Some crack problems in transversely isotropic solids

Acta Mechanica

Volumn 170, Issue 1-2, 2004, Pages 1-9

  Chiang, C R ^a,b  

^a National Tsing Hua University ^*

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; ELASTICITY; INCLUSIONS; NUMERICAL ANALYSIS; SHEAR STRESS; STRESS INTENSITY FACTORS; SURFACE PHENOMENA; TENSORS;

GRIFFITH ENERGY CRITERION; ISOTROPIC SOLIDS; ORTHOTROPIC MEDIA;

CRACKS;

EID: 3142658209     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-004-0114-1     Document Type: Article

References (17)

1. Sack, R. A.: Extension of Griffith's theory of rupture to three dimensions. Proc. Phys. Soc. 58, 729-736 (1946).
2. Griffith, A. A.: The phenomena of rupture and flow in solids. Phil. Trans. Royal Soc. London A221, 163-197 (1921).
3. Fabrikant V. I.: Penny-shaped crack revisited: closed-form solution. Phil. Mag. 56, 191-207 (1987).
4. Panasyuk, V. V., Andrejkiv, A. E., Stadnik, M. M.: Three-dimensional static crack problems solution (a review). Engng Fract. Mech. 14, 245-260 (1981).
5. Kassir M. K., Sih, G. C.: Three-dimensional crack problems. Leyden: Noordhoff 1975.
6. Eshelby, J. D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. Roy. Soc. London A241, 376-396 (1957).
7. Sih, G. C., Leibowitz, H.: Mathematical theories of brittle fracture. In: Fracture II (Leibowitz, H., ed.). New York: Academic Press 1968.
8. Lekhnitskii, S. G.: Anisotropic plate. New York: Gorden and Breach 1968.
9. Pan, Y. C., Chou, T. W.: Point force solution for an infinite transversely Isotropic solid. J. Appl. Mech. 43, 608-612 (1976).
10. Withers, P. J.: The determination of the elastic field of an ellipsoidal inclusion in a transversely isotropic medium and its relevance to composite materials. Phil. Mag. A59, 759-781 (1989).
11. Chiang, C. R.: Stress concentration around a strongly oblate spheroidal cavity in a transversely isotropic medium. Int. J. Fract. 119, L91-L97 (2003).
12. Segedin, C. M.: Note on a penny-shaped crack under shear. Proc. Camb. Phil. Soc. 47, 396-400 (1951).
13. Irwin, G. R.: Analysis of stress and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361-364 (1975).
14. Bueckner, H. F.: Field singularities and related integral representations. In: Mechanics of fracture I. Method of analysis and solutions of crack problems (Sih, G. C., ed.). Groningen: Noordhoff 1972.
15. Rice, J. R.: Some remarks on elastic crack tip fields. Int. J. Solids Struct. 8, 751-758 (1972).
16. Chiang, C. R.: A penny-shaped crack in a hexagonal single crystal under shear stress and its incipient plastic zone. In: Dislocations, plasticity and metal forming (Khan, A. S., ed.). Maryland: NEAT Press 2003.
17. Reid, C. N.: Deformation geometry for materials scientists. Oxford: Pergamon Press 1973.