Stable Identification of Linear Isotropic Cosserat Parameters: Bounded Stiffness in Bending and Torsion Implies Conformal Invariance of Curvature P Neff, J Jeong, A Fischle Acta Mechanica 211 (3-4), 237-249, 2010 | 89 | 2010 |
A Logarithmic Minimization Property of the Unitary Polar Factor in the Spectral and Frobenius Matrix Norms P Neff, Y Nakatsukasa, A Fischle SIAM J. Matrix Anal. 35 (3), 1132-1154, 2014 | 45* | 2014 |
Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom P Neff, A Fischle, I Münch Acta Mechanica 197, 19-30, 2008 | 41 | 2008 |
The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part I: A general parameter reduction formula and energy‐minimizing microrotations in 2D A Fischle, P Neff ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2017 | 18 | 2017 |
The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part II: Non‐classical energy‐minimizing microrotations in 3D and their computational validation A Fischle, P Neff ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2017 | 17 | 2017 |
The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments A Fischle, P Neff, D Raabe arXiv preprint arXiv:1603.06633, 2016 | 12 | 2016 |
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices L Borisov, A Fischle, P Neff ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2019 | 9 | 2019 |
Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square P Neff, A Fischle, L Borisov SIAM journal on applied algebra and geometry 3 (1), 31-43, 2019 | 9 | 2019 |
Grioli's Theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations A Fischle, P Neff arXiv preprint arXiv:1701.08150, 2017 | 8 | 2017 |
The Planar Cosserat Model - Minimization of the Shear Energy on SO(2) and Relations to Geometric Function Theory (Diploma Thesis) A Fischle Technische Universitaet Darmstadt, 2007 | 6* | 2007 |
Coupling library for LifeV and FEAP A Fischle, A Heinlein, A Klawonn, O Rheinbach Unpublished, 2014 | 4 | 2014 |
A Parallel Newton-Krylov-FETI-DP Solver Based on FEAP A Fischle PhD thesis, Fakultät für Mathematik, Universität Duisburg-Essen, 2015 | 2 | 2015 |
Explicit optimal Cosserat rotations A Fischle, P Neff Poster, Technische Universität Dresden, University of Duisburg-Essen, 2017 | 1 | 2017 |
Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom. A Fischle, P Neff, I Münch PAMM: Proceedings in Applied Mathematics and Mechanics 8 (1), 10419-10420, 2008 | 1 | 2008 |
ruhr. paD L Borisov, A Fischle, P Neff | | 2017 |
A parallel Newton-Krylov-FETI-DP Solver based on FEAP: Large-scale applications and scalability for problems in the mechanics of soft biological tissues in arterial wall structures A Fischle Duisburg, Essen, 2014, 2014 | | 2014 |
The unitary polar factor Q= Up minimizes Log (Q Z) 2 and sym P Neff, Y Nakatsukasa, A Fischle arXiv preprint arXiv:1302.3235, 2013 | | 2013 |
Parallel Simulation of Biological Soft Tissue A Fischle, A Klawonn, O Rheinbach, J Schröder PAMM 12 (1), 767-768, 2012 | | 2012 |
Energy-minimizing Cosserat Microrotations A Fischle, P Neff | | |