F. Tin-loi et Ns. Que, Parameter identification of quasibrittle materials as a mathematical program with equilibrium constraints, COMPUT METH, 190(43-44), 2001, pp. 5819-5836
Citations number
47
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
The identification of the cohesive fracture parameters of quasibrittle mate
rials forms the focus of the present work. This important and challenging t
ask is formulated as an inverse problem, requiring the solution of a specia
l type of constrained optimization problem known as a Mathematical Program
with Equilibrium Constraints (MPEC). a key feature of which is the presence
of complementarity conditions involving the orthogonality of two nonnegati
ve vectors. We propose a simple scheme. based on transforming the MPEC into
a standard nonlinear programming problem through appropriate smoothing of
the complementarity constraints. for solving the parameter identification p
roblem. Some computational results. using actual experimentally obtained da
ta, are presented to assess the effectiveness of the approach. (C) 2001 Els
evier Science BN. All rip,hts reserved.