An optimization approach for indirect identification of cohesive crack properties
A novel computational scheme to deal efficiently and robustly with the solution of a parameter identification problem associated with the cohesive crack model under mode I behavior is proposed. The formulation of this special type of inverse problem takes the form of a challenging optimization problem known in the mathematical programming literature as a Mathematical Program with Equilibrium Constraints (MPEC). The so called equilibrium constraints are complementarity constraints involving the orthogonality of two sign-constrained vectors. We propose, in this paper, a smoothing-based optimization algorithm involving data grouping and aggregation. Actual experimental data from both three point bending and wedge splitting tests are used to illustrate applicability of the proposal.
parameter identification cohesive crack model mathematical program