Geometrical Nonlinearity for a Timoshenko Beam with Flexoelectricity.
Nanomaterials (Basel)
; 11(11)2021 Nov 19.
Article
de En
| MEDLINE
| ID: mdl-34835888
ABSTRACT
The Timoshenko beam model is applied to the analysis of the flexoelectric effect for a cantilever beam under large deformations. The geometric nonlinearity with von Kármán strains is considered. The nonlinear system of ordinary differential equations (ODE) for beam deflection and rotation are derived. Moreover, this nonlinear system is linearized for each load increment, where it is solved iteratively. For the vanishing flexoelectric coefficient, the governing equations lead to the classical Timoshenko beam model. Furthermore, the influence of the flexoelectricity coefficient and the microstructural length-scale parameter on the beam deflection and the induced electric intensity is investigated.
Texte intégral:
1
Collection:
01-internacional
Base de données:
MEDLINE
Langue:
En
Journal:
Nanomaterials (Basel)
Année:
2021
Type de document:
Article
Pays d'affiliation:
Slovaquie