A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures

2013 ◽  
Vol 74 (1-2) ◽  
pp. 153-164 ◽  
Author(s):  
D. Yan ◽  
C. Liu ◽  
Q. Tian ◽  
K. Zhang ◽  
X. N. Liu ◽  
...  
Keyword(s):  
Thin Shell ◽  
Absolute Nodal Coordinate Formulation ◽  
Shell Element ◽  
Shell Structures ◽  
Absolute Nodal Coordinate

Stress Resultant Analysis of Steel Penstocks Using a Flat Shell Element

2012 ◽  
Vol 170-173 ◽  
pp. 1887-1892
Author(s):  
Jing Min Liu ◽  
Lu Feng Yang ◽  
Jin Zhang ◽  
Wei Zhang
Keyword(s):  
Finite Element ◽  
Structural Analysis ◽  
Thin Shell ◽  
Shell Element ◽  
Shell Structures ◽  
Stress Resultant ◽  
Flat Shell ◽  
Flat Shell Element ◽  
Finite Element Procedure ◽  
Internal Forces

A finite element procedure of a four-node rectangular flat shell element (FSE) is programmed for structural analysis of steel penstocks. The influence of axial constraint and support settlement on the internal forces of the steel penstocks is investigated. It can be concluded that the FSE is suitable for thin shell structures of steel penstocks and can achieve satisfying accuracy. The axial constraint caused by rest piers would remarkably increase the axial internal forces along pipeline, while the influence of support settlement on the internal forces of the steel penstock is limited, and so is the increment.

A new thin beam element with cross-section distortion of the absolute nodal coordinate formulation

2021 ◽  
pp. 095440622110200
Author(s):  
Zhenxing Shen ◽  
Xiaofeng Xing ◽  
Boyu Li
Keyword(s):  
Cross Section ◽  
Absolute Nodal Coordinate Formulation ◽  
Laminated Composite ◽  
Shell Element ◽  
Beam Element ◽  
Cross Sectional ◽  
Thin Beam ◽  
Absolute Nodal Coordinate ◽  
The Absolute ◽  
The Cross

A novel modelling approach to beams with thin cross-sections is proposed in the absolute nodal coordinate formulation (ANCF), where the Lagrange interpolating and curve fitting techniques of numerical analysis are utilized for construction of the thin beam cross-section contour. Although the slope vector with respect to the coordinate line on cross-section contour is not considered in nodal coordinates, the cross-section distortion could be adequately captured through selecting an appropriate degree of polynomial. The main advantages of the present ANCF thin beam element are that the computational costs are more inexpensive than the ANCF shell element due to less generalized coordinates, there is very small amount of input data because slope vectors of the cross-section are eliminated, and the cross-sectional stress distribution may always be continuous on account of the fact that the cross-section is not discretized into a set of finite elements. Moreover, the formulations of elastic forces and Jacobian of thin laminated composite beam are also derived based on the continuum mechanics. Finally, several examples including both static and dynamic problems are performed to verify the new element and meanwhile demonstrate its general characteristics.

Continuum Mechanics Based Bilinear Shear Deformable Shell Element Using Absolute Nodal Coordinate Formulation

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Hiroki Yamashita ◽  
Antti I. Valkeapää ◽  
Paramsothy Jayakumar ◽  
Hiroyuki Sugiyama
Keyword(s):  
Continuum Mechanics ◽  
Numerical Solutions ◽  
Absolute Nodal Coordinate Formulation ◽  
Shell Element ◽  
Deformation Analysis ◽  
Normal Strain ◽  
Absolute Nodal Coordinate ◽  
Assumed Strain ◽  
Shear Deformable ◽  
The Continuum

In this investigation, a continuum mechanics based bilinear shear deformable shell element is developed using the absolute nodal coordinate formulation (ANCF) for the large deformation analysis of multibody shell structures. The element consists of four nodes, each of which has the global position coordinates and the transverse gradient coordinates along the thickness introduced for describing the orientation and deformation of the cross section of the shell element. The global position field on the middle surface and the position vector gradient at a material point in the element are interpolated by bilinear polynomials. The continuum mechanics approach is used to formulate the generalized elastic forces, allowing for the consideration of nonlinear constitutive models in a straightforward manner. The element lockings exhibited in the element are eliminated using the assumed natural strain (ANS) and enhanced assumed strain (EAS) approaches. In particular, the combined ANS and EAS approach is introduced to alleviate the thickness locking arising from the erroneous transverse normal strain distribution. Several numerical examples are presented in order to demonstrate the accuracy and the rate of convergence of numerical solutions obtained by the continuum mechanics based bilinear shear deformable ANCF shell element proposed in this investigation.

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