Three Dimensional Finite Element Modelling of Cracks Under Fretting Fatigue Conditions


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


The starting of crack initiation from micro-heterogeneities of the structure is often causes degradation of element’s structure. The industrial metallic materials are generally alloys of complex composition with defects (work hardening, dislocation, segregation of addition elements, grain boundaries, and porosities) which locally create an incompatibility of deformation and/or a stress concentration. Microscopic cracks can then start by accumulation of dislocation on the defect, if local crystallography is favorable there. In fretting fatigue, the application of mechanical under pressure contact during the complex loading of fretting fatigue involves cracks born from crystallographic dislocations. In order to understand and to enrich knowledge of the fretting fatigue phenomenon, a complete study of the parameters of elliptical inclined cracks by three dimensional Finite Element Method under conditions of fretting fatigue with complete contact was carried out. An initial crack was supposed to be nucleate at the end of the complete contact zone between the two bodies (specimen and pads). The crack shape and its dimensions have been varied parametrically to model the structured mesh in order to calculate the Stress Intensity Factors in three modes (I, II, III) and the Integral J. The simulations were carried out under conditions of axial loading with variable amplitude and nonlinear contact.
Copyright © 2014 Praise Worthy Prize - All rights reserved.

Keywords


3D Finite Element; Elliptical Inclined Crack; Fretting Fatigue; Complete Contac; SIF; Integral J

Full Text:

PDF


References


Irwin, G.R. "Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate," Trans. ASME, J. App. Mech., Vol. E24, p. 361, 1957.

Paris, P., Gomez, M. and Anderson, W., A rational analytic theory of fatigue, The Trend in Engineering, Vol. 13, 1961, p.9-14.

Paris, P. C. and Erdogan, F., A Critical Analysis of Crack Propagation Laws, Journal of Basic Engineering, Vol. 85, 1963, p 528.
http://dx.doi.org/10.1115/1.3656900

Swedlow, J. L., Ph.D. Dissertation, The Thickness. Effect and Plastic. Flow in Cracked. Plates, California Institute of Technology, Pasadena, CA, 1965.

Nishioka K. and Hirakawa K., “Fundamental Investigations into Fretting Fatigue” Part 2, Bulletin of JSME, Vol. 12, 397-407, 1969.
http://dx.doi.org/10.1299/jsme1958.12.397

Moran B. and Shih, C.F. A general treatment of crack tip contour integrals. International Journal of Fracture 35 (1987), pp. 295–310.
http://dx.doi.org/10.1007/bf00276359

Nikishkov, G.P. y Atluri, S.N., Calculation of Fracture Mechanics Parameters for an Arbitrary Three-Dimensional Crack by the Equivalent Domain Integral Method", International Journal for Numerical Methods in Engineering, vol.24, 1987, 1801-1821.
http://dx.doi.org/10.1002/nme.1620240914

Shivakumar K.N.and Raju, I.S. An equivalent domain integral method for three-dimensional mixed-mode fracture problems. Engineering Fracture Mechanics 42 6, pp. 935–959, 1992.
http://dx.doi.org/10.1016/0013-7944(92)90134-z

T. Nishioka and S.N. Atluri , An alternating method for analysis of surface flawed aircraft structural components. AIAA J 21 5, pp. 749–757, 1983.
http://dx.doi.org/10.2514/3.8143

Timbrell, C. and Cook, G., 3D FE fracture mechanics analysis for industrial applications, Seminar on Inelastic Finite Element Analysis, Institute of Mechanical Engineers, London, Oct 14, 1997.

Atluri, S.N. and Kathiresan, K., 3D analysis of surface flows in thick-walled reactor pressure-vessels using displacement-hybrid finite element method. Nuclear Engineering and Design 51, 163–176, 1979.
http://dx.doi.org/10.1016/0029-5493(79)90088-8

Miyazaki, N., Kaneko, H. and Munakata, T., Stress intensity analyses of interacting elliptical cracks using line-spring boundary element method. International Journal of Ves. & Piping 38, 1–14, 1989.
http://dx.doi.org/10.1016/0308-0161(89)90127-0

Chai, G.Z. and Zhang, K.D., A hybrid boundary element method for three-dimensional fracture analysis. International Journal of Fracture 104, 241–258, 2000.

M. Gosz, J. Dolbow and B. Moran, Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks. Int. J. Solids Strict.. 35, pp. 1763–1783, 1998.
http://dx.doi.org/10.1016/s0020-7683(97)00132-7

D. Peng, R. Jones and S. Pitt, Implementation of a new algorithm for evaluating 3D fracture analysis, International Journal of Fracture, page 55-57, Volume 113, Number 1, 2002.

G.P.Nikishkov, J.H.Park and S.N.Atluri, SGBEM-FEM alternating method for analyzing 3D non-planar cracks and their growth in structural components. Computer Modeling in Engineering and Sciences, 2, pp. 401-422, 2001.

Naboulsi,S., Mall, S. Investigation of high cycle and low cycle fatigue interaction on fretting behavior, Int. J. Mech. Sci. 44 1625-1645, 2002.
http://dx.doi.org/10.1016/s0020-7403(02)00063-2

M. Helmi Attia, On the fretting wear mechanism of Zr-alloys, Tribology International, Volume 39, Issue 10, Pages 1320-1326, October 2006.
http://dx.doi.org/10.1016/j.triboint.2006.02.053

Heung S.K., Shankar M." Investigation into Three-Dimensional effects on Finite Contact Width on Fretting Fatigue". 2005
http://dx.doi.org/10.1016/j.finel.2005.02.001

F. J. Fuenmayor, E. Giner and M. Tur, Extraction of the generalized stress intensity factor in gross sliding complete contacts using a path-independent integral. Fatigue and Fracture of Engineering Materials and Structures. Volume 28 Issue 12 Page 1071-1085, 2005
http://dx.doi.org/10.1111/j.1460-2695.2005.00944.x

Nowell, D. and Hills, D.A. Ph.D. Dissertation, An Analysis of Fretting Fatigue. Lincoln College, Oxford University, 1988.

C.M. Churchman and D.A. Hills, Slip zone length at the edge of a complete contact, International Journal of Solids and Structures. Volume 43, Issues 7-8, Pages 2037-2049, 2006.
http://dx.doi.org/10.1016/j.ijsolstr.2005.06.099

Raju, I. S. and Newman, J. C., Jr., Stress-Intensity Factors for a Wide Range of Semi-Elliptical Surface Cracks in Finite Thickness Plates Engineering Fracture Mechanics, Vol. 11, No. 4, pp. 817-829, 1979.
http://dx.doi.org/10.1016/0013-7944(79)90139-5

Nao-Aki Noda, T.K, D.B. Variation of stress intensity factor of a semi-elliptical surface crack subjected to mixed mode loading. International Journal of Fracture 127: 167-191, 2004.
http://dx.doi.org/10.1023/b:frac.0000035054.88722.43


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize