Four-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear Analysis

2017 ◽  
Vol 15 (02) ◽  
pp. 1850005 ◽  
Author(s):  
Yongtao Yang ◽  
Xuhai Tang ◽  
Hong Zheng ◽  
Quansheng Liu
Keyword(s):  
Nonlinear Analysis ◽  
Meshfree Method ◽  
High Tolerance ◽  
Solid Mechanic ◽  
Quadrilateral Element ◽  
Mesh Distortion ◽  
Geometrical Nonlinear ◽  
Geometrical Nonlinear Analysis ◽  
The Individual ◽  
Better Than

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.

A Three-Node Triangular Element with Continuous Nodal Stress (Trig3-CNS) for Geometry Nonlinear Solid Mechanics Problems

2018 ◽  
Vol 15 (04) ◽  
pp. 1850022 ◽  
Author(s):  
Guanhua Sun ◽  
Yongtao Yang ◽  
Hong Zheng
Keyword(s):  
Solid Mechanics ◽  
Meshfree Method ◽  
Triangular Element ◽  
The Finite Element Method ◽  
Mesh Distortion ◽  
Numerical Tests ◽  
Improve Accuracy ◽  
Nonlinear Solid Mechanics ◽  
The Individual ◽  
Better Than

This paper investigates the performance of the three-node triangular element with continuous nodal stress (Trig3-CNS) for geometry nonlinear solid mechanic problems. This Trig3-CNS element was recently proposed to improve accuracy of the finite element method (FEM). By synergizing the individual strengths of meshfree method and FEM, the Trig3-CNS element achieves higher accuracy and convergence rate. Furthermore, Trig3-CNS presents high tolerance to mesh distortion. Therefore, it is potentially useful for geometry nonlinear solid mechanics problems in which mesh distortion takes place. Compared with the traditional hybrid “FE-Meshfree” elements, Trig3-CNS naturally processes CNS without requiring any extra operation in post-processing. Numerical tests in the present work show that for geometry nonlinear analysis, the results of the Trig3-CNS element are better than the 3-node triangular element (Trig3) and 4-node isoparametric quadrilateral element (Quad4). In addition, the performance of Trig3-CNS is comparable to that of traditional hybrid “FE-Meshfree” elements.

Research on Construction Control Analysis for Pretensioned Structure

2011 ◽  
Vol 243-249 ◽  
pp. 198-203
Author(s):  
Jie Wu ◽  
Yong Hua Yang ◽  
Xiao Qun Luo
Keyword(s):  
Nonlinear Analysis ◽  
Cantilever Beam ◽  
Original Model ◽  
Tension Force ◽  
Construction Control ◽  
Control Analysis ◽  
Computational Accuracy ◽  
Geometrical Nonlinear ◽  
Geometrical Nonlinear Analysis

The theory of geometrical nonlinear analysis is introduced. The sag effect is considered by the multiple-straight truss elements. The unstress length which is modeled the tension force of cable is figured out. Three kind of positions where the new elements are activated on are offered: tangent to old elements, parallel to old elements and original model coordinate, the method of parallel to old elements is used in the construction stages analysis and the method of original model coordinate is used in the construction control analysis. The purpose of construction control analysis for pretensioned structure in this paper is that the architectural configuration should be satisfied after construction control analysis is finished. The procedure of construction control analysis for pretensioned structure is summarized. The computational accuracy and the effectiveness are proven by the example of the cantilever beam with cables.

Geometrical nonlinear analysis of rectangular mindlin plates

1991 ◽  
Vol 41 (4) ◽  
pp. 869-874
Author(s):  
H. Matsuda ◽  
C. Morita ◽  
T. Sakiyama
Keyword(s):  
Nonlinear Analysis ◽  
Geometrical Nonlinear ◽  
Geometrical Nonlinear Analysis
Sign in / Sign up

Export Citation Format

Share Document