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math-ph2015★ 5 cited
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
Johannes Lankeit, Patrizio Neff, Frank Osterbrink
In this note we extend integrability conditions for the symmetric stretch tensor in the polar decomposition of the deformation gradient to the non-symmetric ca…
math-ph2012
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)<=…