Title :
Shape-topological differentiability of energy functionals in domains with cracks
Author :
Leugering, Gunter ; Sokolowski, John ; Zochowski, Antoni
Author_Institution :
Dept. Math., Friedrich-Alexander-Univ. Erlangen-Nurnberg, Erlangen, Germany
Abstract :
We introduce the Griffith shape functional as the distributed shape derivative of the elastic energy evaluated in a domain with a crack, with respect to the crack length. We are interested in the dependence of this functional on domain perturbations far from the crack. As a result, the directional shape and topological derivatives of the nonsmooth Griffith shape functional are obtained with respect to the boundary variations of an inclusion.
Keywords :
boundary-value problems; cracks; elasticity; crack length; domain perturbations; elastic energy; energy functionals; nonsmooth Griffith shape functional; shape topological differentiability; Abstracts; Elasticity; Electronic mail; Mathematical model; Optimization; Sensitivity analysis; Shape; Griffith´s functional; crack with nonpenetration condition; energy functional; shape gradient; topological derivative;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4673-5506-3
DOI :
10.1109/MMAR.2013.6669965
