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Year 2020, , 111 - 124, 13.12.2020
https://doi.org/10.24107/ijeas.809300

Abstract

References

  • Tutuncu, N. and B. Temel, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, 91, 385-390, 2009
  • Jahromi, B.H., A. Ajdari, H. Nayeb-Hashemi, and A. Vaziri, Autofrettage of layered and functionally graded metal–ceramic composite vessels. Composite structures, 92, 1813-1822, 2010
  • Jahromi, B.H., G. Farrahi, M. Maleki, H. Nayeb-Hashemi, and A. Vaziri, Residual stresses in autofrettaged vessel made of functionally graded material. Engineering Structures, 31, 2930-2935, 2009
  • Zhong, Z. and T. Yu, Analytical solution of a cantilever functionally graded beam. Composites Science and Technology, 67, 481-488, 2007
  • Arefi, M., S. Firouzeh, E.M.-R. Bidgoli, and Ö. Civalek, Analysis of Porous Micro-plates Reinforced with FG-GNPs Based on Reddy plate Theory. Composite Structures, 112391, 2020
  • Civalek, Ö. and M. Avcar, Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 1-33, 2020
  • Hadji, L. and M. Avcar, Free Vibration Analysis of FG Porous Sandwich Plates under Various Boundary Conditions. 2020
  • Jalaei, M. and Ӧ. Civalek, On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam. International Journal of Engineering Science, 143, 14-32, 2019
  • Zhang, J., S. Ullah, Y. Gao, M. Avcar, and O. Civalek, Analysis of orthotropic plates by the two-dimensional generalized FIT method. Computers and Concrete, 26, 421-427, 2020
  • Arnab, B., S. Islam, A. Khalak, and A. Afsar, Finite difference solution to thermoelastic field in a thin circular FGM disk with a concentric hole. Procedia Engineering, 90, 193-198, 2014
  • Zenkour, A., Stress distribution in rotating composite structures of functionally graded solid disks. Journal of Materials Processing Technology, 209, 3511-3517, 2009
  • Çallıoğlu, H., M. Sayer, and E. Demir, Elastic–plastic stress analysis of rotating functionally graded discs. Thin-Walled Structures, 94, 38-44, 2015
  • Sharma, J., D. Sharma, and S. Kumar, Vibration analysis of a rotating FGM thermoelastic axisymmetric circular disk using FEM. International Journal for Computational Methods in Engineering Science and Mechanics, 14, 262-270, 2013
  • Durodola, J. and J. Adlington. Functionally graded material properties for disks and rotors. in Key Engineering Materials. 1997. Trans Tech Publ.
  • Go, J., A. Afsar, and J. Song, Analysis of thermoelastic characteristics of a rotating FGM circular disk by finite element method. Advanced Composite Materials, 19, 197-213, 2010
  • Hassani, A., M. Hojjati, E. Mahdavi, R. Alashti, and G. Farrahi, Thermo-mechanical analysis of rotating disks with non-uniform thickness and material properties. International Journal of Pressure Vessels and Piping, 98, 95-101, 2012
  • Liew, K., S. Kitipornchai, X. Zhang, and C. Lim, Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders. International Journal of Solids and Structures, 40, 2355-2380, 2003
  • Kordkheili, S.H. and R. Naghdabadi, Thermoelastic analysis of a functionally graded rotating disk. Composite Structures, 79, 508-516, 2007
  • Afsar, A. and J. Go, Finite element analysis of thermoelastic field in a rotating FGM circular disk. Applied Mathematical Modelling, 34, 3309-3320, 2010
  • Peng, X.-l. and X.-f. Li, Thermoelastic analysis of functionally graded annulus with arbitrary gradient. Applied Mathematics and Mechanics, 30, 1211-1220, 2009
  • Peng, X.-L. and X.-F. Li, Effects of gradient on stress distribution in rotating functionally graded solid disks. Journal of Mechanical Science and Technology, 26, 1483-1492, 2012
  • Naghdabadi, R. and S.H. Kordkheili, A finite element formulation for analysis of functionally graded plates and shells. Archive of applied mechanics, 74, 375-386, 2005
  • You, L., Y. Tang, J. Zhang, and C. Zheng, Numerical analysis of elastic–plastic rotating disks with arbitrary variable thickness and density. International Journal of Solids and Structures, 37, 7809-7820, 2000
  • Khorsand, M. and Y. Tang, Design functionally graded rotating disks under thermoelastic loads: Weight optimization. International Journal of Pressure Vessels and Piping, 161, 33-40, 2018
  • Aslan, T.A., A.R. Noori, and B. Temel, A unified approach for out-of-plane forced vibration of axially functionally graded circular rods. European Mechanical Science, 2, 37-45, 2018
  • Celebi, K., D. Yarimpabuc, and N. Tutuncu, Free vibration analysis of functionally graded beams using complementary functions method. Archive of Applied Mechanics, 88, 729-739, 2018
  • Celebi, K., D. Yarimpabuc, and T. Baran, Forced vibration analysis of inhomogeneous rods with non-uniform cross-section. Journal of Engineering Research, 6, 189-202, 2018
  • Jing, L.-l., P.-j. Ming, W.-p. Zhang, L.-r. Fu, and Y.-p. Cao, Static and free vibration analysis of functionally graded beams by combination Timoshenko theory and finite volume method. Composite structures, 138, 192-213, 2016
  • Khan, A.A., M. Naushad Alam, and M. Wajid, Finite element modelling for static and free vibration response of functionally graded beam. Latin American journal of solids and structures, 13, 690-714, 2016
  • Roberts, S. and J. Shipman, Fundamental matrix and two-point boundary-value problems. Journal of Optimization Theory and Applications, 28, 77-88, 1979
  • Agarwal, R., On the method of complementary functions for nonlinear boundary-value problems. Journal of Optimization Theory and Applications, 36, 139-144, 1982
  • Yildirim, V., Free vibration analysis of non‐cylindrical coil springs by combined use of the transfer matrix and the complementary functions methods. Communications in Numerical Methods in Engineering, 13, 487-494, 1997
  • Celebi, K., D. Yarımpabuc, and I. Keles, A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties. Journal of Theoretical and Applied Mechanics, 55, 2017
  • Celebi, K., D. Yarimpabuc, and I. Keles, A unified method for stresses in FGM sphere with exponentially-varying properties. Structural Engineering and Mechanics, 57, 823-835, 2016
  • Yıldırım, A., K. Celebi, and D. Yarımpabuç, A Practical Approach for Thermal Stress of Functionally Graded Annular Fin. Journal of Engineering Thermophysics, 28, 556-568, 2019
  • Yıldırım, A., D. Yarımpabuç, and K. Celebi, Thermal stress analysis of functionally graded annular fin. Journal of Thermal Stresses, 42, 440-451, 2019

