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Rate-form equilibrium for an isotropic Cauchy-elastic formulation: Part I: modeling
Patrizio Neff, Nina J. Husemann, Sebastian Holthausen +2
We derive the rate-form spatial equilibrium system for a nonlinear Cauchy elastic formulation in isotropic finite-strain elasticity. For a given explicit Cauchy stress-strain const…
Global existence and uniqueness of weak solutions for a Willis-type model of elastodynamics
Thomas Blesgen, Patrizio Neff
The existence and uniqueness of weak solutions is shown for a system related to the Willis model of elastodynamics. Both the whole space case and the case of a bounded smooth domai…
The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity
Thomas Blesgen, Patrizio Neff
The zero and first order Gamma-limit of vanishing internal length scale are studied for the mechanical energy of a shear problem in geometrically nonlinear Cosserat elasticity. The…
Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations and occurrence of microstructure
Thomas Blesgen, Patrizio Neff
Deformation microstructure is studied for a 1D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically for…
On the Allen-Cahn/Cahn-Hilliard system with a geometrically linear elastic energy
Thomas Blesgen, Anja Schlömerkemper
We present an extension of the Allen-Cahn/Cahn-Hilliard system which incorporates a geometrically linear ansatz for the elastic energy of the precipitates. The model contains both…