Bending of a thin plate containing a rigid inclusion and a crack

Engineering Analysis with Boundary Elements

Volumn 24, Issue 2, 2000, Pages 145-153

  Wang, X F ^a   Hasebe, N ^a  

^a NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); CRACKS; INCLUSIONS; INTEGRAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); STRESS INTENSITY FACTORS;

THIN PLATE BENDING;

BOUNDARY ELEMENT METHOD;

EID: 0033879671     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(99)00062-4     Document Type: Article

References (31)

1. Mura T. Micromechanics of defects in solids. 2nd Ed. 1987;M. Nujhoff, Dordrecht.
2. Erdogan F., Gupta G.D., Ratwani M. Interaction between a circular inclusion and an arbitrarily oriented crack. Transactions of the ASME Journal of Applied Mechanics: Series E. 41:(4):1974;1007-1013.
3. Erdogan F., Gupta G.D. The inclusion problem with a crack crossing the boundary. International Journal of Fracture. 11:(1):1975;13-27.
4. Patton E.M., Santare M.H. The effect of a rigid elliptical inclusion on a straight crack. International Journal of Fracture. 46:(1):1990;71-79.
5. Hwu C.B., Liang Y.K., Yen W.J. Interactions between inclusions and various types of cracks. International Journal of Fracture. 73:(4):1995;301-323.
6. Wang R., Hasebe N. The interacting stress field around a composite crack with a misfitting inclusion. International Journal of Fracture. 81:(4):1996;163-170.
7. Lee J., Mal A. A volume integral equation technique for multiple inclusion and crack interaction problems. ASME Journal of Applied Mechanics. 64:(1):1997;23-31.
8. Chen D.H., Nakamichi S. Plane problem of cracks generated form the interface of an elliptical inclusion. Transactions of the JSME International Journal: Series A. 40:(3):1997;275-282.
9. Chen D.H., Nakamichi S. Stress intensity factors for an interface crack along an elliptical inclusion. International Journal of Fracture. 82:(2):1996;131-152.
10. England A.H. An arc crack around a circular elastic inclusion. Transactions of the ASME Journal of Applied Mechanics: Series E. 33:(3):1966;637-640.
11. Herrmann J.M. The limitations of the model of a crack along the interface of an inclusion in an elastic matrix. International Journal of Solids and Structures. 28:(8):1991;1023-1039.
12. Toya M. A crack along the interface of a circular inclusion embedded in an infinite solid. Journal of Mechanics and Physics of Solids. 22:(5):1974;325-348.
13. Toya M. Debonding along the interface of an elliptic rigid inclusion. International Journal of Fracture. 11:(6):1975;989-1002.
14. Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity. 1963;Noordhoff, Groningen.
15. England A.H. Complex variable methods in elasticity. 1971;Wiley, London.
16. Savin G.N. Stress concentration around holes. 1st Edition :1961;Pergamon Press, Oxford. translated by E. Gros.
17. Gdoutos E.E., Kattis M.A. Patially bonded rigid round-off corners polygonal inclusions in an elastic matrix. International Journal of Fracture. 43:1990;133-159.
18. Pengfei H., Ishikawa H. Analysis of the orders of stress singularity at the corner point of a diamond-shape rigid inclusion or hole in an infinite plate under anti-plane bending by conformal mapping. International Journal of Engineering Science. 11:1995;1535-1546.
19. Hasebe N., Inohara S. Stress analysis of a semi-infinite plate with an oblique edge crack. Ingenieur-Archiv. 49:1980;51-62.
20. Hasebe N., Okumura M., Nakamura T. Frictional punch and crack in plane elasticity. Journal of Engineering Mechanics: ASCE. 115:(6):1989;1137-1147.
21. Salama M., Hasebe N. Thin plate bending of dissimilar half-planes with interface debonding emanating form an elliptical hole. International Journal of Fracture. 74:1995;199-218.
22. Hasebe N., Chen Y.Z. Stress intensity solution for the interaction between a hole edge crack and a line crack. International Journal of Fracture. 77:1996;351-366.
23. Hasebe N., Qian J. Circular rigid punch with one smooth and another sharp ends on a half-plane with edge crack. ASME Journal of Applied Mechanics. 64:1997;73-79.
24. Hasebe N., Ueda M., Kojima K., Nakamura T. A mixed boundary value problem with stress and two displacement boundaries for a plane elasticity. Proceedings of JSCE. 450:(I-20):1992;113-120. (in Japanese).
25. Ueda M., Hasebe N., Kojima K., Nakamura T. Fracture mechanical study on properties of the debonding propagation at interface of the rhombic rigid inclusion. Proceedings of JSCE. 455:(I-21):1992;45-54. (in Japanese).
26. Sih G.C. Strain energy density theory applied to plate bending problems. Sih G.C. Mechanics of fracture III. Plates and shells with cracks. 1977;XVII-XLVIII Noordhoff International, Leyden.
27. Ishida M. Interaction of arbitrary array of cracks in wide plates under classical bending. Sih G.C. Mechanics of fracture III. Plates and shells with cracks. 1977;1-43 Noordhoff International, Leyden.
28. Ishida M. Method of Laurent expansion for internal crack problems. Sih G.C. Mechanics of fracture I. Methods of analysis and solutions of crack problems. 1973;56-130 Noordhoff International, Leyden.
29. Chen Y.Z. Multiple crack problems of antiplane elasticity in an infinite body. Engineering Fracture Mechanics. 20:1984;767-776.
30. Erdogan F., Gupta G.D., Cook T.S. Numerical solution of singular equations. Sih G.C. Mechanics of fracture I. Methods of analysis and solutions of crack problems. 1973;368-425 Noordhoff International, Leyden.
31. Panasyuk V.V., Savruk M.P., Datsyshyn A.P. A general method of solution of two-dimensional problems in the theory of cracks. Engineering Fracture Mechanics. 9:1977;481-497.