Existence of a Steady Flow of Stokes Fluid Past a Linear Elastic Structure Using Fictitious Domain

2015 ◽  
Vol 18 (2) ◽  
pp. 397-413 ◽  
Author(s):  
Andrei Halanay ◽  
Cornel Marius Murea ◽  
Dan Tiba
Keyword(s):  
Steady Flow ◽  
Elastic Structure ◽  
Fictitious Domain ◽  
Linear Elastic ◽  
Stokes Fluid

scholarly journals An Enhanced Coupled Lagrangian Solver for Incompressible Fluid and Non-linear Elastic Structure Interactions

2016 ◽  
Vol 72 (2) ◽  
pp. I_1117-I_1122 ◽  
Author(s):  
Abbas KHAYYER ◽  
Hosein FALAHATY ◽  
Hitoshi GOTOH ◽  
Takazumi KOGA
Keyword(s):  
Incompressible Fluid ◽  
Elastic Structure ◽  
Linear Elastic ◽  
Non Linear

scholarly journals Robust shape optimization method for a linear elastic structure with unknown loadings

2015 ◽  
Vol 81 (832) ◽  
pp. 15-00353-15-00353 ◽  
Author(s):  
Masatoshi SHIMODA ◽  
Tomohiro NAGANO ◽  
Kohei SHINTANI ◽  
Satoshi ITO
Keyword(s):  
Shape Optimization ◽  
Optimization Method ◽  
Elastic Structure ◽  
Linear Elastic

Three-Dimensional Steady Flow in Non-Linear Elastic Collapsible Tubes

2009 ◽  
Author(s):  
Wonhyuk Koh ◽  
Sungwoo Kang ◽  
Myunghwan Cho ◽  
Jung Yul Yoo
Keyword(s):  
Steady Flow ◽  
Elastic Material ◽  
Three Dimensional ◽  
Elastic Tube ◽  
Wall Material ◽  
Linear Elastic Material ◽  
Linear Elastic ◽  
Collapsible Tubes ◽  
Elastic Wall ◽  
Non Linear

Three-dimensional fluid-structure interaction problem arising from steady flow in non-linear elastic tube is studied numerically by using a finite element software, ADINA. Strain-energy density function is used for non-linear elastic analysis of solid material. Navier-Stokes equation coupled with elastic wall condition is solved for the fluid flow. To simulate interactions between the fluid and the solid domains, arbitrary Lagrangian-Eulerian (ALE) formulation is utilized. For validation, thin-walled linear elastic collapsible tubes is computed and compared with previous numerical results. The tube collapses into the buckling mode N = 2 and the results are in excellent agreement with a previous study. Then, the results for linear elastic tube are compared with those for non-linear elastic tube to show the effects of non-linear elasticity of the wall. The wall material is considered to be non-linear hyperelastic and isotropic. The non-linear elastic wall shows the tendency to preserve its shape more than the linear material. The deformation patterns, pressure distributions of the tube with non-linear elastic material are significantly different from those with linear elastic material.

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