Crack Tip Shielding from a Plastic ‘Inclusion’

Article Preview

Abstract:

This paper presents a very brief overview of the philosophy underlying a plastic inclusion approach to defining the boundary stresses imposed on the applied elastic stress or displacement field by the plastic deformation attendant on crack growth in a ductile material. It leads to two new fracture mechanics parameters, KR and KS. KR defines a retardation component arising from wake contact and the Poisson’s contraction associated with the plastic zone, whilst KS describes a compatibility-induced component arising from shear at the elastic-plastic interface. These additional components imply that KF is not directly comparable with KI, as it describes the net driving force on the crack from the applied load.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1-8

Citation:

Online since:

January 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] W. S. Slaughter (2001), The Linearized Theory of Elasticity, Section 9. 4, Birkhausen, Boston.

Google Scholar

[2] C. J. Christopher, M. N. James, E. A. Patterson and K. F. Tee, Towards a new model of crack tip stress fields, Int. J. Fract. Vol. 148, (2007), pp.361-371.

DOI: 10.1007/s10704-008-9209-3

Google Scholar

[3] C. J. Christopher, M. N. James, E. A. Patterson and K. F. Tee, A quantitative evaluation of fatigue crack shielding forces using photoelasticity, Engng Fract. Mech. Vol. 75, (2008), pp.4190-4199.

DOI: 10.1016/j.engfracmech.2008.03.013

Google Scholar

[4] S. Roychowdhury and R. H. Dodds, Effect of T-stress on fatigue crack closure in 3-D small-scale yielding, Int. J. Solids Structs Vol. 41, (2004), p.2581–2606.

DOI: 10.1016/j.ijsolstr.2003.11.004

Google Scholar

[5] Y. Kim, X. K. Zhu and Y. J. Chao, Quantification of constraint on elastic–plastic 3D crack front by the J-A2 three-term solution, Engng Fract. Mech. Vol. 68, (2001), p.895–914.

DOI: 10.1016/s0013-7944(00)00134-x

Google Scholar

[6] M. N. James, C. J. Christopher, Yanwei Lu and E. A. Patterson, Full-field modelling of crack tip shielding via the plastic inclusion, concept, Proc. 2nd Int. Conf. on Advances in Product Development and Reliability, Shenyang, China, 28-30 July, 2010. Advd Mats Res. Vols. 118-120, (2010).

DOI: 10.4028/www.scientific.net/amr.118-120.1

Google Scholar

[7] P. C. Paris, R. E. Gomez and W. E. Anderson, A rational analytic theory of fatigue, The Trend in Engineering Vol. 13 No. 1, (1961), pp.9-14, University of Washington.

Google Scholar

[8] R. H. Christensen: Fatigue crack growth affected by metal fragments wedged between opening-closing crack surfaces, Appl. Mater. Res. Vol. 2 No. 4, October 1963, pp.207-210.

Google Scholar

[9] W. Elber, Fatigue crack closure under cyclic tension, Engng Fract. Mech. Vol. 2, (1970), pp.37-45.

Google Scholar

[10] M. N. James (1997).

Google Scholar

[11] L. -W. Wei and M.N. James, A study of fatigue crack closure in polycarbonate CT specimens, Engng Fract. Mech. Vol. 66 No. 2, (2000), pp.223-242.

DOI: 10.1016/s0013-7944(00)00014-x

Google Scholar

[12] A. S. Patki and E.A. Patterson, Thermoelastic stress analysis of fatigue cracks subject to overloads, Fatigue and Fracture of Engineering Materials and Structures, in press (2010).

DOI: 10.1111/j.1460-2695.2010.01471.x

Google Scholar

[13] M. L. Williams, On the stress distribution at the base of a stationary crack, J. Appl. Mech. Vol. 24, (1957), p.109–114.

Google Scholar

[14] A. H. Sherry, C. C. France and M. R. Goldthorpe, Compendium of T-stress solutions for two and three dimensional cracked geometries, Fatigue Fract. Engng Mater. Struct., Vol. 18 No. 1, (1995), pp.141-155.

DOI: 10.1111/j.1460-2695.1995.tb00148.x

Google Scholar

[15] K. Ramesh, S. Gupta and A. A. Kelkar, Evaluation of stress field parameters in fracture mechanics by photoelasticity-revisited, Engng Fract. Mech. Vol. 56 No. 1, (1997), pp.25-45.

DOI: 10.1016/s0013-7944(96)00098-7

Google Scholar

[16] F. Berto and P. Lazzarin, On higher order terms in the crack tip stress field, Letters in Fracture and Micromechanics, Vol. 161, (2010), pp.221-226.

DOI: 10.1007/s10704-010-9443-3

Google Scholar

[17] H. L. Ewalds and R. J. H. Wanhill, Fracture mechanics, (1984) Edward Arnold, New York, p.97.

Google Scholar

[18] E. A. Patterson and Z. F. Wang, Towards full-field automated photoelastic analysis of complex components, Strain Vol. 27 No. 2, (1991), p.49–56.

DOI: 10.1111/j.1475-1305.1991.tb00752.x

Google Scholar

[19] J.R. Yates, M. Zanganeh, Y.H. Tai, Quantifying crack tip displacement fields with DIC, Engng Fract. Mech. (2010), in press.

DOI: 10.1016/j.engfracmech.2010.03.025

Google Scholar

[20] J. Carroll, C. Efstathiou, J. Lambros, H. Sehitoglu, B. Hauber, S. Spottswood, R. Chona, Investigation of fatigue crack closure using multiscale image correlation experiments, Engineering Fracture Mechanics Vol. 76, (2009), p.2384–2398.

DOI: 10.1016/j.engfracmech.2009.08.002

Google Scholar