On wrinkled penny-shaped cracks

Journal of the Mechanics and Physics of Solids

Volumn 49, Issue 7, 2001, Pages 1481-1495

  Martin, P A ^a  

^a Department of Geology and Geological Engineering   (United States)

Author keywords

B. Crack mechanics; Crack perturbation; Crack stability; Integral equations

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; PERTURBATION TECHNIQUES; STRESS INTENSITY FACTORS;

NOMINALLY FLAT PENNY-SHAPED CRACKS;

CRACK PROPAGATION;

EID: 0035400718     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(01)00004-7     Document Type: Article

References (21)

1. Cruse T.A. Numerical solutions in three dimensional elastostatics. Int. J. Solids Struct. 5:1969;1259-1274.
2. Gao H. Nearly circular shear mode cracks. Int. J. Solids Struct. 24:1988;177-193.
3. Gao H., Rice J.R. Somewhat circular tensile cracks. Int. J. Fracture. 33:1987;155-174.
4. Leblond J.-B., Mouchrif S.-E. The tensile tunnel-crack with a slightly wavy front. Int. J. Solids Struct. 33:1996;1995-2022.
5. Le Van A., Royer J. Integral equations for three-dimensional problems. Int. J. Fracture. 31:1986;125-142.
6. Martin P.A. Orthogonal polynomial solutions for pressurized elliptical cracks. Quart. J. Mech. Appl. Math. 39:1986;269-287.
7. Martin P.A. Orthogonal polynomial solutions for elliptical cracks under shear loadings. Quart. J. Mech. Appl. Math. 39:1986;519-534.
8. Martin P.A. Mapping flat cracks onto penny-shaped cracks: shear loadings. J. Mech. Phys. Solids. 43:1995;275-294.
9. Martin P.A. Mapping flat cracks onto penny-shaped cracks, with application to somewhat circular tensile cracks. Quart. Appl. Math. 54:1996;663-675.
10. Martin P.A. On potential flow past wrinkled discs. Proc. Roy. Soc. Ser. A. 454:1998;2209-2221.
11. Martin P.A. On the added mass of rippled discs. J. Eng. Math. 33:1998;421-435.
12. Martin P.A. Perturbed cracks in two dimensions: an integral-equation approach. Int. J. Fracture. 104:2000;317-327.
13. Martin, P.A., 2001. The spherical-cap crack revisited. Int. J. Solids Struct., to appear.
14. Martin P.A., Rizzo F.J. On boundary integral equations for crack problems. Proc. Roy. Soc. Ser. A. 421:1989;341-355.
15. Martin P.A., Rizzo F.J., Cruse T.A. Smoothness-relaxation strategies for singular and hypersingular integral equations. Int. J. Numer. Meth. Engng. 42:1998;885-906.
16. Martynenko M.A., Ulitko A.F. Stress state near the vertex of a spherical notch in an unbounded elastic medium. Sov. Appl. Mech. 14:1979;911-918.
17. Movchan A.B., Gao H., Willis J.R. On perturbations of plane cracks. Int. J. Solids Struct. 35:1998;3419-3453.
18. Rice J.R. Weight function theory for three-dimensional elastic crack analysis. Wei R.P., Gangloff R.P. Fracture Mechanics: Perspectives and Directions (Twentieth Symposium). ASTM STP 1020. 1989;29-57 American Society for Testing and Materials, Philadelphia.
19. Shliapoberskii Ia.V. Asymptotic solution of a three-dimensional problem of equilibrium of an elastic body with a cut. Appl. Math. Mech. (PMM). 42:1978;556-563.
20. Stephan E.P. A boundary integral equation method for three-dimensional crack problems in elasticity. Math. Meth. Appl. Sci. 8:1986;609-623.
21. Xu G., Bower A.F., Ortiz M. An analysis of non-planar crack growth under mixed mode loading. Int. J. Solids Struct. 31:1994;2167-2193.