DocumentCode
646547
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
fYear
2013
fDate
26-29 Aug. 2013
Firstpage
534
Lastpage
525
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/MMAR.2013.6669965
Filename
6669965
Link To Document