A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc

Year 2020, , 111 - 124, 13.12.2020
https://doi.org/10.24107/ijeas.809300

Abstract

In this study, a numerical approach has been introduced in the elastic stress solutions of hollow disks made of functionally graded materials (FGM) that are exposed to linearly increasing temperature dispersion. The modulus of elasticity and the coefficient of thermal expansion of the FGM disk is assumed to vary in radial direction in different forms, and it is further assumed that the Poisson’s ratio is constant. It causes the differential equation that manages the behaviour of the object under different material properties and boundary conditions to be a variable coefficient equation. Except for some simple grade materials and boundary conditions, it is hardly possible to produce an analytical solution of such equations. In this case, the solution of the problems can only be found with numerical approaches. Complementary Functions Method (CFM) was used to solve the problem. Different material models were used from the written works and corresponding radial, tangential and equivalent stresses and radial displacements were calculated. Simple, effective and well-structured solution steps can be easily implemented for disks.

References

  • Tutuncu, N. and B. Temel, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, 91, 385-390, 2009
  • Jahromi, B.H., A. Ajdari, H. Nayeb-Hashemi, and A. Vaziri, Autofrettage of layered and functionally graded metal–ceramic composite vessels. Composite structures, 92, 1813-1822, 2010
  • Jahromi, B.H., G. Farrahi, M. Maleki, H. Nayeb-Hashemi, and A. Vaziri, Residual stresses in autofrettaged vessel made of functionally graded material. Engineering Structures, 31, 2930-2935, 2009
  • Zhong, Z. and T. Yu, Analytical solution of a cantilever functionally graded beam. Composites Science and Technology, 67, 481-488, 2007
  • Arefi, M., S. Firouzeh, E.M.-R. Bidgoli, and Ö. Civalek, Analysis of Porous Micro-plates Reinforced with FG-GNPs Based on Reddy plate Theory. Composite Structures, 112391, 2020
  • Civalek, Ö. and M. Avcar, Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 1-33, 2020
  • Hadji, L. and M. Avcar, Free Vibration Analysis of FG Porous Sandwich Plates under Various Boundary Conditions. 2020
  • Jalaei, M. and Ӧ. Civalek, On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam. International Journal of Engineering Science, 143, 14-32, 2019
  • Zhang, J., S. Ullah, Y. Gao, M. Avcar, and O. Civalek, Analysis of orthotropic plates by the two-dimensional generalized FIT method. Computers and Concrete, 26, 421-427, 2020
  • Arnab, B., S. Islam, A. Khalak, and A. Afsar, Finite difference solution to thermoelastic field in a thin circular FGM disk with a concentric hole. Procedia Engineering, 90, 193-198, 2014
  • Zenkour, A., Stress distribution in rotating composite structures of functionally graded solid disks. Journal of Materials Processing Technology, 209, 3511-3517, 2009
  • Çallıoğlu, H., M. Sayer, and E. Demir, Elastic–plastic stress analysis of rotating functionally graded discs. Thin-Walled Structures, 94, 38-44, 2015
  • Sharma, J., D. Sharma, and S. Kumar, Vibration analysis of a rotating FGM thermoelastic axisymmetric circular disk using FEM. International Journal for Computational Methods in Engineering Science and Mechanics, 14, 262-270, 2013
  • Durodola, J. and J. Adlington. Functionally graded material properties for disks and rotors. in Key Engineering Materials. 1997. Trans Tech Publ.
  • Go, J., A. Afsar, and J. Song, Analysis of thermoelastic characteristics of a rotating FGM circular disk by finite element method. Advanced Composite Materials, 19, 197-213, 2010
