A method is introduced for efficient reliability-based design of laser peening (LP) surface treatment to extend fatigue life of metal components. The method includes nonparametric probability density estimation, surrogate modeling using a new finite element (FE or FEA) approach, and reliability analysis with correlated random variables (RVs). Efficient LP simulation is achieved via a new technique termed single explicit analysis using time-dependent damping (SEATD), which reduces simulation times by a factor of 6. The example study of a three-point bend coupon reveals that fatigue life reliability significantly affects optimal LP design, as 52 laser spots are needed for 99% reliability versus 44 spots for 95%.
Issue Section:
Research Papers
Topics:
Damping,
Design,
Lasers,
Optimization,
Reliability,
Simulation,
Pressure,
Stress,
Finite element analysis
References
1.
Ding
, K.
, and Ye
, L.
, 2006
, Laser Shock Peening, Process Performance and Simulation
, CRC Press
, Boca Raton, FL
.2.
Clauer
, A. H.
, Walters
, C. T.
, and Ford
, S. C.
, 1983
, “The Effects of Laser Shock Processing on the Fatigue Properties of 2024-T3 Aluminum
,” Lasers in Material Processing
, E. A.
Metzbower
, ed., American Society for Metals
, Metals Park, OH
, pp. 7
–22
.3.
Johnson
, J. N.
, and Rohde
, R. W.
, 1971
, “Dynamic Deformation Twinning in Shock-Loaded Iron
,” J. Appl. Phys.
, 42
(11
), pp. 4171
–4182
.4.
Ballard
, P.
, Fournier
, J.
, Fabbro
, R.
, and Frelat
, J.
, 1991
, “Residual Stresses Induced by Laser-Shocks
,” J. Phys. IV
, 1
(C3
), pp. 487
–494
.5.
Braisted
, W. R.
, and Brockman
, R. A.
, 1999
, “Finite Element Simulation of Laser Shock Peening
,” Int. J. Fatigue
, 21
(7
), pp. 719
–724
.6.
Wu
, B. X.
, and Shin
, Y. C.
, 2005
, “A Self-Closed Thermal Model for Laser Shock Peening Under the Water Confinement Regime Configuration and Comparisons to Experiments
,” J. Appl. Phys.
, 97
(11
), p. 113517
.7.
Zhang
, W.
, Yao
, Y. L.
, and Noyan
, I. C.
, 2004
, “Microscale Laser Shock Peening of Thin Films, Part 1: Experiment, Modeling and Simulation
,” ASME J. Manuf. Sci. Eng.
, 126
(1
), pp. 10
–17
.8.
Spradlin
, T. J.
, 2011
, “Process Sequencing for Fatigue Life Extension of Large Scale Laser Peened Components
,” Ph.D. thesis, Wright State University, Dayton, OH.9.
Peyre
, P.
, Chaieb
, I.
, and Braham
, C.
, 2007
, “FEM Calculation of Residual Stresses Induced by Laser Shock Processing in Stainless Steels
,” Modell. Simul. Mater. Sci.
, 15
(3
), pp. 205
–221
.10.
Singh
, G.
, and Grandhi
, R.
, 2010
, “Mixed-Variable Optimization Strategy Employing Multifidelity Simulation and Surrogate Models
,” AIAA J.
, 48
(1
), pp. 215
–223
.11.
Brockman
, R. A.
, Braisted
, W. R.
, Olson
, S. E.
, Tenaglia
, R. D.
, Clauer
, A. H.
, Langer
, K.
, and Shepard
, M. J.
, 2012
, “Prediction and Characterization of Residual Stress From Laser Shock Peening
,” Int. J. Fatigue
, 36
(3
), pp. 96
–108
.12.
Peyre
, P.
, Berthe
, L.
, Vignal
, V.
, Popa
, I.
, and Baudin
, T.
, 2012
, “Analysis of Laser Shock Waves and Resulting Surface Deformations in an Al–Cu–Li Aluminum Alloy
,” J. Phys. D: Appl. Phys.
, 45
(33
), p. 335304
.13.
Bhamare
, S.
, Ramakrishnan
, G.
, Mannava
, S. R.
, Langer
, K.
, Vasudevan
, V. K.
, and Qian
, D.
, 2013
, “Simulation-Based Optimization Of Laser Shock Peening Process For Improved Bending Fatigue Life of Ti–6Al–2Sn–4Zr–2Mo Alloy
,” Surf. Coat. Technol.
, 232
, pp. 464
–474
.14.
Hu
, Y.
, Han
, Y.
, Yao
, Z.
, and Hu
, J.
, 2010
, “Three-Dimensional Numerical Simulation and Experimental Study of Sheet Metal Bending by Laser Peen Forming
,” ASME J. Manuf. Sci. Eng.
, 132
(6
), p. 061001
.15.
ABAQUS Keywords Reference Guide, v6.13
, 2013
, Dassault Systèmes.16.
Hasser
, P. J.
, 2014
, “An Efficient Reliability-Based Simulation Framework for Optimum Laser Peening Treatment
,” M.S. thesis, Saint Louis University, St. Louis, MO.17.
Cook
, R.
, Malkus
, D.
, Plesha
, M.
, and Witt
, R.
, 2002
, Concepts and Applications of Finite Element Analysis
, Wiley
, Hoboken, NJ
, Chap. 17.18.
ABAQUS Theory Guide, (v6.13)
, 2013
, Dassault Systèmes.19.
Hu
, Y.
, Yao
, Z.
, and Hu
, J.
, 2006
, “3-D FEM Simulation of Laser Shock Peening
,” Surf. Coat. Technol.
