Peter Lewintan

collaborators

5 papers

math.DG2021

On in-plane drill rotations for Cosserat surfaces

Maryam Mohammadi Saem, Peter Lewintan, Patrizio Neff

We show under some natural smoothness assumptions that pure in-plane drill rotations as deformation mappings of a $C^{2}$ -smooth regular shell surface to another one parametrized ove…

math.AP2020

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

Peter Lewintan, Stefan Müller, Patrizio Neff

Let $Ω \subset R^{3}$ be an open and bounded set with Lipschitz boundary and outward unit normal $ν$ . For $1 < p < \infty$ we establish an improved version of the generalized $L^…

math.AP2020

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…

On in-plane drill rotations for Cosserat surfaces

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

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

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