36 citations · 163 across the 21 of their papers we have counts for
4 papers · 2 filters
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
Peter Lewintan, Stefan Müller, Patrizio Neff
Let be an open and bounded set with Lipschitz boundary and outward unit normal . For we establish an improved version of the generalized $L^…
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…
-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions
Peter Lewintan, Patrizio Neff
For we prove an -version of the generalized trace-free Korn inequality for incompatible tensor fields in $ W^{1,\,p}_0(\operatorname{Curl}; Ω,\mathbb{R}^{3\ti…
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…