Home Thermo-mechanical analysis of a FGM plate subjected to thermal shock – A new numerical approach considering real time temperature dependent material properties
Article
Licensed
Unlicensed Requires Authentication

Thermo-mechanical analysis of a FGM plate subjected to thermal shock – A new numerical approach considering real time temperature dependent material properties

  • Mete Onur Kaman

    Mete Onur Kaman received his BSc and MSc degrees in the Department of Mechanical Engineering, Firat University, Elazig, Turkey in 1999 and 2000, respectively. He received his PhD. degree in the Department of Engineering Science, Middle East Technical University, Ankara, Turkey in 2006. He is currently Professor in the Department of Mechanical Engineering, Firat University, Elazig, Turkey. His research interests include facture mechanics, fiber reinforced composites, failure analysis.

     EMAIL logo     , Nevin Celik

    Nevin Celik is permanently living in Turkey and works as a Professor at Firat University and was previously a Postdoctoral Candidate at the University of Minnesota, USA. Her research interests include thermal and fluid mechanics. She has frequently done research using both experimental skills and numerical simulations; such as ANSYS-Thermal and ANSYS-CFX.

         and Resul Das

    Resul Das is a Professor in the Department of Software Engineering at Firat University. He graduated with BSc and MSc degrees from the Department of Computer Science at Fırat University in 1999 and 2002 respectively. Subsequently, he completed his Ph.D. degree in the Department of Electrical Electronics Engineering at the same university in 2008. He also worked between September 2017 and June 2018 as a Visiting Professor in the Department of Computing Science at the University of Alberta, Edmonton, Canada. He serves as Associate Editor for Journal of IEEE Access and the Turkish Journal Electrical Engineering and Computer Science. His current research areas include computer networks and security, software design and architecture and multi-sensor data fusion.
Published/Copyright: April 29, 2021
Become an author with De Gruyter Brill
Submit Manuscript Author Information
Materials Testing
From the journal Materials Testing Volume 63 Issue 4

Abstract

In present the study, sudden cooling, in other words thermal shock, is applied to a plate that is originally a functionally graded material (FGM). The flat plate is assumed to have an edge crack on it. Hence a numerical couple-field analysis is performed on the plate. The FGM is a combination of Ni and Al2O3. The thermal and mechanical properties of the FGM are assumed to depend on temperature variation. The mixing percentages of the Ni and Al2O3 throughout the plate are considered to vary (i) linearly, (ii) quadratically and (iii) in half-order. In order to solve the problem, a new subroutine depending on temperature is written using APDL (ANSYS Parametric Design Language) codes. Three values of the heat transfer coefficient are applied to the initially heated plate. As a result, the transient temperature variation and stress intensity factor are presented to show the thermo-mechanical relation of the plate. The material properties changing with temperature results in more reliable temperature values. Increasing the heat transfer coefficient results in better cooling and in a lesser amount of time to reach ambient air temperature.

Keywords: Functionally graded materials; Stress intensity factor; Thermal shock; Finite element method
Prof. Dr. Mete Onur Kaman Department of Mechanical Engineering Engineering Faculty Firat University 23119, Elazig, Turkey

About the authors

Prof. Dr. Mete Onur Kaman

Mete Onur Kaman received his BSc and MSc degrees in the Department of Mechanical Engineering, Firat University, Elazig, Turkey in 1999 and 2000, respectively. He received his PhD. degree in the Department of Engineering Science, Middle East Technical University, Ankara, Turkey in 2006. He is currently Professor in the Department of Mechanical Engineering, Firat University, Elazig, Turkey. His research interests include facture mechanics, fiber reinforced composites, failure analysis.

Nevin Celik

Nevin Celik is permanently living in Turkey and works as a Professor at Firat University and was previously a Postdoctoral Candidate at the University of Minnesota, USA. Her research interests include thermal and fluid mechanics. She has frequently done research using both experimental skills and numerical simulations; such as ANSYS-Thermal and ANSYS-CFX.

Resul Das

Resul Das is a Professor in the Department of Software Engineering at Firat University. He graduated with BSc and MSc degrees from the Department of Computer Science at Fırat University in 1999 and 2002 respectively. Subsequently, he completed his Ph.D. degree in the Department of Electrical Electronics Engineering at the same university in 2008. He also worked between September 2017 and June 2018 as a Visiting Professor in the Department of Computing Science at the University of Alberta, Edmonton, Canada. He serves as Associate Editor for Journal of IEEE Access and the Turkish Journal Electrical Engineering and Computer Science. His current research areas include computer networks and security, software design and architecture and multi-sensor data fusion.

