Elasto-Plastic Analysis of a Functionally Graded Rotating Disk Under Cyclic Thermo-Mechanical Loadings Considering Continuum Damage Mechanics

Nayebi, A.; Tirmomenin, Ali; Damadam, Mohsen

doi:10.1142/s175882511550026x

Cited by 24 publications

(7 citation statements)

References 21 publications

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“…The boundaries separating zones for the ratcheting, elastic shakedown, and plastic shakedown have first been studied by Bree 132 in a pressurized pipe under cyclic temperature gradient. [155][156][157] Literature has also reported a few studies conducted on shakedown/ ratcheting boundaries for pressure vessels made of functionally graded materials and composites. 149 Figure 14 demonstrates Bree's typical diagram presenting distinct boundaries and zones.…”

Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

“…Bree's diagram has been employed by several researchers over the last half-century. [150][151][152][153][154][155][156][157][158][159] Ratcheting and shakedown boundaries of different structures such as beams under bending moments and axial loads plus cyclic temperature gradient, 150 spherical pressure vessels, 151 pressurized pipes, 31,152 elbows, 153 and nozzles 154 under internal pressure and cyclic thermal and bending loads have been studied by means of Bree's diagram. The impact of damage and defects on the shakedown boundaries was also investigated through research work as reflected in references.…”

Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

“…The impact of damage and defects on the shakedown boundaries was also investigated through research work as reflected in references. [155][156][157] Literature has also reported a few studies conducted on shakedown/ ratcheting boundaries for pressure vessels made of functionally graded materials and composites. 158,159 A recent research 29 on Bree's diagram attempted to analyse the boundaries and regions for a thin-walled internally pressurized steel tube tested at constant pressure of σ p = √3 2 pr tσ y and thermal stress cycles…”

Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

See 2 more Smart Citations

Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges

Varvani‐Farahani

Nayebi

2018

Fatigue Fract Eng Mat Struct

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The current study has attempted to comprehensively review ratcheting response of materials involving various influential parameters such as loading spectra, thermal cycles, stress levels, stress raisers, strain rate, and visco‐plasticity and material types with a focus on pressurized pipes and equipment. The mechanism of deformation, types, and the rate of progress over stages of ratcheting were discussed. Safety design codes and procedures were highlighted for reliable design of pressurized pipes against progressive ratcheting and to safeguard the system against catastrophic failure at which both mechanical and thermal ratcheting were integrated. Boundaries and demarcation of ratcheting‐shakedown zones developed based on Bree's diagram were employed to assess plastic deformation accumulation over stress cycles. Shakedown and ratcheting boundaries were discussed through methods developed on the basis of Melan's theorem over last few decades. Ratcheting response of materials was reviewed through descriptions of parametric models and kinematic hardening rules involving various variables and parameters. Interaction of ratcheting with creep and low‐cycle fatigue has promoted progressive damage in materials. Pressurized pipes subjected to thermal cycles and external bending cycles were evaluated by numerical solutions along with kinematic hardening rules to assess ratcheting over stress cycles.

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Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

Section: Ratcheting and Shakedown Boundariesmentioning

confidence: 99%

See 1 more Smart Citation

Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges

Varvani‐Farahani

Nayebi

2018

Fatigue Fract Eng Mat Struct

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“…Fatehi and Nejad [2014] investigated the effects of material gradient on the onset of yield in FGM rotating thick cylindrical shells. Nayebi et al [2015] did an elastic-plastic analysis of a FG rotating disk under cyclic thermo-mechanical loadings considering continuum damage mechanics.…”

Section: Introductionmentioning

confidence: 99%

Stress Analysis of a Functionally Graded Micro/ Nanorotating Disk with Variable Thickness Based on the Strain Gradient Theory

Baghani

Heydarzadeh

Roozbahani

2016

Int. J. Appl. Mechanics

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In this paper, mechanical response of a micro/nanorotating disk made of functionally graded materials (FGMs) with variable thickness is investigated. Through utilizing variational method and considering the strain gradient theory, the governing equations and the boundary conditions are derived. In order to verify the developed formulation, in special limiting cases, the results are compared with those available in the literature. These comparisons show an excellent correspondence. Employing numerical techniques, some numerical results are presented to investigate the effect of variations of properties and thickness on the response of the small scale rotating disk. It is found that the non-homogeneity constants have a remarkable effect on the stress distribution in the FG rotating disk. Furthermore, the amount of stress could be reduced in the rotating disk through fabricating it with variable thickness.

