46 citations · 116 across the 15 of their papers we have counts for
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A linear isotropic Cosserat shell model including terms up to . Existence and uniqueness
Ionel-Dumitrel Ghiba, Mircea Birsan, Patrizio Neff
In this paper we derive the linear elastic Cosserat shell model incorporating effects up to order in the shell thickness as a particular case of the recently introduce…
A constrained Cosserat shell model up to order : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1
We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order in the shell thickness . We develop the corresp…
The isotropic Cosserat shell model including terms up to . Part II: Existence of minimizers
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1
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 me…
Derivation of a refined 6-parameter shell model: Descent from the three-dimensional Cosserat elasticity using a method of classical shell theory
Mircea Bîrsan
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 metho…
Closed-form Saint-Venant solutions in the Koiter theory of shells
Mircea Bîrsan
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 cylin…
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin +1
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-dimensio…