Analysis of Thick-Walled Orthotropic Cylinder in the Theory of Creep

Bhatnagar, N. S.; Gupta, Shubham

doi:10.1143/jpsj.27.1655

Cited by 27 publications

(10 citation statements)

References 5 publications

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“…Polar coordinates axes, i.e., r, θ and z along the radial, tangential and axial directions of the cylinder, respectively, were assumed. The basic equilibrium equation of rotating cylinder is given as

r \frac{d σ_{normalr}}{italicdr} = (σ_{normalθ} - σ_{normalr}) - ρ ω^{2} r^{2}

where σ θ and σ r are the stresses in tangential and radial directions, respectively. As per above assumptions, volume of the cylinder or the volumetric strain, i.e., sum of strains in r, θ and z will be constant with time and is given as

ε_{normalr} + ε_{normalθ} + ε_{normalz} = constant

{\dot{ε}}_{normalr} + {\dot{ε}}_{normalθ} + {\dot{ε}}_{normalz} = 0

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Steady‐State Creep Analysis of Functionally Graded Rotating Cylinder

Mangal

Kapoor

Singh³

2013

Strain

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Axi-symmetric component like cylinder etc. has to operate under severe thermo-mechanical loads, which cause significant creep. It, thus, reduces its service life. The present study investigates the steady-state creep in a functionally graded rotating cylinder at constant angular speed. The cylinder is made up of aluminium matrix and reinforced with silicon carbide particles. The thermal gradient in the functionally graded rotating cylinder is estimated by performing finite element analysis on ANSYS software (ANSYS Inc., Canonsburg, USA). The creep behaviour of the cylinder has been described by threshold stress-based creep law. The creep parameters are obtained by conducting regression analysis. The mathematical models have been developed to describe steady-state creep in the cylinder. The study reveals that the radial, tangential, axial and effective stresses in the cylinder are significantly affected by the presence of particle gradient alone as well as with the presence of particle & thermal gradient both. It has been found that the creep rates have been reduced significantly by imposition of particle and thermal gradients together and thus increases the service life of cylinder.

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r \frac{d σ_{normalr}}{italicdr} = (σ_{normalθ} - σ_{normalr}) - ρ ω^{2} r^{2}

ε_{normalr} + ε_{normalθ} + ε_{normalz} = constant

{\dot{ε}}_{normalr} + {\dot{ε}}_{normalθ} + {\dot{ε}}_{normalz} = 0

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Steady‐State Creep Analysis of Functionally Graded Rotating Cylinder

Mangal

Kapoor

Singh³

2013

Strain

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“…Bhatnagar and Gupta [11] have also developed creep constitutive equations for anisotropic materials based on Hill's stress and these equations have been used to study the creep of thick walled cylinders under internal pressure [12]. However, these analytical solutions make Fig.…”

Section: Validation Of Anisotropic Creep Modelmentioning

confidence: 99%

The effect of weld metal anisotropy on the creep of a pressurized, circumferentially welded pipe

Hyde

Peravali

Leen

2007

Proceedings of the Institution of Mechanical Engineers, Part L:

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A finite element implementation of the Hill anisotropic model has been applied to the problem of the determination of the steady-state creep behaviour of an internally-pressurised, two-material, axisymmetric P91 welded pipe. The anisotropic model results have been validated against an available analytical solution using homogeneous steady-state creep properties. In the two-material model, the parent (base) metal is assumed to be isotropic while the weld metal is assigned different creep properties in the welding direction (circumferential) and the direction transverse to welding, consistent with observations on the creep behaviour of P91 weld metal. The anisotropic material behaviour of the pipe was characterised using two constants, p and S, which respectively represent (a) the ratio of transverse to longitudinal creep strain rates in the weld metal and (b) the ratio of weld metal longitudinal to parent metal creep strain rates. The effects of these parameters on the stresses at critical positions were studied parametrically, along with the Norton stress exponent, n, and different end loading conditions.

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“…Rimrott, 1959, used generally accepted assumptions of constant density, zero axial strain and distortion energy theory to derive equations for creep rate, creep strains and creep stresses in a, closed end, thick-walled hollow cylinder subjected to internal pressure. Bhatnagar and Gupta, 1969 obtained the solution for thick walled cylinder made of an orthotropic material and subjected to internal pressure. In recent years, the problem of creep in composite cylinders made of Functionally Graded Materials (FGMs) operating at high pressure and temperature has attracted the interest of many researchers.…”

Section: Introductionmentioning

confidence: 99%

Effect of Material Parameters on Steady State Creep in a Thick Composite Cylinder Subjected to Internal Pressure

Singh¹,

Gupta

2009

Jou. Eng. Res.

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The steady state creep in Al-SiC P composite cylinder subjected to internal pressure was investigated. The creep behavior of the material were described by threshold stress based creep law by assuming a stress exponent of 5. The effect of size and content of the reinforcement (SiC P ), and operating temperature on the stresses and strain rates in the composite cylinder were investigated. The stresses in the cylinder did not have significant variation with varying size and content of the reinforcement, and operating temperature. However, the tangential as well as radial strain rates in the cylinder could be reduced to a significant extent by decreasing size of SiC P , increasing the content of SiC P and decreasing operating temperature.

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Analysis of Thick-Walled Orthotropic Cylinder in the Theory of Creep

Cited by 27 publications

References 5 publications

Steady‐State Creep Analysis of Functionally Graded Rotating Cylinder

Steady‐State Creep Analysis of Functionally Graded Rotating Cylinder

The effect of weld metal anisotropy on the creep of a pressurized, circumferentially welded pipe

Effect of Material Parameters on Steady State Creep in a Thick Composite Cylinder Subjected to Internal Pressure

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