33 citations · 38 across the 5 of their papers we have counts for
5 papers
Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions
Frank Osterbrink, Dirk Pauly
We prove that the time-harmonic solutions to Maxwell's equations in a 3D exterior domain converge to a certain static solution as the frequency tends to zero. We work in weighted S…
Time-Harmonic Electro-Magnetic Scattering in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions
Frank Osterbrink, Dirk Pauly
This paper treats the time-harmonic electro-magnetic scattering or radiation problem governed by Maxwell's equations in an exterior weak Lipschitz domain divided into two disjoint…
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
Johannes Lankeit, Patrizio Neff, Frank Osterbrink
In this note we extend integrability conditions for the symmetric stretch tensor in the polar decomposition of the deformation gradient to the non-symmetric ca…
Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
Patrizio Neff, Mircea Bîrsan, Frank Osterbrink
We reconsider the geometrically nonlinear Cosserat model for a uniformly convex elastic energy and write the equilibrium problem as a minimization problem. Applying the direct meth…
A Riemannian approach to strain measures in nonlinear elasticity
Patrizio Neff, Bernhard Eidel, Frank Osterbrink +1
The isotropic Hencky strain energy appears naturally as a distance measure of the deformation gradient to the set SO(n) of rigid rotations in the canonical left-invariant Riemannia…