Spurious Mode Control in 9-Node Shell Element Based on Assumed Strain Method

1988 ◽  
pp. 727-730
Author(s):  
A. Wada ◽  
T. Yamada
Keyword(s):  
Shell Element ◽  
Mode Control ◽  
Spurious Mode ◽  
Assumed Strain ◽  
Assumed Strain Method ◽  
Strain Method

scholarly journals A new prismatic solid-shell element ‘SHB6’: Assumed-strain formulation and evaluation on benchmark problems

2009 ◽  
Vol 31 (3-4) ◽  
Author(s):  
Vuong Dieu Trinh ◽  
Farid Abed-Meraim ◽  
Alain Combescure
Keyword(s):  
Degrees Of Freedom ◽  
Shell Element ◽  
Careful Analysis ◽  
Benchmark Problems ◽  
Integration Scheme ◽  
Solid Shell ◽  
Structural Problems ◽  
Assumed Strain ◽  
Assumed Strain Method ◽  
Strain Method

In this paper, the formulation of a new six-node solid–shell element denoted (SHB6) is proposed. This prismatic element is based on a purely three-dimensional approach, and hence has displacements as the only degrees of freedom. A reduced integration scheme is adopted consisting of one-point in-plane quadrature and an arbitrary number of integration points, with a minimum number of two, distributed along the ‘thickness’ direction. Moreover, in order to enhance its performance and to greatly reduce most locking effects, specific projections are introduced based on the assumed-strain method. The resulting derivation can then be used to model thin structural problems, while taking into account the various through-thickness phenomena. A careful analysis of potential stiffness matrix rank deficiencies reveals that no hourglass modes need to be controlled. However, without assumed-strain method, the element exhibits some shear and thickness-type locking, which is common in linear triangular elements associated with constant strain states. After the formulation of the element is detailed, its performance is assessed through a set of representative benchmark problems illustrating its capabilities in various situations. More specifically, this prismatic solid–shell element proves to be an essential complement to the SHB8PS hexahedral element in meshing arbitrarily complex geometries.

Implementation and application of a 9-node Lagrange shell element with spurious mode control

1985 ◽  
Vol 20 (1-3) ◽  
pp. 121-128 ◽  
Author(s):  
Ted Belytschko ◽  
Liu Wing-Kam ◽  
Jame Shau-Jen Ong ◽  
Dennis Lam
Keyword(s):  
Shell Element ◽  
Mode Control ◽  
Spurious Mode

scholarly journals EAS 3D triangular and quadrangular shell elements

2010 ◽  
pp. 205-215
Author(s):  
Philippe Jetteur ◽  
Philippe Pasquet
Keyword(s):  
Degrees Of Freedom ◽  
Shell Element ◽  
Element Formulation ◽  
Shell Elements ◽  
Assumed Strain ◽  
Definition Of ◽  
3D Solid ◽  
Assumed Strain Method ◽  
Internal Degrees Of Freedom

A new 3D solid shell element is developed in SAMCEF™ code. The purpose of this element is to make the meshing easier starting from a 3D definition of the structure, it is not necessary to extract the mean surface of the shell. Here, we are not concerned by the meshing; we only are concerned by the element formulation. In order to improve the quality of the results, we add internal degrees of freedom as suggested by Simo and co-authors. We use the Enhanced Assumed Strain method. A special handling of the transverse shear is performed in order to pass successfully the plate patch test (constant bending) and to avoid shear locking. The formulation is based on the work of Bathe and Dvorkin for classical shell. The element has been developed in linear and non-linear analysis; it can be a mono or multilayer element.

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