Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Bîrsan, Mircea"'
We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by B\^irsan, Ghiba, Martin, and Neff in 2019. The shell model includes curvature terms up to order 5 in th
Externí odkaz:
http://arxiv.org/abs/2304.11329
In this paper we derive the linear elastic Cosserat shell model incorporating effects up to order $O(h^5)$ in the shell thickness $h$ as a particular case of the recently introduced geometrically nonlinear elastic Cosserat shell model. The existence
Externí odkaz:
http://arxiv.org/abs/2208.04574
Publikováno v:
Journal of Elasticity (2021)
We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order $O(h^5)$ in the shell thickness $h$. We develop the corresponding geometrically nonlinear constrained Cosserat shell model, we sh
Externí odkaz:
http://arxiv.org/abs/2010.14308
We show the existence of global minimizers for a geometrically nonlinear isotropic elastic Cosserat 6-parameter shell model. The proof of the main theorem is based on the direct methods of the calculus of variations using essentially the convexity of
Externí odkaz:
http://arxiv.org/abs/2003.08594
We present a new geometrically nonlinear Cosserat shell model incorporating effects up to order $O(h^5)$ in the shell thickness $h$. The method that we follow is an educated 8-parameter ansatz for the three-dimensional elastic shell deformation with
Externí odkaz:
http://arxiv.org/abs/2003.00549
Publikováno v:
In International Journal of Solids and Structures 15 December 2023 285
Autor:
Bîrsan, Mircea
Starting from the three-dimensional Cosserat elasticity, we derive a two-dimensional model for isotropic elastic shells. For the dimensional reduction, we employ a derivation method similar to that used in classical shell theory, as presented systema
Externí odkaz:
http://arxiv.org/abs/2001.06425
Autor:
Bîrsan, Mircea
In this paper we investigate the deformation of cylindrical linearly elastic shells using the Koiter model. We formulate and solve the relaxed Saint-Venant's problem for thin cylindrical tubes made of isotropic and homogeneous elastic materials. To t
Externí odkaz:
http://arxiv.org/abs/2001.06336
Publikováno v:
In Mechanics of Materials September 2023 184
Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensional shell model. Curvature effects are fully taken into account. For e
Externí odkaz:
http://arxiv.org/abs/1909.12585