  • Hassani, A., M. Hojjati, E. Mahdavi, R. Alashti, and G. Farrahi, Thermo-mechanical analysis of rotating disks with non-uniform thickness and material properties. International Journal of Pressure Vessels and Piping, 98, 95-101, 2012
  • Liew, K., S. Kitipornchai, X. Zhang, and C. Lim, Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders. International Journal of Solids and Structures, 40, 2355-2380, 2003
  • Kordkheili, S.H. and R. Naghdabadi, Thermoelastic analysis of a functionally graded rotating disk. Composite Structures, 79, 508-516, 2007
  • Afsar, A. and J. Go, Finite element analysis of thermoelastic field in a rotating FGM circular disk. Applied Mathematical Modelling, 34, 3309-3320, 2010
  • Peng, X.-l. and X.-f. Li, Thermoelastic analysis of functionally graded annulus with arbitrary gradient. Applied Mathematics and Mechanics, 30, 1211-1220, 2009
  • Peng, X.-L. and X.-F. Li, Effects of gradient on stress distribution in rotating functionally graded solid disks. Journal of Mechanical Science and Technology, 26, 1483-1492, 2012
  • Naghdabadi, R. and S.H. Kordkheili, A finite element formulation for analysis of functionally graded plates and shells. Archive of applied mechanics, 74, 375-386, 2005
  • You, L., Y. Tang, J. Zhang, and C. Zheng, Numerical analysis of elastic–plastic rotating disks with arbitrary variable thickness and density. International Journal of Solids and Structures, 37, 7809-7820, 2000
  • Khorsand, M. and Y. Tang, Design functionally graded rotating disks under thermoelastic loads: Weight optimization. International Journal of Pressure Vessels and Piping, 161, 33-40, 2018
  • Aslan, T.A., A.R. Noori, and B. Temel, A unified approach for out-of-plane forced vibration of axially functionally graded circular rods. European Mechanical Science, 2, 37-45, 2018
  • Celebi, K., D. Yarimpabuc, and N. Tutuncu, Free vibration analysis of functionally graded beams using complementary functions method. Archive of Applied Mechanics, 88, 729-739, 2018
  • Celebi, K., D. Yarimpabuc, and T. Baran, Forced vibration analysis of inhomogeneous rods with non-uniform cross-section. Journal of Engineering Research, 6, 189-202, 2018
  • Jing, L.-l., P.-j. Ming, W.-p. Zhang, L.-r. Fu, and Y.-p. Cao, Static and free vibration analysis of functionally graded beams by combination Timoshenko theory and finite volume method. Composite structures, 138, 192-213, 2016
  • Khan, A.A., M. Naushad Alam, and M. Wajid, Finite element modelling for static and free vibration response of functionally graded beam. Latin American journal of solids and structures, 13, 690-714, 2016
  • Roberts, S. and J. Shipman, Fundamental matrix and two-point boundary-value problems. Journal of Optimization Theory and Applications, 28, 77-88, 1979
  • Agarwal, R., On the method of complementary functions for nonlinear boundary-value problems. Journal of Optimization Theory and Applications, 36, 139-144, 1982
  • Yildirim, V., Free vibration analysis of non‐cylindrical coil springs by combined use of the transfer matrix and the complementary functions methods. Communications in Numerical Methods in Engineering, 13, 487-494, 1997
  • Celebi, K., D. Yarımpabuc, and I. Keles, A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties. Journal of Theoretical and Applied Mechanics, 55, 2017
  • Celebi, K., D. Yarimpabuc, and I. Keles, A unified method for stresses in FGM sphere with exponentially-varying properties. Structural Engineering and Mechanics, 57, 823-835, 2016
  • Yıldırım, A., K. Celebi, and D. Yarımpabuç, A Practical Approach for Thermal Stress of Functionally Graded Annular Fin. Journal of Engineering Thermophysics, 28, 556-568, 2019
  • Yıldırım, A., D. Yarımpabuç, and K. Celebi, Thermal stress analysis of functionally graded annular fin. Journal of Thermal Stresses, 42, 440-451, 2019
There are 36 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ayşegül Özgür This is me

