Naslov
Nonlinear Naghdi type shell model

Autori
Ljulj, Matko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Croatian-German meeting on analysis and mathematical physics - book of abstracts / - , 2021, 12-13

Skup
Croatian-German meeting on analysis and mathematical physics

Mjesto i datum
Online, 22.03.2021. - 25.03.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
onlinear shell model ; Naghdi type

Sažetak
In this talk a new nonlinear shell model of Naghdi type is proposed. It is well defined for shells whose middle surface is parameterised by a Lipschitz function. Behaviour of the shell is described by deformation of the middle surface and the matrix function with values in rotations which describes the rotation of the shell cross–section. The model is formulated as the minimization problem for the total energy functional that includes flexural, membrane, shear and drill energies. We describe its properties: restrictions to a particular subset of admissible functions gives as a model of flexural or Koiter type, it is frame indifferent, its linearization gives a linear model of Naghdi type, its differential formulation implies that it is a Cosserat model with one director... After that we will analyse its asymptotic behaviour as the thickness of the shell tends to zero, in various regimes depending on the elastic properties of the material. We compare limit models (obtained by using Gamma-convergence) with rigorously derived nonlinear models obtained from 3d elasticity. This model has similar asymptotic properties when coupled to a thick 3d elastic body.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA