3 papers
math.AP2025
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…
math.AP2024
Major symmetry of the induced tangent stiffness tensor for the Zaremba-Jaumann rate and Kirchhoff stress in hyperelasticity: two different approaches
Salvatore Federico, Sebastian Holthausen, Nina J. Husemann +1
We recall in this note that the induced tangent stiffness tensor appearing in a hypoelastic formulation based on the Zaremba-Jaumann corotational de…
math.AP2024
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity
Patrizio Neff, Nina J. Husemann, Aurélien S. Nguetcho Tchakoutio +2
In isotropic nonlinear elasticity the corotational stability postulate (CSP) is the requirement that \begin{equation*} \langle\frac{\mathrm{D}^{\circ}}{\mathrm{D} t}[Ï] , D \rangl…