4-node unsymmetric quadrilateral membrane element with drilling DOFs insensitive to severe mesh-distortion

2017 ◽  
Vol 113 (10) ◽  
pp. 1589-1606 ◽  
Author(s):  
Yan Shang ◽  
Wengen Ouyang
1998 ◽  
Vol 1 (3) ◽  
pp. 185-191 ◽  
Author(s):  
Yin Xu ◽  
Zhifei Long ◽  
Yuqiu Long

Many finite element models have very acceptable performance when the computing meshes are regular. However, as the level of mesh distortion is increasing, the accuracy of the solutions deteriorates rapidly. Therefore, how to formulate an element that is less sensitive to geometric distortion is an important question for study for a long period. In this paper, a simple quadrilateral membrane element with rotational degrees-of-freedom is developed with the approach of the generalized conforming element proposed by Long Yuqiu (1989). The new element exhibits excellent feature, that is, less sensitive to geometric distortion. A general method to formulate high precision finite element less sensitive to geometric distortion is provided in this paper.


2015 ◽  
Vol 103 (7) ◽  
pp. 469-500 ◽  
Author(s):  
Song Cen ◽  
Pei-Lei Zhou ◽  
Chen-Feng Li ◽  
Cheng-Jin Wu

2017 ◽  
Vol 15 (02) ◽  
pp. 1850005 ◽  
Author(s):  
Yongtao Yang ◽  
Xuhai Tang ◽  
Hong Zheng ◽  
Quansheng Liu

In this paper, the performance of a hybrid ‘FE-Meshfree’ quadrilateral element with continuous nodal stress (Quad4-CNS) is investigated for geometrical nonlinear solid mechanic problems. By combining finite element method (FEM) and meshfree method, this Quad4-CNS synergizes the individual strengths of these two methods, which leads to higher accuracy, better convergence rate, as well as high tolerance to mesh distortion. Therefore, Quad4-CNS is attractive for geometrical nonlinear solid mechanic problems where excessive distorted meshes occur. For geometrical nonlinear analysis, numerical results show that the results of Quad4-CNS element are much better than those of four-node isoparametric quadrilateral element (Quad4), and are comparable to quadratic quadrilateral element (Quad8) and other hybrid ‘FE- Meshfree’ elements.


2018 ◽  
Vol 35 (3) ◽  
pp. 305-313 ◽  
Author(s):  
C. Rebiai

ABSTRACTIn this investigation, a new simple triangular strain based membrane element with drilling rotation for 2-D structures analysis is proposed. This new numerical model can be used for linear and dynamic analysis. The triangular element is named SBTE and it has three nodes with three degrees of freedom at each node. The displacements field of this element is based on the assumed functions for the various strains satisfying the compatibility equations. This developed element passed both patch and benchmark tests in the case of bending and shear problems. For the dynamic analysis, lumped mass with implicit/explicit time integration are employed. The obtained numerical results using the developed element converge toward the analytical and numerical solutions in both analyses.


2021 ◽  
Vol 230 ◽  
pp. 136-154
Author(s):  
Kayode Hassan Lasisi ◽  
Fang Fang ◽  
Kaisong Zhang ◽  
Temitope Fausat Ajibade ◽  
Weihao Yao ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document