Inverse and crack identification problems are of paramount importance
for health monitoring and quality control purposes arising in critical
applications in civil, aeronautical, nuclear, and general mechanical
engineering. Mathematical modeling and the numerical study of these
problems require high competence in computational mechanics and applied
optimization. This is the first monograph which provides the reader with
all the necessary information. Delicate computational mechanics
modeling, including nonsmooth unilateral contact effects, is done using
boundary element techniques, which have a certain advantage for the
construction of parametrized mechanical models. Both elastostatic and
harmonic or transient dynamic problems are considered. The inverse
problems are formulated as output error minimization problems and they
are theoretically studied as a bilevel optimization problem, also known
as a mathematical problem with equilibrium constraints. Beyond classical
numerical optimization, soft computing tools (neural networks and
genetic algorithms) and filter algorithms are used for the numerical
solution.
The book provides all the required material for the mathematical and
numerical modeling of crack identification testing procedures in statics
and dynamics and includes several thoroughly discussed applications, for
example, the impact-echo nondestructive evaluation technique.
Audience: The book will be of interest to structural and mechanical
engineers involved in nondestructive testing and quality control
projects as well as to research engineers and applied mathematicians who
study and solve related inverse problems. People working on applied
optimization and soft computing will find interesting problems to apply
to their methods and all necessary material to continue research in this
field
