Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory

Deniz Işık; Ronaz Sasanian; Mehmet Dördüncü

EN

Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory

Abstract

Functionally Graded Materials (FGMs) are heterogeneous structures whose mechanical and thermal properties vary continuously in one or more directions. Due to the complex nature of damage propagation within FGMs, conventional local theories such as Classical Continuum Mechanics (CCM) are inadequate for accurately predicting failure behavior, especially in the presence of cracks or discontinuities. This study presents a heat conduction analysis of FGM plates using the Peridynamic (PD) theory, which reformulates the equations of motion using volumetric integral expressions instead of spatial derivatives, making it naturally suited for modeling crack initiation and propagation. The Mori-Tanaka homogenization scheme is used to model the material distribution within FGM plates. Numerical results for temperature distributions in cracked and intact FGM plates are obtained and validated against reference solutions from the literature, demonstrating the accuracy and effectiveness of the proposed PD-based approach.

Keywords

Functionally Graded Materials, Peridynamic Theory, Heat Conduction, Crack

Supporting Institution

The Scientific and Technological Research Council of Turkey (TUBITAK)

Project Number

TUBITAK-219M207

Ethical Statement

This article does not require ethics committee approval and has no conflicts of interest with any individual or institution.

Thanks

This study has been supported by The Scientific and Technological Research Council of Turkey (TUBITAK) with the project number: 219M207. This support is gratefully acknowledged.

References

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Details

Primary Language

English

Subjects

Solid Mechanics, Numerical Methods in Mechanical Engineering

Journal Section

Research Article

Authors

Deniz Işık
Türkiye

Ronaz Sasanian
Türkiye

Mehmet Dördüncü ^*
0000-0003-4028-4581
Türkiye

Publication Date

May 25, 2026

Submission Date

April 20, 2026

Acceptance Date

May 8, 2026

Published in Issue

Year 2026 Volume: 2 Number: 1

IZ

https://izlik.org/JA36KZ95BP

APA

Işık, D., Sasanian, R., & Dördüncü, M. (2026). Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory. Journal of Dynamics, Energy and Utility, 2(1), 25-34. https://izlik.org/JA36KZ95BP

AMA

1.Işık D, Sasanian R, Dördüncü M. Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory. JDEU. 2026;2(1):25-34. https://izlik.org/JA36KZ95BP

Chicago

Işık, Deniz, Ronaz Sasanian, and Mehmet Dördüncü. 2026. “Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory”. Journal of Dynamics, Energy and Utility 2 (1): 25-34. https://izlik.org/JA36KZ95BP.

EndNote

Işık D, Sasanian R, Dördüncü M (May 1, 2026) Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory. Journal of Dynamics, Energy and Utility 2 1 25–34.

IEEE

[1]D. Işık, R. Sasanian, and M. Dördüncü, “Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory”, JDEU, vol. 2, no. 1, pp. 25–34, May 2026, [Online]. Available: https://izlik.org/JA36KZ95BP

ISNAD

Işık, Deniz - Sasanian, Ronaz - Dördüncü, Mehmet. “Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory”. Journal of Dynamics, Energy and Utility 2/1 (May 1, 2026): 25-34. https://izlik.org/JA36KZ95BP.

JAMA

1.Işık D, Sasanian R, Dördüncü M. Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory. JDEU. 2026;2:25–34.

MLA

Işık, Deniz, et al. “Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory”. Journal of Dynamics, Energy and Utility, vol. 2, no. 1, May 2026, pp. 25-34, https://izlik.org/JA36KZ95BP.

Vancouver

1.Deniz Işık, Ronaz Sasanian, Mehmet Dördüncü. Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory. JDEU [Internet]. 2026 May 1;2(1):25-34. Available from: https://izlik.org/JA36KZ95BP

Abstract

Heat Conduction Analysis of Functionally Graded Materials Using Peridynamic Theory

Abstract

Keywords

Supporting Institution

Project Number

Ethical Statement

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

Cite