Hypersingular integral equation for multiple curved cracks problem in plane elasticity

International Journal of Solids and Structures

Volumn 46, Issue 13, 2009, Pages 2611-2617

  Nik Long, N M A ^a   Eshkuvatov, Z K ^a  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

Author keywords

Hypersingular integral equations; Multiple curved cracks; Stress intensity factor

Indexed keywords

COMPLEX VARIABLE FUNCTION METHODS; DOUBLE CIRCULAR ARCS; HYPERSINGULAR INTEGRAL EQUATIONS; IN-PLANE ELASTICITIES; MULTIPLE CURVED CRACKS; NUMERICAL EXAMPLES;

ASPHALT PAVEMENTS; ELASTICITY; INTEGRAL EQUATIONS; STRESS INTENSITY FACTORS;

CRACKS;

EID: 65349086246     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.02.008     Document Type: Article

References (20)

1. Beghini M., Bertini L., and Fontanari V. Stress intensity factors for an inclined edge crack in a semiplane. Engineering Fracture Mechanics 62 (1999) 607-613
2. Beghini M., Bertini L., and Fontanari V. Weight function for an inclined edge crack in a semi plane. International Journal of Fracture 99 (1999) 281-292
3. Beloserkovskii S.M., and Lifanov I.K. Numerical Methods in Singular Integral Equations (Russia) (1985), Nauka, Moscow
4. Chen Y.Z. Numerical solution of a curved crack problem by using hypersingular integral equation approach. Engineering Fracture Mechanics 46 2 (1993) 275-283
5. Chen Y.Z. A numerical solution technique of hypersingular integral equation for curved cracks. Communications in Numerical Methods in Engineering 19 (2003) 645-655
6. Chen Y.Z. Singular integral equation method for the solution of multiple curved crack problems. International Journal of Solids and Structures 41 (2004) 3505-3519
7. Chen Y.Z. Integral equation methods for multiple crack problems and related topics. Applied Mechanic Review 60 1-6 (2007) 172-194
8. Chen J.T., and Hong H.K. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Applied Mechanics Review, ASME 52 1 (1999) 17-33
9. Chen J.T., Kuo S.R., and Lin J.H. Analytical study and numerical experiments for degenerate scale problems in the boundary element method of two dimensional elasticity. International Journal of Numerical Methods in Engineering 54 (2002) 1669-1681
10. Chen Y.Z., Hasebe N., and Lee K.Y. Multiple Crack Problems in Elasticity (2003), WIT Press, Southampton
11. Cotterell B., and Rice J.R. Slightly curved or kinked cracks. International Journal of Fracture 16 20 (1980) 155-169
12. Hong H.K., and Chen J.T. Derivations of integral equations of elasticity. Journal of Engineering Mechanics 114 6 (1988) 1028-1044
13. Kachanov M. Elastic solids with many cracks: a simple method of analysis. International Journal of Solids and Structures 23 1 (1985) 23-43
14. Lifanov I.K., Poltavskii L.N., and Vainikko G.M. Hypersingular Integral Equations and Their Applications (2004), CRC Press, London
15. Martin P.A. Exact solution of a simple hypersingular integral equation. Journal of Integral Equations and Applications 4 2 (1992) 197-204
16. Martin P.A. Pertubed cracks in two dimensions: an integral-equation approach. International Journal of Fracture 104 (2000) 317-327
17. Mayrhofer K., and Fischer F.D. Derivation of a new analytical solution for a general two dimensional finite-part integral applicable in fracture mechanics. International Journal of Numerical Method in Engineering 33 (1992) 1027-1047
18. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity (1953), Noordhoff, Gronogen
19. Panasyuk V.V., Savruk M.P., and Datsyshyn A.P. A general method of solution of two dimensional problems in the theory of cracks. Engineering Fracture Mechanics 9 (1977) 481-497
20. Rice J.R. Some remarks on elastic crack-tip stress fields. International Journal of Solids and Structures 8 (1972) 751-758