59 citations · 227 across the 17 of their papers we have counts for
4 papers · 1 filter
Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
Patrizio Neff, Sebastian Holthausen, Marco Valerio d'Agostino +4
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann rate \begin{align} \frac{{\rm D}^{\rm ZJ}}{{\rm D} t} [σ] = \mathbb{H}^{\rm ZJ}(σ).D, \qquad D = {\r…
A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain
Marco Valerio d'Agostino, Sebastian Holthausen, Davide Bernardini +4
Following Hill and Leblond, the aim of our work is to show, for isotropic nonlinear elasticity, a relation between the corotational Zaremba-Jaumann objective derivative of the Cauc…
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
Marco Valerio d'Agostino, Gianluca Rizzi, Hassam Khan +3
We consider the classical Mindlin-Eringen linear micromorphic model with a new strictly weaker set of displacement boundary conditions. The new consistent coupling condition aims a…
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino +1
We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials…