Shape-topological differentiability of energy functionals in domains with cracks
Leugering G, Sokolowski J, Zochowski A, Sokolowski J, Zochowski A (2013)
Publication Status: Published
Publication Type: Conference contribution, Conference Contribution
Publication year: 2013
Publisher: IEEE SERVICE CENTER, 445 HOES LANE, PO BOX 1331, PISCATAWAY, NJ 08855-1331 USA
Pages Range: 524-531
Event location: Miedzyzdroje
ISBN: 9781467355063
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84893506756&origin=inward
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. © 2013 West Pomeranian University of Technology.
Authors with CRIS profile
Involved external institutions
Université de Lorraine
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
How to cite
APA:
Leugering, G., Sokolowski, J., Zochowski, A., Sokolowski, J., & Zochowski, A. (2013). Shape-topological differentiability of energy functionals in domains with cracks. In Proceedings of the 2013 18th International Conference on Methods and Models in Automation and Robotics, MMAR 2013 (pp. 524-531). Miedzyzdroje: IEEE SERVICE CENTER, 445 HOES LANE, PO BOX 1331, PISCATAWAY, NJ 08855-1331 USA.
MLA:
Leugering, Günter, et al. "Shape-topological differentiability of energy functionals in domains with cracks." Proceedings of the 2013 18th International Conference on Methods and Models in Automation and Robotics, MMAR 2013, Miedzyzdroje IEEE SERVICE CENTER, 445 HOES LANE, PO BOX 1331, PISCATAWAY, NJ 08855-1331 USA, 2013. 524-531.
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