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Extension of 2D FEniCS implementation of Cosserat non-local elasticity to the 3D case
Sautot, Camille; Bordas, Stéphane; Hale, Jack
2014
 

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Keywords :
Cosserat; finite elements; 3D
Abstract :
[en] The objective of the study is the extension of the existing 2D FEniCS implementation of Cosserat elasticity to the 3D case. The first step is the implementation of a patch-test for a simple problem in classical elasticity as a Timoshenko's beam - this study will show that DOLFIN could offer approximated solutions converging to the analytical solution. The second step is the computation of the stress in a plate with a circular hole. The stress concentration factors around the hole in classical and Cosserat elasticities will be compared, and a convergence study for the Cosserat case will be realised. The third step is the extension to the 3D case with the computation of the stress concentration factor around a spherical cavity in an infinite elastic medium. This computed value will be compare to the analytical solution described by couple-stress theory.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Sautot, Camille;  ISMANS
Other collaborator :
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Hale, Jack  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Language :
English
Title :
Extension of 2D FEniCS implementation of Cosserat non-local elasticity to the 3D case
Publication date :
September 2014
Focus Area :
Computational Sciences
Commentary :
This report was written by Camille Sautot during her undergraduate internship at the University of Luxembourg under the supervision of Jack S. Hale and Stéphane P. A. Bordas.
Available on ORBilu :
since 11 September 2014

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