Closed form solutions for fluid flow in a thin walled tube buckled by a uniform external pressure

1969 ◽  
Vol 7 (9) ◽  
pp. 963-971 ◽  
Author(s):  
John W. Lambert
Keyword(s):  
Fluid Flow ◽  
Closed Form ◽  
External Pressure ◽  
Uniform External Pressure ◽  
Closed Form Solutions ◽  
Thin Walled Tube ◽  
Thin Walled

A New Constitutive Model in the Theory of Plasticity—Part II: Examples

1995 ◽  
Vol 117 (4) ◽  
pp. 371-377 ◽  
Author(s):  
W. Jiang
Keyword(s):  
Plastic Strain ◽  
Constitutive Model ◽  
Closed Form ◽  
Hardening Model ◽  
Closed Form Solutions ◽  
Loading Paths ◽  
Theory Of Plasticity ◽  
Thin Walled Tube ◽  
Thin Walled

This part of the paper presents several examples to further demonstrate the hardening model proposed in the first part of the paper. Closed-form solutions are achieved for a thin-walled tube subjected to linear, rectangular, and circular loading paths, and the corresponding yield center loci and plastic strain trajectories are illustrated. The features of this model are further discussed.

Elastic buckling of thin-walled polyhedral pipe liners encased in a circular pipe under uniform external pressure

2018 ◽  
Vol 123 ◽  
pp. 214-221 ◽  
Author(s):  
Zhaochao Li ◽  
Yan Tang ◽  
Fujian Tang ◽  
Yizheng Chen ◽  
Genda Chen
Keyword(s):  
External Pressure ◽  
Circular Pipe ◽  
Elastic Buckling ◽  
Uniform External Pressure ◽  
Thin Walled

Closed form solutions for shear deformable thin-walled beams including global and through-thickness warping effects

2021 ◽  
Vol 158 ◽  
pp. 107190
Author(s):  
Arash Sahraei ◽  
Payam Pezeshky ◽  
Siriwut Sasibut ◽  
Feng Rong ◽  
Magdi Mohareb
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Thin Walled ◽  
Shear Deformable

Elastohydrodynamic Effects in a Clearance Seal

1970 ◽  
Vol 92 (2) ◽  
pp. 310-313 ◽  
Author(s):  
N. M. Wang ◽  
M. M. Kamal
Keyword(s):  
High Pressure ◽  
Fluid Flow ◽  
Closed Form ◽  
Linear Function ◽  
Reynolds Equation ◽  
Hydrodynamic Lubrication ◽  
Theory Of Elasticity ◽  
Exponential Dependence ◽  
Closed Form Solutions ◽  
Metal Seal

An elastohydrodynamic solution for a high-pressure, low-clearance metal seal is presented. The fluid flow is assumed to satisfy Reynolds equation of hydrodynamic lubrication, and the deformation of the shaft and the seal is governed by the linear theory of elasticity. The viscosity of the fluid is assumed to have an exponential dependence on the pressure, while the density of the fluid is a linear function of the pressure. Closed-form solutions are obtained for two asymptotic limiting cases: (i) when the length of the seal is much greater than the radius of the shaft, and (ii) when it is much less. For intermediate ratios of the seal length to shaft radius, solutions are obtained numerically and examples are given to show the effect of seal length on the rate of mass flow.

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