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20112013
most citedExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

46 citations · 51 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP20131 cited

The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects

Krzysztof Chelminski, Patrizio Neff, Sebastian Owczarek

We propose an extension of the cyclic hardening plasticity model formulated by Armstrong and Frederick which includes micropolar effects. Our micropolar extension establishes coerc…

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.AP201246 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,…

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)<=…

math.AP20114 cited

A Canonical Extension of Korn's First Inequality to H(Curl) motivated by Gradient Plasticity with Plastic Spin

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch

We prove a Korn-type inequality in H(Curl) for tensor fields.