Multilayered triangular and quadrilateral flat shell elements based on the Refined Zigzag Theory

2020 ◽  
Vol 233 ◽  
pp. 111629 ◽  
Author(s):  
Marco Gherlone ◽  
Daniele Versino ◽  
Vincenzo Zarra
Keyword(s):  
Shell Elements ◽  
Flat Shell ◽  
Zigzag Theory

The Effect of Explosion in a Tunnel Tube on its Damage

2018 ◽  
Vol 774 ◽  
pp. 265-270
Author(s):  
Petr P. Prochazka ◽  
Martin J. Válek
Keyword(s):  
Gas Dynamics ◽  
Solid Phase ◽  
Fiber Reinforced Concrete ◽  
Reinforced Concrete Structure ◽  
Air Velocity ◽  
Shell Elements ◽  
Final Volume ◽  
Flat Shell ◽  
The Impact ◽  
Geometric Compatibility

The aim of the work is to study the impact of an explosion in a tube on its damage. The theory of Landau-Liftschitz gas dynamics and the damage criterion by the Hoek-Brown in the structure are applied. If the charge is placed centrically in the tube, it is fairly easy to predict both the locations and damage levels. Therefore, the paper is oriented to the case where the charge is placed eccentrically. Air movement is described by the solution of non-linear Euler’s equations by final volume element method, while the response of the fiber reinforced concrete structure of the tube to impact waves is described by the time dependent 20-nodes flat shell elements. In order to ensure the geometric compatibility along the interface between the two media (structure, air), gas dynamics in the air is described by block elements, while the shell is approximated by the finite element. In this way, the problem solved is divided into a description of the air velocity and pressure and the velocity and stress in the solid phase, separately; interaction of the effects caused by the explosion initiated inside of the tube and its impact on the solid phase is concentrated along the interface between these two media. The calculation focuses on the early stages of interaction development when most likely damage is assumed.

scholarly journals A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Xiaowei Gao ◽  
Yunfei Liu ◽  
Jun Lv
Keyword(s):  
Shell Element ◽  
New Method ◽  
Membrane Element ◽  
Shell Elements ◽  
Local Coordinates ◽  
Flat Shell ◽  
Flat Shell Element ◽  
Cartesian Coordinate ◽  
Derivatives Of ◽  
Rotational Freedom

In order to improve the performance of the membrane element with vertex rigid rotational freedom, a new method to establish the local Cartesian coordinate system and calculate the derivatives of the shape functions with respect to the local coordinates is introduced in this paper. The membrane elements with vertex rigid rotational freedom such as GQ12 and GQ12M based on this new method can achieve higher precision results than traditional methods. The numerical results demonstrate that the elements GQ12 and GQ12M with this new method can provide better membrane elements for flat shell elements. Furthermore, this new method presented in this paper offers a new approach for other membrane elements used in flat shell element to improve the computing accuracy.

Refined triangular discrete Mindlin flat shell elements

2003 ◽  
Vol 33 (1) ◽  
pp. 52-60 ◽  
Author(s):  
G. Zengjie ◽  
C. Wanji
Keyword(s):  
Shell Elements ◽  
Flat Shell

scholarly journals Three-dimensional flat shell-to-shell coupling: numerical challenges

2017 ◽  
Vol 4 (1) ◽  
pp. 299-313
Author(s):  
Kuo Guo ◽  
Ghadir Haikal
Keyword(s):  
Plate Theory ◽  
Three Dimensional ◽  
Shell Element ◽  
Thin Plates ◽  
Mindlin Plate ◽  
Shell Elements ◽  
Contact Formulation ◽  
Flat Shell ◽  
Surface Contact ◽  
Flat Shell Element

Abstract The node-to-surface formulation is widely used in contact simulations with finite elements because it is relatively easy to implement using different types of element discretizations. This approach, however, has a number of well-known drawbacks, including locking due to over-constraint when this formulation is used as a twopass method. Most studies on the node-to-surface contact formulation, however, have been conducted using solid elements and little has been done to investigate the effectiveness of this approach for beam or shell elements. In this paper we show that locking can also be observed with the node-to-surface contact formulation when applied to plate and flat shell elements even with a singlepass implementation with distinct master/slave designations, which is the standard solution to locking with solid elements. In our study, we use the quadrilateral four node flat shell element for thin (Kirchhoff-Love) plate and thick (Reissner-Mindlin) plate theory, both in their standard forms and with improved formulations such as the linked interpolation [1] and the Discrete Kirchhoff [2] elements for thick and thin plates, respectively. The Lagrange multiplier method is used to enforce the node-to-surface constraints for all elements. The results show clear locking when compared to those obtained using a conforming mesh configuration.

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