Elliptic crack in a transversely isotropic body revisited: New symbolism

Acta Mechanica

Volumn 172, Issue 3-4, 2004, Pages 181-193

  Fabrikant, V I ^a,b  

^a Archambault Jail ^*

^b Archambault Jail   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK OPENING; ELLIPSOIDAL COORDINATES; MATHEMATICAL SYMMETRY; TRANSVERSE ISOTROPY;

COMPUTATION THEORY; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PRESSURE EFFECTS; PROBLEM SOLVING;

CRACKS;

EID: 10644271628     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-004-0160-8     Document Type: Article

References (9)

1. Green, A. E., Sneddon, I. N.: The distribution of stress in the neighborhood of a flat elliptical crack in an elastic solid. Proc. Cambridge Phil. Soc. 46, 159-164 (1950).
2. Shield, R. T.: Notes on problems in hexagonal aeolotropic materials. Proc. Cambridge Phil. Soc. 47, 401-409 (1951).
3. Kassir, M. K., Sih, G.: Three-dimensional stresses around elliptical cracks in transversely isotropic solids. Eng. Fract. Mech. 1, 327-345 (1968).
4. Chen, W. T.: Some aspects of a flat elliptical crack under shear stress. J. Math. Phys. 45, 213-223 (1966).
5. Kassir, M. K., Sih, G.: Three-dimensional crack problems. Leyden: Noordhoff 1975.
6. Zhu, X. K., Liu, G. T., Chao, Y. J.: Three-dimensional stress and displacement fields near an elliptical crack front. J. Fract. 109, 383-401 2001.
7. Fabrikant, V. I.: Applications of potential theory in mechanics. Selection of new results. Dordrecht: Kluwer 1989.
8. Fabrikant, V. I.: Mixed boundary value problems of potential theory and their applications in engineering. Dordrecht: Kluwer 1991.
9. Lur'e, A. I.: Three-dimensional problems of the theory of elasticity. Moscow: 1955. English translation (J. R. M. Radok, ed.). New York: Interscience 1964.