Elastic–plastic stress analysis of rotating functionally graded discs

Çallıoğlu, Hasan; Sayer, Metin; Demir, Ersin

doi:10.1016/j.tws.2015.03.016

Cited by 42 publications

(21 citation statements)

References 18 publications

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“…Nejad et al [4] performed elasto-plastic analysis of FGM disk based on power law variation of Young's modulus, density and yield limit is reported, wherein the stresses and deformations of three different plastic regions were presented using Tresca's yield condition. Çallıoğlu et al [5] described similar variation in mechanical properties for different angular velocity based on von Mises yield condition. It is observed that yielding region expands throughout the outer surface of the disk for non-work hardening case under increasing angular speed.…”

Section: Introductionmentioning

confidence: 92%

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Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties

Madan¹,

Saha²,

Bhowmick³

2019

MMEP

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In present work, exponential law based grading of composition is considered for high speed rotating disks and Young's modulus is calculated for two cases namely; temperature dependent and temperature independent applications. In temperature dependent applications, Young's modulus is assumed to vary with temperature as well throughout the spatial coordinates of the disk. The effective Young's modulus of FGM is then calculated using modified rule of mixture. Limit elastic analysis is performed by using variational principle. Results show the effect of temperature over stresses and obtained limit elastic speed. It is observed that limit speed first increases with an increase in aspect ratio and starts decreasing after reaching a critical value. Limit speed also increases with increase in grading index. Effective yield stress of FGM is computed and plotted along with other stresses to identify location of yielding.

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Section: Introductionmentioning

confidence: 92%

“…Young's modulus of metal and ceramicTemperature dependency of Young's modulus of metal and ceramic were computed using Eq (5)…”

mentioning

confidence: 99%

Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties

Madan¹,

Saha²,

Bhowmick³

2019

MMEP

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“…However, in terms of distribution functions defining material grading, as in the present study, an arbitrary relation could well be considered. The present study is carried out for n = 4m [24]. The effective stress, at each radial coordinate, is calculated as follows.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…A significant observation of the yield front propagation with increase in speed is also reported. Based on von-Mises yield criterion, [24] reported the elastic-plastic behavior of FG disks for a non-work hardening material and power-law variation of material properties and reported the limit speeds and growth of plastic region at different rotational speeds. The influence of thermo-mechanical loading on stresses and deformation of rotating disk with varying thicknesses under different temperature distribution profiles and the effect of temperature on yield stress and limit speed of the disks has been reported in [25].…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

Limit elastic speeds of functionally graded annular disks

Sondhi¹,

Sanyal²,

Saha³

et al. 2018

FME Transactions

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Based on Variational principle, the limit elastic angular speed of rotating disk made of functionally graded material is reported. Assuming a series approximation following Galerkin's principle, the solution of the governing equation is obtained based upon von Mises failure criterion. The elasticity modulus, density and yield stress are assumed to vary according to power law with grading index in the range of-3.0 to 3.0. At grading index, n = 0.0, the disk assumes isotropic material behavior. The investigation reports the variation of limit elastic speed with grading parameter for a different ratio aspect of the annular disk and establishes the existence of optimum grading index at each ratio aspect. The location of yield initiation is also reported in each case and is observed to play a significant role in optimizing limit elastic speed. Further, the displacement, strain and stress states of the disks at limit elastic speed is also reported. The results are validated with benchmarks for the appropriate system parameter values. Due to Variational nature of the solution and ease of handling the non-linear failure criterion, the solution methodology is observed to be stable, simple and robust.

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“…Moreover, the room temperature (22 C) is also taken into consideration. Then, the Young's modulus of the material is calculated for each temperature value according to Equation (2). According to the results obtained from the calculation, the variation of the Young's modulus with temperature is shown in Figure 2.…”

Section: Materials Properties (Malzeme öZellikleri)mentioning

confidence: 99%

Longitudinal Vibration of Temperature Dependent Bar with Variable Cross-Section

Demir¹

2018

Journal of Polytechnic

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Bu makaleye şu şekilde atıfta bulunabilirsiniz(To cite to this article): Demir E., "Longitudinal vibration of temperature dependent bar with variable cross-section", Politeknik Dergisi, 21(4): 813-819, (2018).Erişim linki (To link to this article): http://dergipark.gov.tr/politeknik/archive ABSTRACT Vibration behavior of a bar with variable cross-section, which its material properties vary with temperature, is investigated in this study. In the analysis, not only theoretical solution but also numerical solution is performed for validation. The numerical analysis is overcome by SolidWorks program based on finite element method. Four types of effects on the bar are investigated. These are effects of temperature variation, geometric ratio, slenderness ratio and mode numbers variation. The temperature is increased from 22 C to 250 C. The geometric ratio is varied from 0 to -1/L at intervals of 0.25/L. The slenderness ratio is varied from 1/10 to 1/20 by increasing the length of bar from 200 mm to 400 mm. As for the mode numbers, the first three mode shapes are examined in the analysis. The boundary condition of the bar is taken as clamped-free. According to the results, the natural frequency decreases with increasing the temperature. The natural frequency also decreases with decreasing the slenderness ratio. But, it increases with decreasing the geometric ratio and also increases with increasing the mode number. When the theoretical and numerical results are examined, it is seen that the results are in harmony. ÖZBu çalışmada malzeme özellikleri sıcaklıkla değişen, değişken kesitli bir çubuğun titreşim davranışları araştırılmıştır. Analizde, doğrulama için sadece teorik çözüm değil aynı zamanda sayısal çözümde yapılmıştır. Sayısal analiz, sonlu elemanları esas alan SolidWorks programı ile yapılmıştır. Çubuğa etkiyen dört tip etki araştırılmıştır. Bunlar, sıcaklık değişiminin, geometrik oranın, narinlik oranının ve mod sayısının değişimin etkileridir. Sıcaklık 22 C'den 250 C'ye kadar artırılmıştır. Geometrik oran, 0.25/L aralıklarla 0'dan -1/L'ye değiştirilmiştir. Narinlik oranı, çubuğun boyu 200 mm'den 400 mm'ye artırılarak, 1/10'dan 1/20'ye değiştirilmiştir. Mod sayılarına gelince, analizde ilk üç mod şekli incelenmiştir. Çubuğun sınır koşulları ankastre-serbest olarak alınmıştır. Sonuçlara göre sıcaklığın artmasıyla doğal frekans düşer. Doğal frekans, narinlik oranının düşmesiyle de düşer. Fakat geometrik oranın düşmesiyle ve mod sayısının artmasıyla artar. Teorik ve sayısal sonuçlar incelendiğinde, sonuçların uyum içinde olduğu görülür.

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Elastic–plastic stress analysis of rotating functionally graded discs

Cited by 42 publications

References 18 publications

Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties

Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties

Limit elastic speeds of functionally graded annular disks

Longitudinal Vibration of Temperature Dependent Bar with Variable Cross-Section

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