Nucleation of fatigue cracks at nonmetallic primary inclusions in high cycle fatigue of martensitic steel is computationally investigated. We explore the capabilities of an elastic interphase material adhered to the inclusion surface to alter the driving force for fatigue crack nucleation in the matrix. By varying the elastic stiffness of the encapsulating interphase, the stresses and cyclic plastic strains are examined in the matrix in the proximity of a partially debonded inclusion, a worst case scenario for nucleation. The matrix is modeled as elastic-plastic with pure kinematic hardening expressed in a hardening minus dynamic recovery format. The inclusion and interphase are modeled as isotropic linear elastic. An idealized spherical, homogeneous inclusion is considered to facilitate parametric study. A nonlocal average value of the maximum plastic shear strain amplitude was used in a modified form of the Fatemi–Socie parameter in the proximity of inclusions as a fatigue indicator parameter to facilitate comparative parametric study of potency for crack nucleation.
Issue Section:
Research Papers
1.
McDowell
, D. L.
Engineering Model for Propagation of Small Cracks in Fatigue
,” Eng. Fract. Mech.
0013-7944, 56
(3
), pp. 357
–377
.2.
McDowell
, D. L.
Simulation-Based Strategies for Microstructure-Sensitive Fatigue Modeling
,” Mater. Sci. Eng., A
, 468–470
, pp. 4
–14
. 0921-50933.
Kunio
, T.
Shimizu
, M.
Yamada
, K.
Sakura
, K.
Yamamoto
, T.
Early Stage of Fatigue Crack Growth in Martensitic Steel
,” Int. J. Fract.
, 17
(2
), pp. 111
–119
. 0376-94294.
Melander
, A.
Finite Element Study of Short Cracks With Different Inclusion Types Under Rolling Contact Fatigue Load
,” Int. J. Fatigue
0142-1123, 19
(1
), pp. 13
–24
.5.
Gall
, K.
Horstemeyer
, M. F.
Degner
, B. W.
McDowell
, D. L.
Jinghong
, F.
On the Driving Force for Fatigue Crack Formation From Inclusions and Voids in a Cast A356 Aluminium Alloy
,” Int. J. Fract.
, 108
(3
), pp. 207
–233
. 0376-94296.
Shenoy
, M. M.
Kumar
, R. S.
McDowell
, D. L.
Modeling Effects of Nonmetallic Inclusions on LCF in DS Nickel-Base Superalloys
,” Int. J. Fatigue
0142-1123, 27
(2
), pp. 113
–127
.7.
Al-Ostaz
, A.
Jasiuk
, I.
Influence of Interface and Arrangement of Inclusions on Local Stresses in Composite Materials
,” Acta Mater.
1359-6454, 45
(10
), pp. 4131
–4143
.8.
Tursun
, G.
Weber
, U.
Soppa
, E.
Schmauder
, S.
The Influence of Transition Phases on the Damage Behaviour of an Al/10vol.%SiC Composite
,” Comput. Mater. Sci.
, 37
(1–2
), pp. 119
–133
. 0927-02569.
Sevostianov
, I.
Kachanov
, M.
Effect of Interphase Layers on the Overall Elastic and Conductive Properties of Matrix Composites. Applications to Nanosize Inclusion
,” Int. J. Solids Struct.
, 44
(3–4
), pp. 1304
–1315
. 0020-768310.
Hughes
, J. D. H.
Carbon Fibre/Epoxy Interface. A Review
,” Compos. Sci. Technol.
0266-3538, 41
(1
), pp. 13
–45
.11.
Kim
, K.
Sudak
, L. S.
A Three-Phase Circular Inclusion With a Sliding Interface and a Radial Matrix Crack
, High Performance Structures and Materials II
, Ancona, Italy
, pp. 147
–156
.12.
Lombardo
, N.
Effect of an Inhomogeneous Interphase on the Thermal Expansion Coefficient of a Particulate Composite
,” Compos. Sci. Technol.
, 65
(14
), pp. 2118
–2128
. 0266-353813.
Benveniste
, Y.
Dvorak
, G. J.
Chen
, T.
Stress Fields in Composites With Coated Inclusions
,” Mech. Mater.
0167-6636, 7
(4
), pp. 305
–317
.14.
Wu
, Y.
Dong
, Z.
Three-Dimensional Finite Element Analysis of Composites With Coated Spherical Inclusions
,” Mater. Sci. Eng., A
0921-5093, 203
(1–2
), pp. 314
–323
.15.
Kim
, K.
Sudak
, L. J.
