16 citations · 39 across the 18 of their papers we have counts for
4 papers · 2 filters
Two types of compressible isotropic neo-Hookean material models
Sergey N. Korobeynikov, Alexey Yu. Larichkin, Patrizio Neff
In this contribution, we present a systematic study of the performance of two known types of compressible generalization of the incompressible neo-Hookean material model. The first…
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…
Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler +3
We derive the quasiconvex relaxation of the Biot-type energy density for planar mappings $φ\colon\mathbb{R}^2\to \m…