References

1 Y. Tanigawa, N. Oka, T. Akai, R. Kawamura: One dimensional transient thermal stress problem for nonhomogeneous hollow circular cylinder and its optimization of material composition for thermal stress relaxation, JSME International Journal. Ser. A, Mechanics and Material Engineering 105 (1997), No. 2, pp. 117-127 DOI:10.1299/jsmea1993.40.2_11710.1299/jsmea1993.40.2_117Search in Google Scholar

2 H. Awaji, R. Sivakumar: Temperature and stress distributions in a hollow cylinder of functionally graded material: the case of temperature-independent material properties, Journal of the American Ceramic Society 84 (2001), No. 5, pp. 1059-1065 DOI:10.1111/j.1151-2916.2001.tb00790.x10.1111/j.1151-2916.2001.tb00790.xSearch in Google Scholar

3 J. Zhao, X. Ai, Y. Z. Li: Transient temperature fields in functionally graded materials with different shapes under convective boundary conditions, Heat and Mass Transfer 43 (2007), No. 12, pp. 1227-1232 DOI:10.1007/s00231-006-0135-510.1007/s00231-006-0135-5Search in Google Scholar

4 J. Zhao, X. Ai, J. Deng, Z. Wang: A model of the thermal shock resistance parameter for functionally gradient ceramics, Materials Science Engineering A 382 (2004), No. 1-2, pp. 23-29 DOI:10.1016/j.msea.2004.04.05410.1016/j.msea.2004.04.054Search in Google Scholar

5 R. Hassanzadeh, H. Pekel: Assessment of thermal performance of the functionally graded materials in annular fins, Journal of Engineering Thermophysics 25 (2016), No. 3, pp. 377-388 DOI:10.1134/S181023281603007310.1134/S1810232816030073Search in Google Scholar

6 Z. H. Jin: Asymptotic solution of temperature field in a strip of a functionally graded material, International Communications in Heat and Mass Transfer 29 (2002), No. 7, pp. 887-895 DOI:10.1016/S0735-1933(02)00409-810.1016/S0735-1933(02)00409-8Search in Google Scholar

7 M. Jabbari, S. Sohrabpour, M. R. Eslami: Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, International Journal of Pressure Vessels and Piping 79 (2002), No. 7, pp. 493-497 DOI:10.1016/S0308-0161(02)00043-110.1016/S0308-0161(02)00043-1Search in Google Scholar

8 J. Sladek, V. Sladek, C. H. Zhang: Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method, Computational Materials Science 28 (2003), No. 3-4, pp. 494-504 DOI:10.1016/j.commatsci.2003.08.00610.1016/j.commatsci.2003.08.006Search in Google Scholar

9 B. Chen, L. Tong: Sensivity analysis of heat conduction for functionally graded materials, Materials and Design 25 (2004), No .8, pp. 663-672 DOI:10.1016/j.matdes.2004.03.00710.1016/j.matdes.2004.03.007Search in Google Scholar

10 J. Q. Tarn, Y. M. Wang: End effects of heat conduction in circular cylinders of functionally graded materials and laminated composites, International Journal of Heat and Mass Transfer 47 (2004), No. 26, pp. 5741-5747 DOI:10.1016/j.ijheatmasstransfer.2004.08.00310.1016/j.ijheatmasstransfer.2004.08.003Search in Google Scholar

11 A. O. Olatunji-Ojo, S. K. S. Boetcher, T. R. Cundari: Thermal conduction analysis of layered functionally graded materials, Computational Materials Science 54 (2012), pp. 329-335 DOI:10.1016/j.commatsci.2011.10.00610.1016/j.commatsci.2011.10.006Search in Google Scholar

12 V. N. Burlayenko, H. Altenbach, T. Sadowski, S. D. Dimitrova, A. Bhaskar: Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements, Applied Mathematical Modelling 45 (2017), pp. 422-438 DOI:10.1016/j.apm.2017.01.00510.1016/j.apm.2017.01.005Search in Google Scholar

13 V. N. Burlayenko: Modelling thermal shock in functionally graded plates with finite element method, Advances in Materials Science and Engineering (2016), pp. 1-12 DOI:10.1155/2016/751463810.1155/2016/7514638Search in Google Scholar

