Evolution of Crack Tip Constraint in a Mode II Elastic-Plastic Crack Problem
Source abstract
Abstract
Numerous studies have shown that crack tip constraint has an important effect on the level of conservatism when crack extension is investigated in elastic-plastic fracture mechanics. Constraint effect has been explored extensively in the past but mainly for pure mode I problems. Very few researchers have dealt with the effects of crack tip constraint on mode II or mixed mode I/II fracture in metallic materials. In this paper, the evolution of mode II constraint parameter Q in terms of applied external load is determined numerically for a test specimen under pure mode II loading. The finite element method is utilized to model the specimen and to study the range of validity of mode II constraint parameter determined from a Q—T diagram. The parameter Q calculated from the finite element simulation (or from the full field solution) is compared with the values of Q determined from the Q—T diagram. For low levels of load, the results of full field solution are shown to be consistent well with the results obtained from the Q—T diagram. However, when the external load increases significantly, the results of Q—T diagram are no longer accurate and mode II constraint parameter Q should be calculated directly from finite element results.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Mechanical stress and fatigue analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (16)
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1. Maccagno, T.M. and Knott, J.F., The Low Temperature Brittle Fracture Behaviour of Steel in Mixed Mode I and II, Eng. Fract. Mech., 1991, vol. 38, no. 2/3, pp. 111–128.10.1016/0013-7944(91)90076-D ↗
2. Erdogan, F. and Sih, G.C., On the Crack Extension in Plates under Plane Loading and Transverse Shear, J. Basic Eng. Trans. ASME, 1963, vol. 85, pp. 519–525.10.1115/1.3656897 ↗
3. Maccagno, T.M. and Knott, J.F., Brittle Fracture under Mixed Mode I and II Loading, Int. J. Fract., 1985, vol. 29, pp. R49–R57.10.1007/BF00125476 ↗
4. Shih, C.F. and German, M.D., Requirements for a One Parameter Characterization of Crack Tip Fields by the HRR Singularity, Int. J. Fract., 1981, vol. 17, no. 1, pp. 27–43.10.1007/BF00043119 ↗
5. Betegon, C. and Hancock, J.W., Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields, J. Appl. Mech, 1991, vol. 58, pp. 104–110.10.1115/1.2897135 ↗
6. O’Dowd, N.P. and Shih, F.C., Family of Crack-Tip Fields Characterized by a Triaxiality Parameter. I. Structure of Field, J. Mech. Phys. Solid., 1991, vol. 39, no. 8, pp. 989–1015.10.1016/0022-5096(91)90049-T ↗
7. O’Dowd, N.P. and Shih, F.C., Family of Crack-Tip Fields Characterized by a Triaxiality Parameter. II. Fracture Applications, J. Mech. Phys. Solid., 1992, vol. 40, no. 5, pp. 939–963.10.1016/0022-5096(92)90057-9 ↗
8. Du, Z.Z., Betegon, C., and Hancock, J.W., J Dominance in Mixed Mode Loading, Int. J. Fract., 1991, vol. 52, pp. 191–206.10.1007/BF00034904 ↗
9. Shlyannikov, V. and Tumanov, A., Characterization of Crack Tip Stress Fields in Test Specimens Using Mode Mixity Parameters, Int. J. Fract., 2014, vol. 185, no. 12, pp. 49–76.10.1007/s10704-013-9898-0 ↗
10. Qin, H.B., Zhang, X.P., Zhou, M.B., Zeng, J.B., Mai, Y.-W., Size and Constraint Effects on Mechanical and Fracture Behavior of Microscale Ni/Sn3.0Ag0.5Cu/Ni Solder Joints, Mater. Sci. Eng. A, 2014, vol. 617, no. 1, pp. 14–23.10.1016/j.msea.2014.08.008 ↗
11. Matvienko, Y., The Effect of Out-of-Plane Constraint in Terms of the T-Stress in Connection with Specimen Thickness, Theor. Appl. Fract. Mech., 2015, vol. 80, pp. 49–56.10.1016/j.tafmec.2015.05.007 ↗
12. Ding, P. and Wang, X., Three-Dimensional Mixed-Mode (I and II) Crack-Front Fields in Ductile Thin Plates-Effects of T-Stress, Fatig. Fract. Eng. Mater. Struct., 2017, vol. 40, no. 3, pp. 349–363.10.1111/ffe.12498 ↗
13. Ayatollahi, M.R., Pavier, M.J., and Smith, D.J., Determination of T-Stress from Finite Element Analysis for Mode I and Mixed Mode I/II Loading, Int. J. Fract., 1998, vol. 91, no. 3, pp. 283–298.10.1023/A:1007581125618 ↗
14. Ayatollahi, M.R. and Zakeri, M., An Improved Definition for Mode I and Mode II Crack Problems, Eng. Fract. Mech, 2017, vol. 175, pp. 235–246.10.1016/j.engfracmech.2017.01.027 ↗
15. Ayatollahi, M.R., Smith, D.J., and Pavier, M.J., CrackTip Constraint in Mode II Deformation, Int. J. Fract., 2002, vol. 113, no. 2, pp. 153–173.10.1023/A:1015504414612 ↗
16. Smith, D.J., Ayatollahi, M.R., and Pavier, M.J., On the Consequences of T-Stress in Elastic Brittle Fracture, Proc. Roy. Soc. A, 2006, vol. 462, pp. 2415–2437.10.1098/rspa.2005.1639 ↗