Nonlinear programming approaches for an inverse problem in quasibrittle fracture

✍ Scribed by F. Tin-Loi; N.S. Que

• Book ID: 104140199
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 185 KB
• Volume: 44
• Category: Article
• ISSN: 0020-7403
• DOI: 10.1016/s0020-7403(02)00035-8

✦ Synopsis

Characterization of the parameters describing the cohesive crack model is an important and di cult problem. Based on the availability of load-de ection data, obtained from such standard tests as the three-point bending and wedge splitting experiments, we formulate the required parameter identiÿcation as a special type of inverse problem. The formulation is in the form of a constrained optimization problem known as a mathematical program with equilibrium constraints characterized, in the present instance, by complementarity conditions involving the orthogonality of two sign-constrained vectors. Due to the di culty of solving such a mathematical program directly, we investigate a number of numerical algorithms that are all based on solving a series of standard nonlinear programming problems. Computational results, using actual experimental data, are presented to compare the various schemes proposed.