14 V. N. Burlayenko, H. Altenbach, T. Sadowski, S. D. Dimitrova: Computational simulations of thermal shock cracking by the virtual crack closure technique in a functionally graded plate, Computational Materials Science 116 (2016), pp. 11-21 DOI:10.1016/j.commatsci.2015.08.03810.1016/j.commatsci.2015.08.038Search in Google Scholar

15 J. Hein, J. Storm, M. Kuna: Numerical thermal shock analysis of functionally graded and layered materials, International Journal of Thermal Sciences 60( 2012), pp. 41-51 DOI:10.1016/j.ijthermalsci.2012.05.00510.1016/j.ijthermalsci.2012.05.005Search in Google Scholar

16 P. Gu, M. Dao, R. J. Asaro: A simplified method for calculating the crack tip field of functionally graded materials using the domain integral, Journal of Applied Mechanics 66 (1999), No. 1, pp. 101-108 DOI:10.1115/1.278913510.1115/1.2789135Search in Google Scholar

17 C. E. Rousseau, H. V. Tippur: Compositionally graded materials with cracks normal to the elastic gradient, Acta Materialia 48 (2000), No. 16, pp. 4021-4033 DOI:10.1016/S1359-6454(00)00202-010.1016/S1359-6454(00)00202-0Search in Google Scholar

18 I. V. Ivanov, T. Sadowski, D. Pietras: Crack propagation in functionally graded strip under thermal shock, The European Physical Journal Special Topics 222 (2013), No. 7, pp. 1587-1595 DOI:10.1140/epjst/e2013-01947-310.1140/epjst/e2013-01947-3Search in Google Scholar

19 T. Sadowski, D. Pietras, I. Ivanov: Estimation of thermal intensity factor in a strip with various property gradations subjected to thermal shock, Key Engineering Materials 601 (2014), pp. 71-75 DOI:10.4028/www.scientific.net/KEM.601.7110.4028/www.scientific.net/KEM.601.71Search in Google Scholar

20 B. L. Wang, Y. W. Mai, X. H. Zhang : Thermal shock resistance of functionally graded materials, Acta Materialia 52 (2004), No. 17, pp. 4961-4972 DOI:10.1016/j.actamat.2004.06.00810.1016/j.actamat.2004.06.008Search in Google Scholar

21 B. L. Wang, Z. H. Tian: Application of finite element–finite difference method to the determination of transient temperature field in functionally graded materials, Finite Elements in Analysis and Design 41(2005), No. 4, pp. 335-349 DOI:10.1016/j.finel.2004.07.00110.1016/j.finel.2004.07.001Search in Google Scholar

22 Special Metals, Tech. Center: High Performance Alloys Literature http://www.specialmetals.com/assets/smc/documents/alloys/nickel-duranickel/nickel-200-201.pdf (Viewed 08 August 2019)Search in Google Scholar

23 Isabellenhütte Heusler GmbH & Co KG:Super Pure Ni, https://isabellenhuetteusa.com/sites/default/files/sites/default/files/pdfs/SUPER_PURE_NICKEL.pdf,(Viewed 08 August 2019)Search in Google Scholar

24 P. J. Karditsas, M. J. Baptiste: Thermal and Structural Properties of Fusion Related Materials, United Kingdom Atomic Energy Authority, Government Division, London, UK (1995)Search in Google Scholar

25 ANSYS, Inc., Southpointe, 275 Technology Drive, Canonsburg, PA, http://www.ansys.comSearch in Google Scholar

26 M. O. Kaman: Effect of fiber orientation on fracture toughness of laminated composite plates [0o/θ o]s, Engineering Fracture Mechanics 78 (2011), pp. 2521-2534 DOI:10.1016/j.engfracmech.2011.06.00510.1016/j.engfracmech.2011.06.005Search in Google Scholar

27 J. H. Kim, G. H. Paulino: Finite element evaluation of mixed mode stress intensity factors in functionally graded materials, International Journal for Numerical Methods in Engineering 53 (2002), No. 8, pp. 1903-1935 DOI:10.1002/nme.36410.1002/nme.364Search in Google Scholar
Published Online: 2021-04-29

