Peter Lewintan

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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…

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

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