Modeling Steady State Creep in Functionally Graded Thick Cylinder Subjected to Internal Pressure

Singh, Tejeet; Gupta, V. K.

doi:10.1177/0021998309353214

Cited by 18 publications

(7 citation statements)

References 41 publications

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“…The magnitude of strain observed in non-linear FGM cylinders (C3) is the lowest over the entire radius when compared to linear FGM cylinder (C2) and uniform composite cylinder C1. The superiority of creep response of FGM cylinder over non-FGM cylinder, as indicated in the present study, is also confirmed by earlier reported work of Singh and Gupta (2010) for linear FGM cylinder made of Al-SiC p .…”

Section: Fe Modeling Of Creepsupporting

confidence: 92%

“…It is important to mention that similar to work of Singh and Gupta (2010) for linear FGM cylinder made of Al-SiC p , the present analysis could not be carried out for cylinder made of Al-SiC p . It is attributed to the fact that the value of creep parameter B 96 MMMS 10,1 for Al-SiC p composite is less than 10 À29 (Singh and Ray, 2001), which is below the recommended minimum of 10 À27 (refer Section 11.2.4 of ABAQUS, 2004).…”

Section: Distribution Of Reinforcementmentioning

confidence: 98%

“…You et al (2007) investigated the effect of varying material properties on the steady state creep in thick-walled FGM cylindrical vessel subjected to internal pressure. Singh and Gupta (2010) used threshold stress based creep law to mathematically analyze the effect of imposing radially varying linear gradient of SiC p reinforcement on the distribution of stresses and strain rates in a composite cylinder made of Al-SiC p . The strain rates in the cylinder were observed to reduce significantly upon imposition of gradient in the distribution of reinforcement.…”

Section: Introductionmentioning

confidence: 99%

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FE modeling of creep in linear and non-linear FGM cylinder under internal pressure

Garg

Deepak

Gupta

2014

Multidiscipline Modeling in Materials and Structures

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Purpose -The purpose of this paper is to investigate creep in an internally pressurized thick-walled, closed ends cylinder made of functionally graded composite, having linear and non-linear distribution of reinforcement, using finite element (FE) analysis. Design/methodology/approach -FE-based Abaqus software is used to investigate creep behavior of a functionally graded cylinder. The cylinder is made of composite containing linear and non-linearly varying distributions of reinforcement along the radius. The creep behavior has been described by Norton's power law. The creep stresses and strains have been estimated in linear and non-linear functionally graded materials (FGM) cylinders and compared with those estimated for a similar composite cylinder but having uniform distribution of reinforcement. Findings -The radial stress in the composite cylinder is observed to decreases over the entire radius upon imposing linear or non-linear reinforcement gradients. However, the tangential stress in the cylinder increases near the inner radius but decreases toward the outer radius, on imposing linear or non-linear reinforcement gradients. The creep strains in the FGM cylinders are significantly lower than those observed in a uniform composite cylinder. Originality/value -The creep strains in an internally pressurized functionally graded thick composite cylinder could be reduced significantly by employing non-linear distribution of reinforcement along the radial direction.

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Section: Fe Modeling Of Creepsupporting

confidence: 92%

Section: Distribution Of Reinforcementmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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FE modeling of creep in linear and non-linear FGM cylinder under internal pressure

Garg

Deepak

Gupta

2014

Multidiscipline Modeling in Materials and Structures

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“…P Al is pure aluminum property, P SiC is pure silicon carbide property, and V (r ) is volume content of silicon carbide particles at radius r . We need to point out that this kind of rule of mixtures is not appropriate for every kind of property; however, for Al-SiC composite, several investigators [3,7,11] have used this kind of radial-dependent property for some of mechanical and thermal properties. Based on Eq.…”

