Asymptotic stress and displacement fields near the cohesive zone ahead of a semi-infinite Mode III crack normal to a bimaterial interface are derived using elliptic coordinates.
Issue Section:
Technical Briefs
1.
Suo
, Z.
, 1990, “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media
,” Proc. R. Soc. London, Ser. A
1364-5021, A427
, pp. 331
–358
.2.
Zak
, A. R.
, and Williams
, M. L.
, 1963, “Crack Point Stress Singularities at a Bimaterial Interface
,” ASME J. Appl. Mech.
0021-8936, 30
, pp. 142
–143
.3.
Cook
, T. S.
, and Erdogan
, F.
, 1972, “Stresses in Bonded Materials With a Crack Perpendicular to the Interface
,” Int. J. Eng. Sci.
0020-7225, 10
, pp. 677
–697
.4.
Fenner
, D. N.
, 1976, “Stress Singularities in Composite Materials With an Arbitrarily Oriented Crack Meeting an Interface
,” Int. J. Fract.
0376-9429, 12
, pp. 705
–721
.5.
Comninou
, M.
, and Dundurs
, J.
, 1979, “A Closed Crack Tip Terminating at an Interface
,” ASME J. Appl. Mech.
0021-8936, 46
, pp. 97
–100
.6.
Gharpuray
, V. M.
, Dundurs
, J.
, and Keer
, L. M.
, 1991, “A Crack Terminating at a Slipping Interface Between Two Materials
,” ASME J. Appl. Mech.
0021-8936, 58
, pp. 960
–963
.7.
Chen
, D. H.
, 1994, “A Crack Normal to and Terminating at a Bimaterial Interface
,” Eng. Fract. Mech.
0013-7944, 49
, pp. 517
–532
.8.
Dugdale
, D. S.
, 1960, “Yielding of Steel Sheets Containing Slits
,” J. Mech. Phys. Solids
0022-5096, 8
, pp. 100
–104
.9.
Barenblatt
, G. I.
, 1962, “The Mathematical Theory of Equilibrium Cracks in Brittle Fracture
,” Adv. Appl. Mech.
0065-2156, 7
, pp. 55
–129
.10.
Romeo
, A.
, and Ballarini
, R.
, 1997, “A Cohesive Zone Model for Cracks Terminating at a Bimaterial Interface
,” Int. J. Solids Struct.
0020-7683, 34
, pp. 1307
–1326
.11.
Zhang
, W.
, and Deng
, X.
, 2006, “Asymptotic Fields Around an Interfacial Crack With a Cohesive Zone ahead of the Crack Tip
,” Int. J. Solids Struct.
0020-7683, 43
, pp. 2989
–3005
.12.
Unger
, D. J.
, 1995, Analytical Fracture Mechanics
, Academic
, San Diego.13.
Zhang
, W.
, and Deng
, X.
, 2005, “Formulation of a Cohesive Zone Model for a Mode III Crack
,” Eng. Fract. Mech.
0013-7944, 72
, pp. 1818
–1829
.14.
Weisstein
, E. W.
“Fourier Series
,” MathWorld–A Wolfram Web Resource, http://mathworld.wolfram.com/FourierSeries.htmlhttp://mathworld.wolfram.com/FourierSeries.htmlCopyright © 2007
by American Society of Mechanical Engineers
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