Green's functions for a bi-material problem with interfacial elliptical rigid inclusion and applications to crack and thin rigid line problems

International Journal of Solids and Structures

Volumn 42, Issue 5-6, 2005, Pages 1513-1535

  Prasad, P B N ^a   Hasebe, Norio ^a   Wang, X F ^a   Shirai, Y ^b  

^a NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

^b Shizuoka Prefectural Government   (Japan)

Author keywords

Bi material; Complex variable; Crack; Green's functions; Rigid

Indexed keywords

BONDING; COMPUTER SIMULATION; CONFORMAL MAPPING; CRACKS; GREEN'S FUNCTION; INCLUSIONS; INTERFACES (MATERIALS); PROBLEM SOLVING; STRESS INTENSITY FACTORS;

BI-MATERIALS; COMPLEX VARIABLES; RIGID INCLUSION; RIGID LINE PROBLEMS;

BIMETALS;

EID: 9944264958     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.07.014     Document Type: Article

References (30)

1. Ballarini, R., 1990. A rigid line inclusion at a bimaterial interface. Engineering Fracture Mechanics 37 (1), 1-5.
2. Boniface, V., Hasebe, N., 1998. Solution of the displacement boundary value problem of an interface between two dissimilar half-planes and a rigid elliptic inclusion at the interface. ASME Journal of Applied Mechanics 65, 880-888.
3. Cheesman, B.A., Santare, M.H., 2000. The interaction of a curved crack with a circular elastic inclusion. International Journal of Fracture 103, 259-277.
4. Chen, Y.Z., Hasebe, N., 1992. An alternative Fredholm integral equation approach for multiple crack problems and multiple rigid line problems in plane elasticity. Engineering Fracture Mechanics 43 (2), 257-268.
5. Chen, Y.Z., Hasebe, N., Lee, K.Y., 2003. Multiple Crack Problems in Elasticity. WIT Press, Southampton, UK.
6. Cheung, Y.K., Chen, Y.Z., 1989. Multiple rigid line problems in an infinite plate. Engineering Fracture Mechanics 34 (2), 379-391.
7. Dundurs, J., Markenscoff, X., 1989. A Green's function formulation of anticracks and their interaction with load-induced singularities. ASME Journal of Applied Mechanics 56, 550-555.
8. England, A.H., 1965. A crack between dissimilar media. ASME Journal of Applied Mechanics 32, 400-402.
9. Erdogan, F., 1965. Stress distribution in bonded dissimilar materials with cracks. ASME Journal of Applied Mechanics 32, 403-410.
10. Erdogan, F., Gupta, G.D., Cook, T.S., 1973. In: Sih, G.C. (Ed.), Numerical Solution of Singular Integral Equations. Noordhoff, Leyden, pp. 369 -425 (Chapter 7).
11. Hasebe, N., Inohara, S., 1980. Stress analysis of a semi-infinite plate with an oblique edge crack. Ingenieur Archiv 49, 51-62.
12. Hasebe, N., Takeuchi, T., 1985. Stress analysis of a semi-infinite plate with a thin rigid body. International Journal of Engineering Science 23 (5), 531-539.
13. Hasebe, N., Tsutsui, S., Nakamura, T., 1988. Debondings at a semielliptic rigid inclusion on the rim of a half plane. ASME Journal of Applied Mechanics 55, 574-579.
14. Hasebe, N., Okumura, M., Nakamura, T., 1990. Partially bonded bimaterial plane under tension. ASCE Journal of Engineering Mechanics 116 (9), 2017-2034.
15. Hasebe, N., Irikura, H., Nakamura, T., 1991. A solution of the mixed boundary value problem for an infinite plate with a hole under uniform heat flux. ASME Journal of Applied Mechanics 113, 996-1000.
16. Hasebe, N., Okumura, M., Nakamura, T., 1992. Bonded bi-material half-planes with semi-elliptical notch under tension along the interface. ASME Journal of Applied Mechanics 59, 77-83.
17. Hasebe, N., Qian, J., Chen, Y.Z., 1996. Fundamental solutions for half plane with an oblique edge crack. Engineering Analysis with Boundary Elements 17, 263-267.
18. Hasebe, N., Wang, X.F., Kondo, M., 2003a. Green's functions for plane problem under various boundary conditions and applications. International Journal of Solids and Structures 40, 5037-5049.
19. Hasebe, N., Wang, X.F., Kondo, M., 2003b. Interaction between crack and arbitrarily shaped hole with stress and displacement boundaries. International Journal of Fracture 119, 83-102.
20. Helsing, J., 1999. Stress intensity factor for a crack in front of an inclusion. Engineering Fracture Mechanics 64, 245-253.
21. Markenscoff, X., Ni, L., Dundurs, J., 1994. The interface anticrack and Green's functions for interacting anticracks and cracks/anticracks. ASME Journal of Applied Mechanics 61, 797-802.
22. Markenscoff, X., Ni, L., 1996. The debonded interface anticrack. ASME Journal of Applied Mechanics 63, 621-627.
23. Murakami, Y. et al., 1992. Stress Intensity Factors Handbook. Elsevier Science, New York.
24. Muskhelishvili, N.I., 1963. Some Basic Problems of the Mathematical Theory of Elasticity, fourth ed. Noordhoff, The Netherlands.
25. Prasad, P.B.N., Hasebe, N., Wang, X.F., Shirai, Y., 2004a. Green's function of a bi-material problem with a cavity on the interface. Part 1: Theory. ASME Journal of Applied Mechanics, in press.
26. Prasad, P.B.N., Hasebe, N., Wang, X.F., 2004b. Interaction between interfacial cavity/crack and internal crack, part 2: simulation. ASME Journal of Applied Mechanics, in press.
27. Rice, J.R., Sih, G.C., 1965. Plane problems in dissimilar media. ASME Journal of Applied Mechanics 32, 418-423.
28. Rice, J.R., 1988. Elastic fracture mechanics concepts for interfacial cracks. ASME Journal of Applied Mechanics 55, 98-103.
29. Theotokoglou, E.N., Theotokoglou, E.E., 2002. The interface crack along a circular inclusion interacting with a crack in the infinite matrix. International Journal of Fracture 116 (1), 1-23.
30. Williams, M.L., 1959. The stress around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49, 199-204.