On the numerical evaluation of stress intensity factors for an interface crack of a general shape

International Journal for Numerical Methods in Engineering

Volumn 44, Issue 5, 1999, Pages 729-741

  Helsing, Johan ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UPPSALA UNIVERSITY   (Sweden)

Author keywords

Composite materials; Integral equations of Fredholm type; Interface crack; Linear elasticity; Stress intensity factors

Indexed keywords

ALGORITHMS; COMPOSITE MATERIALS; ELASTICITY; INCLUSIONS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); STRESS ANALYSIS; STRESS INTENSITY FACTORS;

CRACK OPENING DISPLACEMENT; FREDHOLM TYPE INTEGRAL EQUATIONS;

CRACK PROPAGATION;

EID: 0033079731     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990220)44:5<729::AID-NME529>3.0.CO;2-A     Document Type: Article

References (17)

1. A. H. England, 'An arc crack around a circular elastic inclusion', J. Appl. Mech., 88, 637-640 (1966).
2. M. Toya, 'A crack along the interface of a circular inclusion embedded in an infinite solid', J. Mech. Phys. Solids, 22, 325-348 (1974).
3. M. Toya, 'Debonding along the interface of an elliptic rigid inclusion', Int. J. Fracture, 11, 989-1002 (1975).
4. D. -H. Chen and S. Nakamichi, 'Stress intensity factors for an interface crack along an elliptical inclusion', Int. J. Fracture, 82, 131-152 (1996).
5. N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff, Groningen, 1953.
6. S. G. Mikhlin, Integral Equations, Pergamon Press, London, 1957.
7. L. M. Milne-Thompson, Plane Elastic Systems, Springer, Berlin, 1968.
8. L. Greengard and J. Helsing, 'On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites', Courant Mathematics and Computing Laboratory, preprint 97-001, 1997.
9. J. Helsing and G. Peters, 'Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics', Department of Solid Mechanics KTH Report 98-219, 1998.
10. N. I. Muskhelishvili, Singular Integral Equations, P. Noordhoff, Groningen, 1953.
11. C. F. Shih, 'Cracks on bimaterial interfaces: elasticity and plasticity aspects', Mater. Sci. Engng. A, 143, 77-90 (1991)
12. Y. Saad and M. H. Schultz, 'GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems', SIAM J. Sci. Stat. Comput., 7, 856-869 (1986).
13. A. B. Perlman and C. G. Sih, 'Elastostatic problems of curvilinear cracks bonded in dissimilar materials', Int. J. Engng. Sci., 5, 845-865 (1967).
14. V. Rokhlin, 'Rapid solution of integral equations of classical potential theory', J. Comput. Phys., 60, 187-207 (1985).
15. L. Greengard and V. Rokhlin, 'A fast algorithm for particle simulations', J. Comput. Phys., 73, 325-348 (1987).
16. J. Carrier, L. Greengard and V. Rokhlin, 'A fast adaptive multipole algorithm for particle simulations', SIAM J. Sci. Stat. Comput., 9, 669-686 (1988).
17. J. Helsing, 'Evaluation of stress fields in cracked planar elastic media', Department of Solid Mechanics KTH Report 97-211, 1997.