Non UBC
DSpace
Morandotti, Marco
2019-03-21T08:27:56Z
2018-05-22T14:40
The theory of structured deformations shows good potential to deal with mechanical problems where multiple scales and fractures are present. Mathematically, it amounts to relaxing a given energy functional and to show also the relaxed one has an integral representation.
In this seminar, I will focus on a problem for thin objects: the derivation of a 2D relaxed energy via dimension reduction from a 3D energy, incorporating structured deformations in the relaxation procedure. I will discuss the two-step relaxation (first dimension reduction, then structured deformations and viceversa) and I will compare it with another result in which the two relaxation procedures are carried out simultaneously. An explicit example for purely interfacial initial energies will complete the presentation.
These results have been obtained in collaboration with G. Carita, J. Matias, and D.R. Owen.
https://circle.library.ubc.ca/rest/handle/2429/69011?expand=metadata
25.0
video/mp4
Author affiliation: Technische Universität München
Banff (Alta.)
10.14288/1.0377251
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Calculus of variations and optimal control; optimization
Partial differential equations
Dimension reduction in the context of structured deformations
Moving Image
http://hdl.handle.net/2429/69011