Nouvel élément secteur basé sur le modèle de déformation avec rotation dans le plan

Belarbi, Mohamed Tahar; Charif, Abdelhamid

doi:10.1080/12506559.1998.10511312

Cited by 9 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The first plate bending element based on the strain approach and the Reissner-Mindlin theory was developed by Belounar and Guenfoud (Belounar and Guenfoud, 2005). The success of the strain approach has been confirmed by several 3-D plates elements (Belarbi and Charif, 1998;Belounar and Guerraiche, 2014;Guerraiche et al, 2018;Khiouani et al, 2020;Messai et al, 2018) and plate bending elements (Belounar et al, 2018(Belounar et al, , 2019(Belounar et al, , 2020Boussem and Belounar, 2020). This approach has been applied to the development of elements for general plane elasticity problems (Bouzidi et al, 2019;Fortas et al, 2019).…”

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Assumed strain finite element for natural frequencies of bending plates

Boussem

Belounar²,

Belounar

2021

WJE

View full text Add to dashboard Cite

Purpose This paper aims to describe the formulation of a new finite element by assuming the strain field rather than the displacement field and by using the Reissner–Mindlin plate theory for the free vibration analysis of bending plates. This quadrilateral element consists of four-nodes and twelve degrees of freedom. The suggested element is based on assumed functions of the strain field that satisfy the compatibility equation. Design/methodology/approach After the proposition of the new element, several numerical tests for plates with regular and distorted meshes are presented to assess the performance of the new element. In addition, a parametric study is carried out to analyze the effects of biaxial loads on the natural frequencies of square plates with various boundary conditions. Detailed discussions are proposed after each benchmark problem. Findings The formulated element has verified the shear locking test and passes the patch test. The obtained results from the developed element show an excellent accuracy and fast convergence, and the natural frequencies are in excellent agreement when compared with analytical and other available numerical solutions. Originality/value The present element is simple in its formulation and has been proven to be applicable to thin or thick plate situations with sufficient accuracy. This element with full integration is free from shear locking, however, the numerical results provided by the standard four-node plate element R4 element show locking phenomena in thin plates. In addition to these features, the imposition of the compatibility conditions and the rigid body modes allow obtaining a finite element with higher-order terms for displacements field, which can increase the performance of the finite elements.

show abstract

Section: Introductionmentioning

confidence: 98%

“…The rigid body movements and constant deformation, which ensure a monotonous convergence towards the exact solution, can be easily satisfied into this approach. In addition, the strain approach can produce a higher-order displacement field, which can increases the efficiency of the finite elements (Belarbi and Charif, 1998).…”

Section: Introductionmentioning

confidence: 99%