Finite element formulation for nano‐scaled beam elements

2021 ◽  
Author(s):  
Ömer Civalek ◽  
Büşra Uzun ◽  
Mustafa Özgür Yaylı
Keyword(s):  
Finite Element ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Beam Elements

scholarly journals Corotational Finite Element Formulation for Static Nonlinear Analyses with Enriched Beam Elements

AIAA Journal ◽  
2020 ◽  
Vol 58 (5) ◽  
pp. 2276-2292
Author(s):  
T. Macquart ◽  
S. Scott ◽  
P. Greaves ◽  
P. M. Weaver ◽  
A. Pirrera
Keyword(s):  
Finite Element ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Nonlinear Analyses ◽  
Beam Elements

scholarly journals A coupled thermo-hydro-mechanical finite element formulation of one-dimensional beam elements for three-dimensional analysis

2018 ◽  
Vol 104 ◽  
pp. 29-41 ◽  
Author(s):  
Klementyna A. Gawecka ◽  
David M. Potts ◽  
Wenjie Cui ◽  
David M.G. Taborda ◽  
Lidija Zdravković
Keyword(s):  
Finite Element ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
One Dimensional ◽  
Beam Elements

Laying Modeling of Submarine Pipelines Using Contact Elements into a Corotational Formulation

2003 ◽  
Vol 125 (2) ◽  
pp. 145-152 ◽  
Author(s):  
Cora E. Marti´nez ◽  
Rau´l Goncalves
Keyword(s):  
Finite Element ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Submarine Pipeline ◽  
Corotational Formulation ◽  
Nonlinear Beam ◽  
Sea Floor ◽  
Beam Elements ◽  
Oil Transportation ◽  
Spring Contact

A new finite element formulation to analyze stresses and displacements in submarine pipelines during laying operations is presented in this paper. The method is based on the corotational formulation using Bernoulli nonlinear beam elements to model the large displacements and rotations of the pipeline. The penalty method is used with spring-contact elements to accurately represent the actual boundary conditions on both the stinger and the sea floor. A comparison with a finite element formulation introduced by the authors in a previous paper is presented in order to verify the accuracy and computational effectiveness of the proposed method. A real laying case of an oil transportation submarine pipeline is also presented at the end of the paper to validate the results obtained with the developed formulation.

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