Numerical Simulation of Localized Bulging in an Inflated Hyperelastic Tube with Fixed Ends

被引:5
|
作者
Lin, Zehui [1 ]
Li, Linan [1 ,2 ]
Ye, Yang [1 ]
机构
[1] Tianjin Univ, Dept Mech, Tianjin 300350, Peoples R China
[2] Tianjin Key Lab Nonlinear Dynam & Control, Tianjin 300350, Peoples R China
基金
中国国家自然科学基金;
关键词
Localized bulging; numerical analysis; end conditions; bifurcation; nonlinear elasticity; isotropic model; ELASTIC-MATERIAL; ARBITRARY THICKNESS; CIRCULAR-CYLINDERS; CYLINDRICAL TUBE; BIFURCATION; PROPAGATION; INSTABILITY; POSTBIFURCATION; INITIATION; BALLOONS;
D O I
10.1142/S1758825120501185
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
When a hyperelastic tube is inflated, the inflation pressure has a maximum for almost all rubber material models, but has no maximum for commonly used arterial models. It is generally believed that the pressure having a maximum is a necessary condition for localized bulging to occur, and therefore aneurysms cannot be modeled as a mechanical bifurcation phenomenon. However, recent theoretical studies have shown that if the axial stretch is fixed during inflation, localized bulging may still occur even if a pressure maximum does not exist in uniform inflation. In this paper, numerical simulations are conducted to confirm this theoretical prediction. It is also demonstrated that if the axial pre-stretch is not sufficiently large, unloading near the two ends can reduce the axial stress to a value close to zero and Euler-type buckling then occurs.
引用
收藏
页数:14
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