, 201
(3–4
), pp. 1426
–1435
.20.
Richardson
, L. F.
, 1911
, “The Approximate Arithmetical Solution by Finite Difference of Physical Problems Involving Differential Equations, With an Application to the Stresses in a Masonary Dam
,” R. Soc. London Philos. Trans. A
, 210
(45
), pp. 307
–357
.21.
Underwood
, P.
, 1983
, Dynamic Relaxation, in Computational Method for Transient Analysis
, Elsevier
, Amsterdam, The Netherlands
, pp. 245
–256
.22.
Cao
, Y.
, Shin
, Y. C.
, and Wu
, B.
, 2010
, “Parametric Study on Single Shot and Overlapping Laser Shock Peening on Various Metals Via Modeling and Experiments
,” ASME J. Manuf. Sci. Eng.
, 132
(6
), p. 061010
.23.
Clauer
, A. H.
, Holbrook
, J. H.
, and Fairand
, B. P.
, 1981
, “Effects of Laser Induced Shockwaves on Metals
,” Shock Waves and High-Strain-Rate Phenomena in Metals
, M. A.
Meyers
and L. E.
Murr
, eds., Plenum Publishing
, New York
, Chap. 38.24.
Clauer
, A. H.
, 1996
, “Laser Shock Peening for Fatigue Resistance
,” Surface Performance of Titanium
, J. K.
Gregory
, H. J.
Rack
, and D.
Eylon
, eds., The Minerals, Metals and Materials Society
, Warrendale, PA
, pp. 217
–230
.25.
Peyre
, P.
, and Fabbro
, R.
, 1995
, “Laser Shock Processing: A Review of the Physics and Applications
,” Opt. Quantum Electron.
, 27
(12
), pp. 1213
–1229
.26.
Singh
, G.
, Ocampo
, J.
, Millwater
, H.
, and Clauer
, A.
, 2012
, “Simulation-Based Crack Growth Mitigation Through Optimum Laser Peened Residual Stress
,” Int. J. Struct. Integr.
, 3
(3
), pp. 236
–259
.27.
Hu
, Y.
, Li
, Z.
, Li
, K.
, and Yao
, Z.
, 2014
, “Predictive Modeling and Uncertainty Quantification of Laser Shock Processing by Bayesian Gaussian Processes With Multiple Outputs
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), p. 041014
.28.
Park
, I.
, and Grandhi
, R. V.
, 2014
, “A Bayesian Statistical Method for Quantifying Model Form Uncertainty and Two Model Combination Methods
,” Reliab. Eng. Syst. Saf.
, 129
, pp. 46
–56
29.
Forrester
, A. I. J.
, and Keane
, A. J.
, 2009
, “Recent Advances in Surrogate-Based Optimization
,” Prog. Aerosp. Sci.
, 45
(1–3
), pp. 50
–79
.30.
Haldar
, A.
, and Mahadevan
, S.
, 2000
, Reliability Assessment Using Stochastic Finite Element Analysis
, Wiley
, New York
.31.
Choi
, S.-K.
, Grandhi
, R. V.
, and Canfield
, R. A.
, 2007
, Reliability-Based Structural Design
, Springer-Verlag
, London, UK
.32.
Luong
, H.
, and Hill
, M. R.
, 2008
, “The Effects of Laser Peening on High-Cycle Fatigue in 7085-T7651 Aluminum Alloy
,” Mater. Sci. Eng.
, 477
(1–2
), pp. 208
–216
.33.
Lesuer
, D. R.
, 2000
, “Experimental Investigations of Material Models for Ti-6A1-4V Titanium and 2024-T3 Aluminum
,” Lawrence Livermore National Laboratory, Livermore, CA, Report No. DOT/FAA/AR-00/25.34.
Jones
, D. R.
, 2001
, “A Taxonomy of Global Optimization Methods Based on Response Surfaces
,” J. Global Optim.
, 21
(4
), pp. 345
–383
.35.
Forrester
, A. I. J.
, Sóbester
, A.
, and Keane
, A. J.
, 2008
, Engineering Design via Surrogate Modelling: A Practical Guide
, Wiley
, Chichester, UK
.36.
Lampman
, S. R.
, and Dimatteo
, N. D.
, eds., 1996
, ASM Handbook: Volume 19: Fatigue and Fracture
, ASM International
, Materials Park, OH
, Sect. 6.37.
McKay
, M. D.
, Beckman
, R. J.
, and Conover
, W. J.
, 1979
, “A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code
,” Technometrics
, 21
(2
), pp. 239
–245
.38.
Iman
, R.
, and Davenport
, J.
, 1980
, “Rank Correlation Plots for Use With Correlated Input Variables in Simulation Studies
,” Sandia National Laboratories, Albuquerque, NM, Report No. SAND80-1903.39.
Helton
, J.
, and Davis
, F.
, 2003
, “Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems
,” Reliab. Eng. Syst. Saf.
, 81
(1
), pp. 23
–69
.40.
Voothaluru
, R.
, and Liu
, C. R.
, 2010
, “Finite Element Analysis of Overlapping Impacts of Laser Shock Peening Within Annealed AISI 1053 Steel
,” ASME
Paper No. MSEC2010-34164.41.
Hasofer
, A. M.
, and Lind
, N. C.
, 1974
, “Exact and Invariant Second-Moment Code Format
,” J. Eng. Mech. Div., ASCE
, 100
(1
), pp. 111
–121
.42.
Hohenbichler
, M.
, and Rackwitz
, R.
, 1981
, “Non-Normal Dependent Vectors in Structural Safety
,” J. Eng. Mech. Div., ASCE
, 107
(6
), pp. 1227
–1238
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