Rev. 184, 942-951.
9. Lothe, J. and Barnett, D. M. (1976). On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface. J. Appl. Phys. 47, 428-433.
10. Pease, III, M. C. (1965). Methods of Matrix Algebra, Academic Press, New York.
11. Ting, T. C. T. (1996). Existence of an extraordinary degenerate matrix N for anisotropic elastic materials. Q. J. Mech. Appl. Math. 49 (Pt3), August.
12. Ting, T. C. T. (1986). Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int. J. Solids Structures 22, 965-983.
13. Ting, T. C. T. (1992). Anatomy of Green's functions for line forces and dislocations in anisotropic media and in degenerate materials. Physica Scripta T44, 137-144.
14. Ting, T. C. T. and Hwu, Chyanbin. (1988). Sextic formalism in anisotropic elasticity for almost non-semisimple matrix N. Int. J. Solids Structures 24, 65-76.
15. Wang, Y. M. (1996). Two-dimensional problems of anisotropic elastic materials with an extraordinary degenerate matrix N. Ph.D. thesis, University of Illinois at Chicago.