A method for laser shock peening an article, such as a gas turbine engine
airfoil, with varying thickness by varying a surface fluence of a laser
beam over a laser shock peening surface as a function of the thickness
beneath a laser shock peened spot formed by the beam on the surface. The
fluence may be equal to the thickness multiplied by a volumetric fluence
factor, the volumetric fluence factor being held constant over the laser
shock peening surface. The volumetric fluence factor may be in a range of
about 1200 J/cm.sup.3 to 1800 J/cm.sup.3 and more particularly about 1500
J/cm.sup.3. The method may include varying energy in the laser beam using
a computer program controlling firing of the laser beam. A device such as
an optical attenuator external to a laser performing firing may be used
to vary the energy.