Frobenius' method for curved cracks

International Journal of Fracture

Volumn 139, Issue 1, 2006, Pages 59-69

  Ballarini, Roberto ^a   Villaggio, Piero ^b  

^a Case Western Reserve University   (United States)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

Curved crack; Frobenius' method; Stress intensity factors

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; NUMERICAL ANALYSIS; SOLIDS; STRESS CONCENTRATION; STRESS INTENSITY FACTORS;

CURVED CRACKS; FROBENIUS' METHOD; PLANE ELASTIC SOLID;

CRACKS;

EID: 33746421998     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-006-6730-0     Document Type: Article

References (9)

1. Brandinelli, L. (1997). Characterization of planar curvilinear cracks and development of a probabilistic crack propagation model for brittle materials. M.S. Thesis, Case Western Reserve University, OH.
2. Y.Z. Chen D. Gross Y.J. Huang 1991 Numerical solution of the curved crack problem by means of polynomial approximation of the disclocation distribution Engineering Fracture Mechanics 39 5 791-797 10.1016/ 0013-7944(91)90184-3
3. B. Cotterell J.R. Rice 1980 Slightly curved or kinked cracks International Journal of Fracture 16 2 155-169 10.1007/BF00012619
4. L. Dreilich D. Gross 1985 Der gekrümmte Riss Zeitschrift Fur Angewandte Mathematik und Mechanik 65 132-134
5. J. Dundurs G.P. Sendeckyj 1965 Behavior of an edge dislocation near a bimaterial interface Journal of Applied Physics 36 10 3353-3354 10.1063/ 1.1702981
6. Grigolyuk, E. and Tolkachev, V. (1987). Contact Problems in the Theory of Plates and Shells. Mir, Moscow.
7. Muskhelishvili, N.I. (1953). Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen.
8. L.R.F. Rose 1987 Crack reinforcement by distributed springs Journal of the Mechanics and Physics of Solids 35 4 383-405 0612.73105 900774 10.1016/0022-5096(87)90044-5
9. Savruk, M.P. (1981). Two-Dimensional Problems of Elasticity for Body with Crack. The University Press, Kiev (in Russian).