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Mechanical testing
  3. Application of 3D digital image correlation for the measurement of the tensile mechanical properties of high-strength steel
  4. Mechanical testing/production-oriented testing/materialography
  5. Comparative study of thermoplastic liner materials with regard to mechanical and permeation barrier properties before and after cyclic thermal aging
  6. Oxidation Behavior at 1173 K of Modified P/M Stainless Steel 316 L by Addition of Cr, Ni, and Cr with Ni
  7. Mechanical testing/Analysis of physical properties
  8. Effect of graphene nanoplatelet filling on mechanical properties of natural fiber reinforced polymer composites
  9. Fatigue testing/Numerical simulations
  10. Fatigue life evaluation of an electrically driven shuttle frame using finite element analysis
  11. Component-oriented testing and simulation
  12. Conceptual comparison of the ecogeography-based algorithm, equilibrium algorithm, marine predators algorithm and slime mold algorithm for optimal product design
  13. Fracture mechanics testing/numerical simulations
  14. Thermo-mechanical analysis of a FGM plate subjected to thermal shock – A new numerical approach considering real time temperature dependent material properties
  15. Mechanical testing/materialography/chemical resistance testing
  16. Mechanical properties of Al-Cu/B4C and Al-Mg/B4C metal matrix composites
  17. Component-oriented testing and simulation
  18. Comparision of the political optimization algorithm, the Archimedes optimization algorithm and the Levy flight algorithm for design optimization in industry
  19. Materialography
  20. Surface modification of a magnesium alloy by electrical discharge coating with a powder metallurgy electrode
  21. Materialography
  22. Characterization of mechanically alloyed Fe based and MoNiAl+Al2O3 reinforced composites
  23. Mechanical testing/Chemical resistance testing
  24. Optimization of flexural and impact properties of r-LDPE-DPWF composite for printer parts production
  25. Component-oriented testing and simulation
  26. Evaluation methods for estimation of Weibull parameters used in Monte Carlo simulations for safety analysis of pressure vessels
  27. Materials testing for welding and additive manufacturing applications
  28. Comparison of ANN and RSM modeling approaches for WEDM process optimization
https://doi.org/10.1515/mt-2020-0050
Keywords for this article
Functionally graded materials; Stress intensity factor; Thermal shock; Finite element method

Articles in the same Issue

  1. Frontmatter
  2. Mechanical testing
  3. Application of 3D digital image correlation for the measurement of the tensile mechanical properties of high-strength steel
  4. Mechanical testing/production-oriented testing/materialography
  5. Comparative study of thermoplastic liner materials with regard to mechanical and permeation barrier properties before and after cyclic thermal aging
  6. Oxidation Behavior at 1173 K of Modified P/M Stainless Steel 316 L by Addition of Cr, Ni, and Cr with Ni
  7. Mechanical testing/Analysis of physical properties
  8. Effect of graphene nanoplatelet filling on mechanical properties of natural fiber reinforced polymer composites
  9. Fatigue testing/Numerical simulations
  10. Fatigue life evaluation of an electrically driven shuttle frame using finite element analysis
  11. Component-oriented testing and simulation
  12. Conceptual comparison of the ecogeography-based algorithm, equilibrium algorithm, marine predators algorithm and slime mold algorithm for optimal product design
  13. Fracture mechanics testing/numerical simulations
  14. Thermo-mechanical analysis of a FGM plate subjected to thermal shock – A new numerical approach considering real time temperature dependent material properties
  15. Mechanical testing/materialography/chemical resistance testing
  16. Mechanical properties of Al-Cu/B4C and Al-Mg/B4C metal matrix composites
  17. Component-oriented testing and simulation
  18. Comparision of the political optimization algorithm, the Archimedes optimization algorithm and the Levy flight algorithm for design optimization in industry
  19. Materialography
  20. Surface modification of a magnesium alloy by electrical discharge coating with a powder metallurgy electrode
  21. Materialography
  22. Characterization of mechanically alloyed Fe based and MoNiAl+Al2O3 reinforced composites
  23. Mechanical testing/Chemical resistance testing
  24. Optimization of flexural and impact properties of r-LDPE-DPWF composite for printer parts production
  25. Component-oriented testing and simulation
  26. Evaluation methods for estimation of Weibull parameters used in Monte Carlo simulations for safety analysis of pressure vessels
  27. Materials testing for welding and additive manufacturing applications
  28. Comparison of ANN and RSM modeling approaches for WEDM process optimization
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 12.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/mt-2020-0050/html
Scroll to top button