Testing the asymptotic behaviour of shell elements?Part II: New limit tests: analytical solutions and the RFNS element case

2002 ◽  
Vol 54 (5) ◽  
pp. 631-670 ◽  
Author(s):  
D. Briassoulis
Keyword(s):  
Asymptotic Behaviour ◽  
Analytical Solutions ◽  
Shell Elements

scholarly journals Study on the Explicit Formula of the Triangular Flat Shell Element Based on the Analytical Trial Functions for Anisotropy Material

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiang-Rong Fu ◽  
Li-Na Ge ◽  
Ge Tian ◽  
Ming-Wu Yuan
Keyword(s):  
Analytical Solutions ◽  
High Efficiency ◽  
Shell Element ◽  
High Accuracy ◽  
Triangular Element ◽  
Shell Elements ◽  
Hybrid Element ◽  
Flat Shell ◽  
Flat Shell Element ◽  
Integral Formulae

This paper presents a novel way to formulate the triangular flat shell element. The basic analytical solutions of membrane and bending plate problem for anisotropy material are studied separately. Combining with the conforming displacement along the sides and hybrid element strategy, the triangular flat shell elements based on the analytical trial functions (ATF) for anisotropy material are formulated. By using the explicit integral formulae of the triangular element, the matrices used in proposed shell element are calculated efficiently. The benchmark examples showed the high accuracy and high efficiency.

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