𝔖 Bobbio Scriptorium
✦   LIBER   ✦

HYBRID FINITE ELEMENT MODELS FOR PIEZOELECTRIC MATERIALS

✍ Scribed by K.Y. SZE; Y.S. PAN

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
302 KB
Volume
226
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, hybrid variational principles are employed for piezoelectric "nite element formulation. Starting from eight-node hexahedral elements with displacement and electric potential as the nodal d.o.f.s, hybrid models with assumed stress and electric displacement are devised. The assumed stress and electric displacement are chosen to be contravariant with the minimal 18 and seven modes respectively. The pertinent coe$cients can be condensed at the element level and do not enter the system equation. A number of benchmark tests are exercised. The predicted results indicate that the assumed stress and electric displacements are e!ective in improving the element accuracy.

πŸ“œ SIMILAR VOLUMES

A hybrid finite element method for fluid
A hybrid finite element method for fluid-filled porous materials
✍ Zeng, Dan; Katsube, Noriko; Zhang, Jinmiao πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 185 KB πŸ‘ 2 views

A hybrid "nite element method is proposed for the thermo-mechanical analysis of porous materials with pore pressure. Arbitrary n-sided polygonal elements based on the Hellinger}Reissner principle are used to mesh the heterogeneous domain. The validity of the proposed method is veri"ed by a simple an

FINITE ELEMENT MODELLING OF STRUCTURES I
FINITE ELEMENT MODELLING OF STRUCTURES INCLUDING PIEZOELECTRIC ACTIVE DEVICES
✍ JAEHWAN KIM; VASUNDARA V. VARADAN; VIJAY K. VARADAN πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 290 KB πŸ‘ 3 views

Finite element modelling is used to study the response of plate structures on which piezoelectric active devices are mounted. Such devices are typically small in relation to the size of the structure which can be modelled as a plate or shell structure. In modelling the response of such devices, it i

Polynomial wavelets in hybrid-mixed stre
Polynomial wavelets in hybrid-mixed stress finite element models
✍ LuΓ­s Manuel Santos Castro πŸ“‚ Article πŸ“… 2009 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 424 KB

## Abstract This paper reports the use of polynomial wavelets as approximation functions in hybrid‐mixed stress finite element models applied to the solution of plane elasticity problems. The stress and displacement fields in the domain and the displacements on the static boundary are independently

Performance of displacement finite eleme
Performance of displacement finite elements for modelling incompressible materials
✍ Yu, H. S.; Netherton, M. D. πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 335 KB πŸ‘ 3 views

It is well established that severe numerical di$culties may arise when the displacement "nite element method is used to analyse the behaviour of incompressible solids and this is particularly true for axisymmetric problems. These numerical di$culties are caused by excessive kinematic constraints and