An asymptotic model is presented for the crack-micro-crack interaction in a
material characterized by a low resistance to shear. The material mentione
d is obtained by homogenization of the discrete periodic structure used in
the design of a catalytic monolith combustor. The results of the asymptotic
analysis enable one to compute the stress-intensity factors and predict th
e shape of the crack trajectory. (C) 2000 Elsevier Science Ltd. All rights
reserved.