Fracture Parameters on Three-Dimensional Sliding Mode Fracture


Article Preview

In the recent years three-dimensional (3D) elastic-plastic analyses have been conducted extensively for the opening mode (mode I) fracture and the constraint effects are discussed in detail. However less work is focused on other modes as sliding mode (mode II), tearing mode (mode III) or the mixed mode fracture in three-dimensional. In this paper the thickness effect on pure mode II case is discussed by the finite element method (FEM). Modified Boundary Layer (MBL) model is used, which has the ability to take into account the combined effects of the in-plane constraint (T-stress) and the out-of-plane constraint (finite thickness). The result demonstrates the weak thickness dependence on the near tip stress and strain fields under mode II loading. And the size of the 3D zone at mode II loading is determined to range from 1.0 to 1.2 times the thickness. Two fracture parameters of J integral and crack tip sliding displacement (CTSD) are discussed, which are almost same at different thickness planes except those very near the surface. It is interesting to find that the relations between J and CTSD keep linear at different thickness planes. T-stress is symmetry on stress and strain distributions along the crack plane. However its effects indicate weak thickness dependent on the CTSD and J integral fracture parameter.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




F. Xu et al., "Fracture Parameters on Three-Dimensional Sliding Mode Fracture", Key Engineering Materials, Vols. 340-341, pp. 447-452, 2007

Online since:

June 2007




[1] Levy, N., Marcal, P.V. and Rice, J.R. (1971) Progress in 3D elastic-plastic fracture mechanics. Nuclear Engineering and Design 17, 64-69.


[2] Rosakis, A.J. and Chandar, K.R. (1986) On crack-tip stress state: an experimental evaluation of three-dimensional effects. Int. J. Solids Structures 22(2), 121-134.


[3] Chiang, P. and Hareesh, T.V. (1988) Three-dimensional crack rip deformation: an experimental study and comparison to HRR-field. Int. Journal of Fracture 36, 243-248.


[4] Nakamura, T. and Parks, D.M. (1988) three-dimensional stress field near the crack front of a thin elastic plate. Journal of Applied Mechanics 55, 805-813.


[5] Nakamura, T. and Parks, D.M. (1990) Three-dimensional crack front fields in a thin ductile plate. J. Mech. Phys. Solids 38(6), 787-812.


[6] Du, Z.Z. and Hancock, J.W. (1991) The effect of non-singular stresses on crack-tip constraint. J. Mech. Phys. Solids 39(4), 555-567.

[7] Al-Ani, A.M. and Hancock, J.W. (1991) J-dominance of short cracks in tension and bending. J. Mech. Phys. Solids 39(1), 23-43.


[8] Betegon, C. and Hancock, J.W. (1991) Two-parameter characterization of elastic-plastic crack rip fields. Transaction of ASME. J. of Applied Mechanics. 58, 104-110.


[9] O'dowd, N.P. and Shih, C.F. (1991) Family of crack tip fields characterized by triaxiality parameter-I. Structure of fields, J. Mech. Phys. Solids, 39, 989-1015.


[10] O'dowd, N.P. and Shih, C.F. (1992) Family of crack tip fields characterized by triaxiality parameter-II. Fracture application, J. Mech. Phys. Solids, 40, 939-963.


[11] Guo, W. (1999) Three-dimensional analyses of plastic constraint for through thickness cracked bodies. Engineering Fracture Mechanics, 62, 383-407.


[12] Yuan, H. and Brock, W. (1998) Quantification constraint effects in elastic-plastic crack front fields, J. Mech. Phys. Solids, 46, 219-241.


[13] Williams, M.L. (1957) On the stress distribution at the base of a stationary crack. J. of Applied Mechanics, 24, 111-114.