A triangular shell element for geometrically nonlinear analysis

2017 ◽  
Vol 229 (1) ◽  
pp. 323-342 ◽  
Author(s):  
M. Rezaiee-Pajand ◽  
E. Arabi ◽  
Amir R. Masoodi
Keyword(s):  
Nonlinear Analysis ◽  
Shell Element ◽  
Geometrically Nonlinear ◽  
Geometrically Nonlinear Analysis ◽  
Triangular Shell Element

Element-Independent Pure Deformational and Co-Rotational Methods for Triangular Shell Elements in Geometrically Nonlinear Analysis

2018 ◽  
Vol 18 (05) ◽  
pp. 1850065 ◽  
Author(s):  
Y. Q. Tang ◽  
Y. P. Liu ◽  
S. L. Chan
Keyword(s):  
Nonlinear Analysis ◽  
Nonlinear Problems ◽  
Shell Element ◽  
Benchmark Problems ◽  
Element Formulation ◽  
Geometrically Nonlinear ◽  
Plate Element ◽  
Membrane Element ◽  
Geometrically Nonlinear Analysis ◽  
Shell Elements

Proposed herein is a novel pure deformational method for triangular shell elements that can decrease the element quantities and simplify the element formulation. This approach has computational advantages over the conventional finite element method for linear and nonlinear problems. In the element level, this method saves time for computing stresses, internal forces and stiffness matrices. A flat shell element is formed by a membrane element and a plate element, so that the pure deformational membrane and plate elements are derived and discussed separately in this paper. Also, it is very convenient to incorporate the proposed pure deformational method into the element-independent co-rotational (EICR) framework for geometrically nonlinear analysis. Thus, on the basis of the pure deformational method, a novel EICR formulation is proposed which is simpler and has more clear physical characteristics than the traditional formulation. In addition, a triangular membrane element with drilling rotations and the discrete Kirchhoff triangular plate element are used to verify the proposed pure deformational method, although several benchmark problems are employed to verify the robustness and accuracy of the proposed EICR formulations.

scholarly journals Geometrically nonlinear analysis of thin shell by a quadrilateral finite element with in-plane rotational degrees of freedom

2010 ◽  
pp. 707-724
Author(s):  
Djamel Boutagouga ◽  
Abdelhacine Gouasmia ◽  
Kamel Djeghaba
Keyword(s):  
Nonlinear Analysis ◽  
Thin Shell ◽  
Degrees Of Freedom ◽  
Shell Element ◽  
Local System ◽  
Second Phase ◽  
Geometrically Nonlinear ◽  
Geometrically Nonlinear Analysis ◽  
Rotational Degrees Of Freedom ◽  
Quadrilateral Finite Element

We present in this research article, the improvements that we made to create a four nodes flat quadrilateral shell element for geometrically nonlinear analysis, based on corotational updated lagrangian formulation. These improvements are initially related to the improvement of the in-plane behaviour by incorporation of the in-plane rotational degrees of freedom known as “drilling degrees of freedom” in the membrane displacements field formulation. In the second phase, a co-rotational spatial local system of axes which adapts well to the problems of quadrilateral elements is adopted, while ensuring simplicity and effectiveness at numerical level. The required goal being mainly to have a robust thin shell element associated with a simplified formulation. The obtained element remains economic, and showing a robust behaviour in delicate situations of tests.

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