Zobrazeno 1 - 10
of 251
pro vyhledávání: '"Ghiba, Ionel Dumitrel"'
Autor:
Neff, Patrizio, Holthausen, Sebastian, d'Agostino, Marco Valerio, Bernardini, Davide, Sky, Adam, Ghiba, Ionel-Dumitrel, Martin, Robert J.
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann rate \begin{align} \frac{{\rm D}^{\rm ZJ}}{{\rm D} t} [\sigma] = \mathbb{H}^{\rm ZJ}(\sigma).D, \qquad D = {\rm sym} {\rm D} v\,, \end{align} operating on the Cauchy stre
Externí odkaz:
http://arxiv.org/abs/2409.20051
A natural requirement for objective corotational rates -- on structure preserving corotational rates
Autor:
Neff, Patrizio, Holthause, Sebastian, Korobeynikov, Sergey N., Ghiba, Ionel-Dumitrel, Martin, Robert J.
We investigate objective corotational rates satisfying an additional, physically plausible assumption. More precisely, we require for \begin{equation*} \frac{{\rm D}^{\circ}}{{\rm D} t}[B] = \mathbb{A}^{\circ}(B).D \end{equation*} that $\mathbb{A}^{\
Externí odkaz:
http://arxiv.org/abs/2409.19707
Autor:
d'Agostino, Marco Valerio, Holthausen, Sebastian, Bernardini, Davide, Sky, Adam, Ghiba, Ionel-Dumitrel, Martin, Robert J., Neff, Patrizio
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 Cauchy stress $\sigma$, i.e. \begin{equation} \frac{{\rm D}^{\rm ZJ}}{{\rm
Externí odkaz:
http://arxiv.org/abs/2409.01811
Autor:
Ghiba, Ionel-Dumitrel, Gmeineder, Franz, Holthausen, Sebastian, Martin, Robert J., Neff, Patrizio
The aim of the paper is to recall the importance of the study of invertibility and monotonicity of stress-strain relations for investigating the non-uniqueness and bifurcation of homogeneous solutions of the equilibrium problem of a hyperelastic cube
Externí odkaz:
http://arxiv.org/abs/2408.03821
It has become commonplace for the stored energy function of any realistic shell model to align ``within first order" with the classical Koiter membrane-bending (flexural) shell model. In this paper, we assess whether certain extended Cosserat shell m
Externí odkaz:
http://arxiv.org/abs/2312.10928
In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the propagation of surface waves in an isotropic half space modelled with the
Externí odkaz:
http://arxiv.org/abs/2309.16147
We show how to explicitly compute the homogenized curvature energy appearing in the isotropic $\Gamma$-limit for flat and for curved initial configuration Cosserat shell models, when a parental three-dimensional minimization problem on $\Omega \subse
Externí odkaz:
http://arxiv.org/abs/2309.06032
Autor:
Ghiba, Ionel-Dumitrel, Neff, Patrizio
In this paper we linearise the recently introduced geometrically nonlinear constrained Cosserat-shell model. In the framework of the linear constrained Cosserat-shell model, we provide a comparison of our linear models with the classical linear Koite
Externí odkaz:
http://arxiv.org/abs/2211.12074
In this paper we derive the linear elastic Cosserat shell model incorporating effects up to order $O(h^5)$ in the shell thickness $h$ as a particular case of the recently introduced geometrically nonlinear elastic Cosserat shell model. The existence
Externí odkaz:
http://arxiv.org/abs/2208.04574
Using $\Gamma$-convergence arguments, we construct a nonlinear membrane-like Cosserat shell model on a curvy reference configuration starting from a geometrically nonlinear, physically linear three-dimensional isotropic Cosserat model. Even if the th
Externí odkaz:
http://arxiv.org/abs/2207.08541