Isogeometric analysis for geometrically exact shell elements using Bézier extraction of NURBS with assumed natural strain method

2022 ◽  
Vol 172 ◽  
pp. 108846
Author(s):  
Min-Geun Kim ◽  
Geun-Ho Lee ◽  
Hanmin Lee ◽  
Bonyong Koo
Keyword(s):  
Isogeometric Analysis ◽  
Shell Elements ◽  
Natural Strain ◽  
Assumed Natural Strain ◽  
Bézier Extraction ◽  
Geometrically Exact Shell ◽  
Strain Method

On the Assumed Natural Strain method to alleviate locking in solid-shell NURBS-based finite elements

2014 ◽  
Vol 53 (6) ◽  
pp. 1341-1353 ◽  
Author(s):  
J. F. Caseiro ◽  
R. A. F. Valente ◽  
A. Reali ◽  
J. Kiendl ◽  
F. Auricchio ◽  
...  
Keyword(s):  
Finite Elements ◽  
Solid Shell ◽  
Natural Strain ◽  
Assumed Natural Strain ◽  
Strain Method

Evaluation of the Enhanced Assumed Strain and Assumed Natural Strain in the SSH3D and RESS3 Solid Shell Elements for Single Point Incremental Forming Simulation

2012 ◽  
Vol 504-506 ◽  
pp. 913-918 ◽  
Author(s):  
Carlos Felipe Guzmán ◽  
Amine Ben Bettaieb ◽  
José Ilídio Velosa de Sena ◽  
Ricardo J. Alves de Sousa ◽  
Anne Marie Habraken ◽  
...  
Keyword(s):  
Finite Element ◽  
Incremental Forming ◽  
Single Point ◽  
Single Point Incremental Forming ◽  
Solid Shell ◽  
Shell Elements ◽  
Enhanced Assumed Strain ◽  
Natural Strain ◽  
Assumed Strain ◽  
Assumed Natural Strain

Single Point Incremental Forming (SPIF) is a recent sheet forming process which can give a symmetrical or asymmetrical shape by using a small tool. Without the need of dies, the SPIF is capable to deal with rapid prototyping and small batch productions at low cost. Extensive research from both experimental and numerical sides has been carried out in the last years. Recent developments in the finite element simulations for sheet metal forming have allowed new modeling techniques, such as the Solid Shell elements, which combine the main features of shell hypothesis with a solid-brick element. In this article, two recently developed elements -SSH3D element [1, 2] and RESS3 element [3]- implemented in Lagamine (finite element code developed by the ArGEnCo department of the University of Liège) are explained and evaluated using the SPIF line test. To avoid locking problems, the well-known Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) techniques are used. The influence of the different EAS and ANS parameters are analized comparing the predicted tool forces and the shape of a transversal cut, at the end of the process. The results show a strong influence of the EAS in the forces prediction, proving that a correct choice is fundamental for an accurate simulation of the SPIF using Solid Shell elements.

Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements

2007 ◽  
Vol 75 (2) ◽  
pp. 156-187 ◽  
Author(s):  
Rui P. R. Cardoso ◽  
Jeong Whan Yoon ◽  
M. Mahardika ◽  
S. Choudhry ◽  
R. J. Alves de Sousa ◽  
...  
Keyword(s):  
Solid Shell ◽  
Shell Elements ◽  
Enhanced Assumed Strain ◽  
Natural Strain ◽  
Assumed Strain ◽  
Assumed Natural Strain

scholarly journals Stress distribution in elastic embankment using isogeometric analysis under Bézier extraction

2016 ◽  
Vol 4 (4) ◽  
pp. 78-83
Author(s):  
Tan Nguyen ◽  
Thirapong Pipatpongsa ◽  
Takafumi Kitaoka ◽  
Hiroyasu Ohtsu
Keyword(s):  
Stress Distribution ◽  
Isogeometric Analysis ◽  
Bézier Extraction

Multi-patch isogeometric analysis for Kirchhoff–Love shell elements

2019 ◽  
Vol 349 ◽  
pp. 91-116 ◽  
Author(s):  
S. Schuß ◽  
M. Dittmann ◽  
B. Wohlmuth ◽  
S. Klinkel ◽  
C. Hesch
Keyword(s):  
Isogeometric Analysis ◽  
Shell Elements
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