Effect of Compressive Residual Stress on the Corner Crack Growth

Subject Areas : Engineering

M.H Gozin ¹ (Department of Mechanical Engineering, K.N. Toosi University of Technology)
M Aghaie-Khafri ² (Department of Mechanical Engineering, K.N. Toosi University of Technology)

Received: 2013-05-04 Accepted : 2013-08-17 Published : 2013-12-30

Keywords: FEM, Residual stress, Crack Closure,

Abstract :

In the present study, plasticity induced crack closure (PICC) concept and three dimensional (3D) finite element methods (FEM) are used to study the effect of compressive residual stress field on the fatigue crack growth from a hole. To investigate the effect of compressive residual stress on crack opening levels and crack shape evolution, Carlson’s experiments were simulated. Crack shape evolution is investigated by employing an automatic remeshing technique using MATLAB-ABAQUS code. The effect of mesh element size is considered by using element sizes of 0.025mm and 0.0125mm. Crack opening level results indicate that the applied residual stress increases the opening levels with an average of 45%. The higher opening levels results in higher number of fatigue cycles by a ratio of 3.07 for 1.9mm surface crack growth increment. Comparing the result obtained with Carlson’s experiments indicates that the crack closure method employed in the present analysis is in good agreement. Comparing the results with Jones’ supeposition method, moreover, illustrates that present paper method is more accurate.

References:

[1] Jones K.W., Dunn M.L., 2009, Predicting fatigue crack growth from a preyielded hole, International Journal of Fatigue 31:223-230.

[2] Parker A.P., 1982, Residual stress effects in fatigue, ASTM STP 776, American Society for Testing and Materials 13-31.

[3] Elber W., 1970, Fatigue crack closure under cyclic tension, Engineering Fracture Mechanics 2 :37-45.

[4] Elber W., 1971, The significance of fatigue crack closure damage tolerance in aircraft structures, ASTM STP486, American Society for Testing and Materials 230-242.

[5] Schijve J., 1988, Fatigue crack closure: observations and technical significance mechanics of fatigue crack closure, ASTM STP 982, American Society for Testing and Materials 6-34.

[6] Solanki K., Daniewicz S.R., Newman J.C., 2004, Finite element analysis of plasticity-induced fatigue crack closure:an overview, Engineering Fracture Mechanics 71:149-171.

[7] McClung RC., Sehitoglu H., 1989, On the finite element analysis of fatigue crack closure-1.basic modeling issues, Engineering Fracture Mechanics 33:237-252.

[8] Ismonov S., Daniewicz S.R., 2010, Simulation and comparison of several crack closure assessment methodologies using three-dimensional finite element analysis, International Journal of Fatigue 32:1322-1329.

[9] Chermahini R.G., Blom A.F., 1991, Variation of crack-opening stresses in three-dimensions: finite thickness plate, Theoretical and Applied Fracture Mechanics 15:267-276.

[10] Newman J.C., Raju I.S., 1981, An empirical stress-intensity factor equation for the surface crack, Engineering Fracture Mechanics 15:185-192.

[11] Connolly M.P., Collins R., 1987, The measurement and analysis of semi-elliptical surface fatigue crack growth, Engineering Fracture Mechanics 26:897-911.

[12] Mc Fadyen N.B, Bell N.B., Vosikovsky O., 1990, Fatigue crack growth of semi-elliptical surface cracks, International Journal of Fatigue 12:43-50.

[13] Shin C.S, 1991, Some aspect of corner fatigue crack growth from holes, Journal of Fatigue 13:233-240.

[14] Hou C.Y., 2008, Simultaneous simulation of closure behavior and shape development of fatigue surface cracks, International Journal of Fatigue 30:1036-1046.

[15] Hou C.Y., 2011, Simulation of surface crack shape evolution using the finite element technique and considering the crack closure effects, International Journal of Fatigue 33:719-726.

[16] Carlson S.S., 2008, Application of Beta Corrections to Model and Predict fatigue Crack Growth at Cold Expanded Holes in 2024-T351 Aluminum alloys, M.S. Thesis, The University of Utah.

[17] Anderson T.L., 2004, Fracture Mechanics: Fundamentals and Applications, CRC press.

[18] Broek D., 1982, Elementary Engineering Fracture Mechanics, Martinus Nijhoff Publishers.

[19] Hasanov A., Seyidmamedov Z.M., 2007, A finite element analysis and remeshing algorithm for an axisymmetric elasto-plastic contact problem related to indentation measurements, Materials & Design 28:62-70.

[20] Maligno A.R., Rajaratnam S., Leen S.B., Williams E.J., 2010, A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques, Engineering Fracture Mechanics 77:94-111.

[21] Khoei A. R., 2005, Computational Plasticity in Powder Forming Processes, Elsevier Ltd.

[22] Hamel V., Roelandt J.M., Gacel J. N., Schmit F., 2000, Finite element modeling of clinch forming with automatic remeshing, Computers and Structures 77:185-200.

[23] LaRue J.E., Daniewicz S.R., 2007, Predicting the effect of residual stress on fatigue crack growth, International Journal of Fatigue 29:508-515.

[24] Liu A.F., 1979, The effect of residual stresses on crack growth from a Hole,. Northrop Corporation Aircraft Group 74-79.

[25] Gozin M.H., Aghaie-Khafri M., 2012, 2D and 3D finite element analysis of crack growth under compressive residual stress field, International Journal of Solids andStructures 49:3316-3322.

[26] Jones K.W., 2009, Predicting Fatigue Crack Growth Through Residual Stress Fields, Ph.D. Thesis, University of Colorado.

[27] Pilarczyk R., 2008, Beta Corrections to Predict Fatigue Crack Growth at Cold Expanded Holes in 7075-T651 Aluminum Alloy, M.Sc. Thesis, The University of Utah.

[28] Fatigue Technologies Inc, 2002, Cold Expansion Holes Using the Standard Split Sleeve System and Countersink Cold Expansion.

[29] Pavier M.J., Ponssard C.G.C., Smith D.J., 1998, Finite element modelling of the interaction of residual stress with mechanical load for a crack emanating from a cold worked fastener hole, The Journal of Strain Analysis for Engineering Design 33 (4):275-289.

[30] Solanki K., Daniewicz S.R., Newman J.C. 2004, A new methodology for computing crack opening values from finite element analyses, Engineering Fracture Mechanics 71:1165-1175.