A study is made of the plane strain problem to determine the stress intensi
ty factor for a Griffith crack in an orthotropic elastic layer with punches
located along the boundaries of the layer. The problem is reduced to the s
olution of a pair of simultaneous singular integral equations with the Cauc
hy type singularities. These integral equations are then solved approximate
ly by using the Chebyshev polynomials. An expression for the stress intensi
ty factor (SIF) for the case of a general loading is obtained. Numerical re
sults for the SIF are presented graphically for some particular cases of in
terest. (C) 2001 Elsevier Science Ltd. All rights reserved.