46 citations · 46 across the 3 of their papers we have counts for
3 papers
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…
math.AP2012★ 46 cited
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,…