281 citations · 2.1k across the 125 of their papers we have counts for
5 papers · 1 filter
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
Mircea Birsan, Patrizio Neff
The paper is concerned with the geometrically non-linear theory of 6-parametric elastic shells with drilling degrees of freedom. This theory establishes a general model for shells,…
On the convexity of the function C --> f(det C) on positive definite matrices
Stephan Lehmich, Patrizio Neff, Johannes Lankeit
We prove a condition on f \in C^2(\R+,\R) for the convexity of (f o det) on PSym(n), namely that f o det is convex on PSym(n) if and only if f"(s)+(n-1)/(ns) f'(s) >= 0 and f'(s)<=…
Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity
Johannes Lankeit, Patrizio Neff, Dirk Pauly
For a Lipschitz domain we show that solutions of certain first order systems are unique. This result is then applied to prove a crucial step for showing Korn's first inequality as…
Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates
Mircea Birsan, Patrizio Neff
In this paper we show the existence of global minimizers for the geometrically exact, non-linear equations of elastic plates, in the framework of the general 6-parametric shell the…
Poincare meets Korn via Maxwell: Extending Korn's First Inequality to Incompatible Tensor Fields
Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
For a bounded three-dimensional domain with Lipschitz boundary we extend Korn's first inequality to incompatible tensor fields. For compatible tensor fields our estimate reduces to…