The identification of a unilateral
frictionless crack is performed in nonlinear elastostatics by using boundary
measurements for given static loadings. The procedure proposed takes into
account the possibility of a partial or total closure of the crack during
the identification process; that makes the present formulation more complex
than others referred to permanently open cracks. The Linear Complementarity
Problem (LCP), which provides at each step contact tractions and relative
displacements along the crack, is discretised by means of the Dual
Boundary Element Method (DBEM) and solved explicitly by Lemke's algorithm.
The identification procedure is based on a first-order nonlinear
optimisation technique in which the gradients of the cost function are
obtained by solving again a LCP with a considerably reduced number of
variables. Some numerical examples show the applicability of the method
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