The paper discusses a method for the evaluation of the yield values of a me
tal matrix composite material when subjected to a variation in temperature.
A direct shakedown analysis method is described which produces a shakedown
stress value as a result of a sequence of incompressible linear solutions
with a spatially varying modulus. The process converges to the minimum uppe
r bound associated with the class of displacement fields when implemented i
n a finite element method (Ponter and Carter [1,2]). The solutions for an A
luminum/alumina system loaded in a direction perpendicular to the direction
of the fibers demonstrate the high sensitivity of this material to fluctua
tions in temperature. Simple approximate equations for strength values are
presented in terms of nondimensional variables.