Interaction Between a Radial Matrix Crack and a Three-Phase Circular Inclusion With Imperfect Interface in Plane Elasticity
,” Int. J. Fract.
0376-9429, 131
(2
), pp. 155
–172
.16.
Cheeseman
, B. A.
Santare
, M. H.
The Effect of the Interphase on Crack-Inclusion Interactions
,” Int. J. Fract.
, 109
(3
), pp. 303
–323
. 0376-942917.
Liu
, Y. W.
Fang
, Q. H.
Jiang
, C. P.
A Piezoelectric Screw Dislocation Interacting With an Interphase Layer Between a Circular Inclusion and the Matrix
,” Int. J. Solids Struct.
, 41
(11–12
), pp. 3255
–3274
. 0020-768318.
Cheeseman
, B. A.
Santare
, M. H.
Thermal Residual Stress and Interphase Effects on Crack-Inclusion Interactions
,” J. Compos. Mater.
0021-9983, 36
(5
), pp. 553
–569
.19.
Xiao
, Z. M.
Chen
, B. J.
Stress Intensity Factor for a Griffith Crack Interacting With a Coated Inclusion
,” Int. J. Fract.
, 108
(3
), pp. 193
–205
. 0376-942920.
Wang
, X.
Shen
, Y. P.
An Edge Dislocation in a Three-Phase Composite Cylinder Model With a Sliding Interface
,” ASME J. Appl. Mech.
0021-8936, 69
(4
), pp. 527
–538
.21.
Shiozawa
, K.
Morii
, Y.
Nishino
, S.
Lu
, L.
Subsurface Crack Initiation and Propagation Mechanism in High-Strength Steel in a Very High Cycle Fatigue Regime
,” Int. J. Fatigue
0142-1123, 28
(11
), pp. 1521
–1532
.22.
Kuhlmann-Wilsdorf
, D.
Thomason
, P. F.
Role of Vacant Lattice Sites in the Low-Amplitude Fatigue Failure at Inclusions in Steel
,” Acta Metall.
, 30
(6
), pp. 1243
–1245
. 0001-616023.
Lankford
, J.
Inclusion-Matrix Debonding and Fatigue Crack Initiation in Low Alloy Steel
,” Int. J. Fract.
, 12
(1
), pp. 155
–156
. 0376-942924.
Murakami
, Y.
Kodama
, S.
Konuma
, S.
Quantitative Evaluation of Effects of Non-Metallic Inclusions on Fatigue Strength of High Strength Steels. I. Basic Fatigue Mechanism and Evaluation of Correlation Between the Fatigue Fracture Stress and the Size and Location of Non-Metallic Inclusions
,” Int. J. Fatigue
0142-1123, 11
(5
), pp. 291
–298
.25.
Tiemens
, B. L.
Performance Optimization and Computational Design of Ultra-High Strength Gear Steels
,” Ph.D. thesis, Northwestern University, Evanston, IL.26.
Gubenko
, S. I.
Effect of “Nonmetallic Inclusion-Matrix” Phase Boundaries on the Cohesive Resistance of Steel
,” Metal Science and Heat Treatment
, 48
(1–2
), pp. 13
–18
. 0026-067327.
Miao
, P.
Knott
, J. F.
Formation of Sulphide ‘Patches’ on Inclusions in C-Mn Steel Weld Metal
,” Mater. Sci. Technol.
0267-0836, 20
(11
), pp. 1440
–1446
.28.
Freund
, L. B.
Suresh
, S.
Thin Film Materials: Stress, Defect Formation and Surface Evolution
, Cambridge University Press
, London
.29.
Pei
, Y. T.
Song
, G. M.
Sloof
, W. G.
De Hosson
, J. T. M.
A Methodology to Determine Anisotropy Effects in Non-Cubic Coatings
,” Surf. Coat. Technol.
, 201
(16–17
), pp. 6911
–6916
. 0257-897230.
Luo
, F.
Gao
, K.
Pang
, X.
Yang
, H.
Qiao
, L.
Wang
, Y.
Characterization of the Mechanical Properties and Failure Modes of Hard Coatings Deposited by RF Magnetron Sputtering
,” Surf. Coat. Technol.
, 202
(14
), pp. 3354
–3359
. 0257-897231.
ABAQUS, 2005, HKS Inc., Providence, RI, Version 6.5.
32.
ABAQUS/Standard User’s Manual, 2005, HKS Inc., Providence, RI, Version 6.5.
33.
Socie
, D.
Critical Plane Approaches for Multiaxial Fatigue Damage Assessment
, ASTM
, San Diego, CA
, pp. 7
–36
.34.
