A method for determining the elastic constants of an isotropic material, ba
sed on crack edge displacement data, is extended to an orthotropic material
. Complex potentials are used to obtain the stresses and displacements for
plane strain. Mode I crack problems in three mutually orthogonal planes are
considered and solved. In particular, the expressions of crack edge displa
cements are obtained in an explicit form. An iterative statistical identifi
cation method, based on a Bayesan approach, is used to identify the elastic
constants of an orthotropic medium from the Mode I crack displacements mea
sured from the mid-point of the crack. Some graphics are displayed to illus
trate the convergence of the pertinent parameters and the approach of the a
nalytical displacements to their experimental values. (C) 1999 Elsevier Sci
ence B.V. All rights reserved.