Kutay Aydın 0000-0003-3614-4877

İbrahim Keles 0000-0001-8252-2635

Publication Date December 13, 2020
Acceptance Date December 6, 2020
Published in Issue Year 2020

Cite

APA Özgür, A., Aydın, K., & Keles, İ. (2020). A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc. International Journal of Engineering and Applied Sciences, 12(3), 111-124. https://doi.org/10.24107/ijeas.809300
AMA Özgür A, Aydın K, Keles İ. A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc. IJEAS. December 2020;12(3):111-124. doi:10.24107/ijeas.809300
Chicago Özgür, Ayşegül, Kutay Aydın, and İbrahim Keles. “A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc”. International Journal of Engineering and Applied Sciences 12, no. 3 (December 2020): 111-24. https://doi.org/10.24107/ijeas.809300.
EndNote Özgür A, Aydın K, Keles İ (December 1, 2020) A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc. International Journal of Engineering and Applied Sciences 12 3 111–124.
IEEE A. Özgür, K. Aydın, and İ. Keles, “A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc”, IJEAS, vol. 12, no. 3, pp. 111–124, 2020, doi: 10.24107/ijeas.809300.
ISNAD Özgür, Ayşegül et al. “A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc”. International Journal of Engineering and Applied Sciences 12/3 (December 2020), 111-124. https://doi.org/10.24107/ijeas.809300.
JAMA Özgür A, Aydın K, Keles İ. A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc. IJEAS. 2020;12:111–124.
MLA Özgür, Ayşegül et al. “A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc”. International Journal of Engineering and Applied Sciences, vol. 12, no. 3, 2020, pp. 111-24, doi:10.24107/ijeas.809300.
Vancouver Özgür A, Aydın K, Keles İ. A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc. IJEAS. 2020;12(3):111-24.

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