1
American Institute of Aeronautics and Astronautics
Sensitivity Analysis of Laser Peening,
a Fatigue Life Enhancement Process
Gulshan Singh
*
, Miguel Cortina
#
, and Harry Millwater
†
University of Texas at San Antonio, TX 78249, USA
Fatigue failure is a common type of problem for airframe structures especially with the
growth in the number of aging aircrafts. Laser peening (LP) is a surface enhancement
technique that improves surface fatigue properties by inducing compressive stresses on the
peened surface and has been applied to many aerospace components such as turbine blades,
lugs, and boltholes. Experiments- and/or simulation-based parametric studies or
deterministic optimization methods have been applied in the literature to determine the LP
parameters for an application. However, LP is a very high-speed (nano seconds) process that
involves uncertainties in the component, material, and laser peening process. Therefore,
parametric studies and a deterministic approach are not sufficient and it is valuable to
compute the probabilistic and localized sensitivities for the fatigue life with respect to the
laser peening variables. An in-depth sensitivity analysis can provide a better understanding
of the process, reduce the number of experiments and simulations, and make the LP process
a cost-affective surface treatment for aerospace applications. A probabilistic sensitivity
analysis using several different methods was conducted in order to determine the
importance and relative ranking of the laser peening random variables for a crack growing
from a bolthole.
Nomenclature
E . []
= expected value operator over entire sample space
f = PDF
F = CDF
g = limit state function
I = indicator function (I=1 in failure region, I=0 otherwise)
n = number of random variables
N = number of Monte Carlo samples
P
f
= probability-of-failure
x = random variable
X = vector random variable
κ
θ
= kernel function with respect to an arbitrary distribution parameter θ
z = response function
µ = mean
σ = standard deviation
θ = arbitrary PDF parameter
p = pressure pulse magnitude of laser peening process
*
Post-Doctoral Researcher, Department of Mechanical Engineering, UTSA and AIAA member.
#
Graduate Student, Department of Mechanical Engineering, UTSA and AIAA student member.
†
Professor, Department of Mechanical Engineering, UTSA and AIAA member.
52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference<BR> 19th
4 - 7 April 2011, Denver, Colorado
AIAA 2011-2145
Copyright © 2011 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.