21 citations · 30 across the 3 of their papers we have counts for
6 papers
Grioli's Theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations
Andreas Fischle, Patrizio Neff
Let and consider the right polar decomposition into an orthogonal factor and a symmetric, positive definite facto…
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices
Lev Borisov, Andreas Fischle, Patrizio Neff
We consider the problem to determine the optimal rotations which minimize for a…
The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments
Andreas Fischle, Patrizio Neff, Dierk Raabe
The rotation arises as the unique orthogonal factor of the right polar decomposition of a given invertible matrix $F \…
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their computational validation
Andreas Fischle, Patrizio Neff
In any geometrically nonlinear, isotropic and quadratic Cosserat micropolar extended continuum model formulated in the deformation gradient field and th…
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D
Andreas Fischle, Patrizio Neff
In any geometrically nonlinear quadratic Cosserat-micropolar extended continuum model formulated in the deformation gradient field and the mic…
A logarithmic minimization property of the unitary polar factor in the spectral norm and the Frobenius matrix norm
Patrizio Neff, Yuji Nakatsukasa, Andreas Fischle
The unitary polar factor in the polar decomposition of the matrix is the minimizer for both and its Hermitian part $\| \mathrm{sym Log}(Q^…