McDowell
, D. L.
Multiaxial Fatigue Strength
,” ASM Handbook, Fatigue and Fracture
, Vol. 19
, ASM International
, Materials Park, OH
, pp. 263
–273
.35.
You
, B. -R.
Lee
, S. -B.
Critical Review on Multiaxial Fatigue Assessments of Metals
,” Int. J. Fatigue
0142-1123, 18
(4
), pp. 235
–244
.36.
Fatemi
, A.
Socie
, D.
A Critical Plane Approach to Multiaxial Fatigue Damage Including Out-of-Phase Loading
,” Fatigue Fract. Eng. Mater. Struct.
8756-758X, 11
, pp. 149
–165
.37.
McDowell
, D. L.
Berard
, J.-Y.
ΔJ-Based Approach to Biaxial Fatigue
,” Fatigue Fract. Eng. Mater. Struct.
8756-758X, 15
(8
), pp. 719
–741
.38.
Lamba
, H. S.
J-Integral Applied to Cyclic Loading
,” Eng. Fract. Mech.
0013-7944, 7
(4
), pp. 693
–703
.39.
Dowling
, N. E.
Iyyer
, N. S.
Fatigue Crack Growth and Closure at High Cyclic Strains
,” Mater. Sci. Eng.
, 96
, pp. 99
–107
. 0025-541640.
El Haddad
, M. H.
Dowling
, N. E.
Topper
, T. H.
Smith
, K. N.
J Integral Applications for Short Fatigue Cracks at Notches
,” Int. J. Fract.
0376-9429, 16
(1
), pp. 15
–30
.41.
McDowell
, D. L.
Multiaxial Small Fatigue Crack Growth in Metals
,” Int. J. Fatigue
0142-1123, 19
, pp. 127
–135
.42.
Shenoy
, M.
Zhang
, J.
McDowell
, D. L.
Estimating Fatigue Sensitivity to Polycrystalline Ni-Base Superalloy Microstructures Using a Computational Approach
,” Fatigue Fract. Eng. Mater. Struct.
8756-758X, 30
(10
), pp. 889
–904
.43.
Jiang
, Y.
Hertel
, O.
Vormwald
, M.
An Experimental Evaluation of Three Critical Plane Multiaxial Fatigue Criteria
,” Int. J. Fatigue
0142-1123, 29
(8
), pp. 1490
–1502
.44.
Kim
, K. S.
Park
, J. C.
Shear Strain Based Multiaxial Fatigue Parameters Applied to Variable Amplitude Loading
,” Int. J. Fatigue
0142-1123, 21
(5
), pp. 475
–483
.45.
Findley
, K. O.
Saxena
, A.
Low Cycle Fatigue in Rene 88dt at 650 C: Crack Nucleation Mechanisms and Modeling
,” Metall. Mater. Trans.
, 37
(5
), pp. 1469
–1475
. 1073-562346.
Chen
, X.
Gao
, Q.
Sun
, X. F.
Damage Analysis of Low-Cycle Fatigue Under Non-Proportional Loading
,” Int. J. Fatigue
0142-1123, 16
(3
), pp. 221
–225
.47.
Kwon
, J. D.
Park
, J. C.
Multiaxial Fatigue Life Prediction of Duplex Stainless Steels With Thermal Aging at 430°C Under Axial-Torsional Load
,” Key Eng. Mater.
, 270–273
, pp. 1183
–1188
. 1013-982648.
Reis
, L.
De Freitas
, M.
Analytical and Experimental Studies on Fatigue Crack Path Under Complex Multi-Axial Loading
,” Fatigue Fract. Eng. Mater. Struct.
8756-758X, 29
(4
), pp. 281
–289
.49.
Venkataraman
, G.
Chung
, Y. W.
Mura
, T.
Application of Minimum Energy Formalism in a Multiple Slip Band Model for Fatigue. I. Calculation of Slip Band Spacings
,” Acta Metall. Mater.
, 39
(11
), pp. 2621
–2629
. 0956-715150.
Venkataraman
, G.
Chung
, Y. W.
Mura
, T.
Application of Minimum Energy Formalism in a Multiple Slip Band Model for Fatigue. II. Crack Nucleation and Derivation of a Generalised Coffin-Manson Law
,” Acta Metall. Mater.
, 39
(11
), pp. 2631
–2638
. 0956-715152.
Hsin-Chang
, T.
Weileun
, F.
Determining the Poisson’s Ratio of Thin Film Materials Using Resonant Method
,” Sens. Actuators, A
0924-4247, A103
(3
), pp. 377
–383
.Copyright © 2009
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