The Open Applied Mathematics Journal
2008, 2 : 20-25Published online 2008 April 11. DOI: 10.2174/1874114200802010020
Publisher ID: TOAMJ-2-20
Asymptotic Models for the Topological Sensitivity Versus the Topological Derivative
Laboratory of Friction and
Wear, Research Institute of Mechanical Engineering Problems, V.O., Bolshoy
pr., 61, 199178 St. Petersburg, Russia.
ABSTRACT
An approach, based on the refined method of matched asymptotic expansions, is proposed for the construction of asymptotic models for the topological sensitivity of the energy functional with respect to the creation of a small hole in the geometrical domain. It is shown that the asymptotic model provides more information for calculations than the topological derivative.