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“…These materials are advanced, heat resisting, erosion and corrosion resistant, and have high fracture toughness [Keles and Conker, 2011]. Nowadays, they are generally used as structural components in high temperature environments [Nayebi et al, 2015]. Recently, FGMs structures are extensively applied in various fields and are of great interest for engineers and researchers.…”

mentioning

confidence: 99%

Thermo-Elasto-Plastic Analysis of Thick-Walled Spherical Pressure Vessels Made of Functionally Graded Materials

Mazarei

Nejad

Hadi

2016

Int. J. Appl. Mechanics

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An exact closed-form analytical solution is presented to solve the thermo-elasto-plastic problem of thick-walled spherical vessels made of functionally graded materials (FGMs). Assuming that the inner surface is exposed to a uniform heat flux, and that the outer surface is exposed to an airstream. The heat conduction equation for the one-dimensional problem in spherical coordinates is used to obtain temperature distribution in the sphere. Material properties are graded in the thickness direction according to a power law distribution, whereas the Poisson's ratio is kept constant. The Poisson's ratio due to slight variations in engineering materials is assumed constant. The plastic model is based on von Mises yield criterion and its associated flow rules under the assumption of perfectly plastic material behavior. For various values of inhomogeneity constant, the so-obtained solution is then used to study the distribution of limit heat flux, displacement and stresses versus the radial direction. Moreover, the effect of increasing the heat flux and pressure on the propagation of the plastic zone are investigated. Furthermore, the effect of change in Poisson's ratio on the value of the critical material parameter is demonstrated. The present study is also validated by comparing the numerical results for thick elasto-plastic spherical shells available in the literature. To the best of the authors' knowledge, in previous studies, exact thermo-elasto-plastic behavior of FGM thick-walled sphrical pressure vessels has not investigated.FGMs are heterogeneous materials with the elastic and thermal properties changing continuously from one surface to the other. The material is constructed by smoothly changing the volume fraction of the constituent materials. These materials are advanced, heat resisting, erosion and corrosion resistant, and have high fracture toughness [Keles and Conker, 2011]. Nowadays, they are generally used as structural components in high temperature environments [Nayebi et al., 2015]. Recently, FGMs structures are extensively applied in various fields and are of great interest for engineers and researchers. As a kind of important structural elements, in recent decades, thick spherical shells made from FGMs are applied in an increasing number of engineering structures to satisfy special functional requirements [Ye et al., 2014]. These structures are widely used in both civilian and mechanical structures [Zhao et al., 1994]. Because of the requirements of some new manufacturing methods, the thermo-elasto-plastic behavior of spherical shells is now also of interest to engineers.Durban and Baruch [1977] studied the nonlinear behavior of a thick-walled sphere under internal and external pressure. In another work, Durban [1983] obtained an exact solution for the thermo-elastic/plastic problem of a thick-walled sphere subjected to a radial temperature gradient using linear-hardening for plastic model. Vaziri [1992] presented a semi-analytical approach to elasto-plastic analysis of hollow spheres. In this pa...

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Elasto-Plastic Analysis of a Functionally Graded Rotating Disk Under Cyclic Thermo-Mechanical Loadings Considering Continuum Damage Mechanics

Cited by 24 publications

References 21 publications

Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges

Ratcheting in pressurized pipes and equipment: A review on affecting parameters, modelling, safety codes, and challenges

Stress Analysis of a Functionally Graded Micro/ Nanorotating Disk with Variable Thickness Based on the Strain Gradient Theory

Thermo-Elasto-Plastic Analysis of Thick-Walled Spherical Pressure Vessels Made of Functionally Graded Materials

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