Implementation and Validation of a 4-Node Shell Finite Element

2014 ◽  
Author(s):  
Marco Morandini ◽  
Pierangelo Masarati
Keyword(s):  
Fluid Dynamics ◽  
Shell Element ◽  
General Purpose ◽  
Flapping Wing ◽  
Element Formulation ◽  
Dynamics Analysis ◽  
Dynamic Problems ◽  
Aerial Vehicles ◽  
Shell Finite Element ◽  
Natural Strains

This paper discusses the formulation and implementation of a 4-node C0 shell element within a general-purpose multibody formulation. A geometrically consistent set of strains and curvatures, defined in a co-rotational framework, is augmented by Enhanced Assumed Strains (EAS) and Assumed Natural Strains (ANS), to alleviate shear and membrane locking. The shell element formulation is validated by solving several static and dynamic problems from the open literature. The proposed element has been successfully used for the coupled structural and fluid-dynamics analysis of flapping wing micro-aerial vehicles.

In-Vacuo Modal Dynamic Response of the Human Skull

1974 ◽  
Vol 96 (2) ◽  
pp. 490-494 ◽  
Author(s):  
R. E. Nickell ◽  
P. V. Marcal
Keyword(s):  
Shell Element ◽  
Element Model ◽  
General Purpose ◽  
Element Formulation ◽  
Human Skull ◽  
Natural Modes ◽  
Modes Of Vibration ◽  
Doubly Curved ◽  
Insight Into ◽  
Good Agreement

A finite element model of a human skull is analyzed in order to determine the lowest natural modes of vibration. A doubly curved, triangular, thin shell element formulation is used, within the framework of a general-purpose program, to investigate the effect of various support systems on the frequencies and modal shapes. The frequencies are found to be in good agreement with the results of other investigators and the modal shapes offer some insight into a modified theory of craniocerebral damage that includes both skull rotation and cavitation as pathogenic mechanisms.

New Formulation for Composite Sandwich Shell Finite Element

1999 ◽  
Author(s):  
Ala Tabiei ◽  
Romil Tanov
Keyword(s):  
Finite Element ◽  
Shell Element ◽  
Core Material ◽  
Element Formulation ◽  
Sandwich Shell ◽  
Composite Sandwich ◽  
Computationally Intensive ◽  
Shell Finite Element ◽  
New Formulation ◽  
Shear Deformable

Abstract Sandwich shell finite element formulation is developed and presented. The sandwich shell element formulation allows for orthotropic faces and core material. The sandwich shell element is based on first shell order shear deformable theory utilized by most shell finite elements for isotropic materials. Consequently, the presented procedure can be adopted for any shell element available in commercial finite element packages. The formulation is based on the equalities of stress and moment resultants between a sandwich shell element and a typical homogenous shell element. The developed element is implemented in the nonlinear finite element code DYNA3D to validate and check its accuracy, efficiency and overall performance. The predicted results show good agreement with results obtained from far more complicated and computationally intensive 3-D analyses.

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