Section: Materials Propertiesmentioning

confidence: 99%

Time-dependent thermoelastic creep analysis of rotating disk made of Al–SiC composite

et al. 2011

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Time-dependent creep stress redistribution analysis of rotating disk made of Al-SiC composite is investigated using Mendelson's method of successive elastic solution. All mechanical and thermal properties except Poisson's ratio are radial dependent based on volume fraction percent of SiC reinforcement. The material creep behavior is described by Sherby's constitutive model using Pandey's experimental results on Al-SiC composite. Loading is an inertia body force due to rotation and a distributed temperature field due to steady-state heat conduction from inner to outer surface of the disk. Using equations of equilibrium, stress strain, and strain displacement, a differential equation, containing creep strains, for displacement is obtained. History of stresses and deformations are calculated using method of successive elastic solution. It is concluded that the uniform distribution of SiC reinforcement does not considerably influence on stresses. However, the minimum and most uniform distribution of circumferential and effective thermoelastic stresses belongs to composite disk of aluminum with 0% SiC at inner surface and 40% SiC at outer surface. It has also been found that the stresses, displacement, and creep strains are changing with time at a decreasing rate so that after almost 50 years the solution approaches the steady-state condition.

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“…Rearchers have used various mathematical methods such as Runge Kutta 4th order, finite difference method (FDM), shooting method, complementary function method (CFM), homotopy analysis method for obtaining the solution of steady state creep in disks and cylinders made up of functionally graded materials. Creep models based on iterative technique, finite element method (FEM) and Seth’s transition theory for obtaining stress distribution in functionally graded rotating disks and cylinders can be also found in the literature [ 23 , 24 , 25 ]. Nie and Batra [ 26 ] studied the problem of material tailoring to obtain desired stress field in hollow cylinder made up of functionally graded in-compressible material with radially varying shear modulus.…”

Section: Introductionmentioning

confidence: 99%

Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement

et al. 2022

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Creep is an irreversible time-dependent deformation in which a material under constant mechanical stress and elevated temperature for a considerably prolonged period of time, starts to undergo permanent deformation. Creep deformation occurs in three stages namely, primary, secondary and tertiary. Out of these three stages, secondary or steady state creep is particularly an area of engineering interest as it has almost a constant creep rate. Creep deformation plays a significant role in understanding effective service life of an engineering component working under high temperature conditions as such components such as super-heater and re-heater tubes and headers in a boiler, jet engines operating at temperature as high as 1200 ∘C, usually experience a failure or rupture due to creep phenomenon. Design engineers keep a close attention on working stress conditions and elevated temperature under which an engineering component is expected to work as these conditions determine the onset of creep behavior in an engineering component. By recognizing the parameters of material response to creep behavior, engineers can analyse the useful service life and hazardous working conditions for an engineering components. Recognizing the creep phenomenon as high temperature design limitation, ASME Boiler and Pressure Vessel Code have provided guidelines on maximum allowable stresses for materials to be used in creep range. One of the criteria for determination of allowable stresses is 1% creep deformation of material in 100,000 h of service. Thus, the study of creep behavior in engineering components pertaining to high stress and temperature working conditions is very important as it affects the reliability and performance of the engineering components. The aim of our study is to understand the behavior of secondary creep deformation so that an advanced reinforced functionally graded material with better creep resistance, can be designed. In this paper, a secondary creep analysis of functionally graded (FG) thick-walled rotating cylinder under internal and external pressure is conducted. The novelty of the model intends to specify secondary creep stresses and strains by employing exponential, linear and quadratic volume reinforcement for SiCp ceramic in Al metal matrix in radial direction. This will help us to understand the effect of volume reinforcement in FG cylinder under internal/external pressure and rotating centrifugal body force by obtaining secondary creep stresses and strains. The response of the FG cylinder with isotropic material is analyzed and the solution for stress–strain rates in radial and tangential directions are obtained in closed form. Comparison of steady state creep stresses and strains under exponential, linear and quadratic volume reinforcement profiles are discussed and presented graphically.

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Modeling Steady State Creep in Functionally Graded Thick Cylinder Subjected to Internal Pressure

Cited by 18 publications

References 41 publications

FE modeling of creep in linear and non-linear FGM cylinder under internal pressure

FE modeling of creep in linear and non-linear FGM cylinder under internal pressure

Time-dependent thermoelastic creep analysis of rotating disk made of Al–SiC composite

Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement

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