AM  Vol.4 No.5 A , May 2013
Finite Element Modeling of Crack Tip Blunting for Estimation of Energy Release Rate Component of Mode I Crack near a Strength Mismatched Interface
Abstract: The paper presents finite element modeling of crack tip blunting for numerical estimation of fracture parameter of a Mode I crack, in weak alloy steel, which is near and normal to the interface of elastically identical but stronger maraging steel. The bimetallic body is subjected to monotonic load in K dominated regime. Crack tip yield zone across the interface, treated as Dugdale’s cohesive zone, is isolated from the bimetallic domain and is modeled alone under the action of respective cohesive stress over yield zones for obtaining the contribution of mismatch between yield strength of the steels in crack energy release rate component, Jinterface. Effect of far field load on Jinterface is found separately from a theoretical model. Numerical and theoretical results of Jinterface are in good agreement.
Cite this paper: S. Bhat and V. Ukadgaonker, "Finite Element Modeling of Crack Tip Blunting for Estimation of Energy Release Rate Component of Mode I Crack near a Strength Mismatched Interface," Applied Mathematics, Vol. 4 No. 5, 2013, pp. 1-7. doi: 10.4236/am.2013.45A001.

[1]   S. Suresh, Y. Sugimura and E. K. Tschegg, “The Growth of a Fatigue Crack Approaching a Perpendicularly-Oriented, Bimaterial Interface,” Scripta Metallurgica et Materialia, Vol. 27, No. 9, 1992, pp. 1189-1194. doi:10.1016/0956-716X(92)90597-8

[2]   Y. Sugimura, P. G. Lim, C. F. Shih and S. Suresh, “Fracture Normal to a Bimaterial Interface: Effects of Plasticity on Crack Tip Shielding and Amplification,” Acta Metallurgica et Materialia, Vol. 43, No. 3, 1995, pp. 1157-1169. doi:10.1016/0956-7151(94)00295-S

[3]   J. Predan, N. Gubeljak and O. Kolednik, “On the Local Variation of the Crack Driving Force in a Double Mismatched Weld,” Engineering Fracture Mechanics, Vol. 74, No. 11, 2007, pp. 1739-1757. doi:10.1016/j.engfracmech.2006.09.015

[4]   S. Bhat and V. G. Ukadgaonker, “Dugdale Cohesive Zone Modeling to Evaluate J Integral at the Interface of Strength Mismatched Steels: A Simplified Numerical Approach,” Finite Elements in Analysis and Design, Vol. 46, No. 7, 2010, pp. 601-610. doi:10.1016/j.finel.2010.02.007

[5]   K. Hellan, “Introduction to Fracture Mechanics,” MaGraw-Hill Book Company, 1985, p. 92.

[6]   D. Wappling, J. Gunnars and P. Stahle, “Crack Growth across a Strength Mismatched Bimaterial Interface,” International Journal of Fracture, Vol. 89, No. 3, 1998, p. 238.

[7]   F. O. Reimelmoser and R. Pippan, “The J-Integral at Dugdale Cracks Perpendicular to Interfaces of Materials with Dissimilar Yield Stresses,” International Journal of Fracture, Vol. 103, No. 4, 2000, p. 404.

[8]   J. R. Rice, “A Path Independent Integral and Approximate Analysis of Strain Concentration by Notches and Cracks,” Journal of Applied Mechanics, Vol. 35, No. 2, 1968, pp. 379-386. doi:10.1115/1.3601206