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math.AP2013
Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
Mircea Birsan, Patrizio Neff
In the framework of the geometrically nonlinear 6-parameter resultant shell theory we give a characterization of the shells without drilling rotations. These are shells for which t…
math.AP2013
On the characterization of drilling rotation in the 6-parameter resultant shell theory
Mircea Birsan, Patrizio Neff
We analyze geometrically non-linear isotropic elastic shells and prove the existence of minimizers. In general, the model takes into account the effect of drilling rotations in she…
math.CA2013
Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm
Mircea Birsan, Patrizio Neff, Johannes Lankeit
Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality hold…