M. Bîrsan

activity

20122023

most citedExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

46 citations · 116 across the 15 of their papers we have counts for

collaborators

16 papers

math.NA2023★ 1 cited

A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements

Lisa Julia Nebel, Oliver Sander, Mircea Bîrsan +1

We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by Bîrsan, Ghiba, Martin, and Neff i…

math.AP2022

A linear isotropic Cosserat shell model including terms up to $O (h^{5})$ . 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 $O (h^{5})$ in the shell thickness $h$ as a particular case of the recently introduce…

math.AP2020★ 15 cited

A constrained Cosserat shell model up to order $O (h^{5})$ : 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 $O (h^{5})$ in the shell thickness $h$ . We develop the corresp…

math.AP2020

The isotropic Cosserat shell model including terms up to $O (h^{5})$ . 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…

math-ph2020

The isotropic Cosserat shell model including terms up to $O (h^{5})$ . Part I: Derivation in matrix notation

Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1

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-para…

math.AP2020★ 20 cited

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…

A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements

A linear isotropic Cosserat shell model including terms up to O(h5). Existence and uniqueness

A constrained Cosserat shell model up to order O(h5): Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

The isotropic Cosserat shell model including terms up to O(h5). Part II: Existence of minimizers

The isotropic Cosserat shell model including terms up to O(h5). Part I: Derivation in matrix notation

Derivation of a refined 6-parameter shell model: Descent from the three-dimensional Cosserat elasticity using a method of classical shell theory

A linear isotropic Cosserat shell model including terms up to $O (h^{5})$ . Existence and uniqueness

A constrained Cosserat shell model up to order $O (h^{5})$ : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

The isotropic Cosserat shell model including terms up to $O (h^{5})$ . Part II: Existence of minimizers

The isotropic Cosserat shell model including terms up to $O (h^{5})$ . Part I: Derivation in matrix notation