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Andreas Fischle
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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
862010
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
41*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
402008
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
152017
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
142017
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
112016
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
82019
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
72019
Grioli’s Theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations
A Fischle, P Neff
Rendiconti Lincei 28 (3), 573-600, 2017
62017
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
5*2007
Coupling library for LifeV and FEAP
A Fischle, A Heinlein, A Klawonn, O Rheinbach
Unpublished, 2014
42014
A Parallel Newton-Krylov-FETI-DP Solver Based on FEAP
A Fischle
PhD thesis, Fakultät für Mathematik, Universität Duisburg-Essen, 2015
22015
Explicit optimal Cosserat rotations
A Fischle, P Neff
Poster, Technische Universität Dresden, University of Duisburg-Essen, 2017
12017
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
12008
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
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