Thermal Stress in Functionally Graded Plates with a Gradation of the Coefficient of Thermal Expansion Only

T. Baytak, O. Bulut*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


Background: Experimental thermal stress analyzes of functionally graded materials should be performed accurately to validate existing numerical and analytical analyzes. The variation of stress concentration at the tip of a surface cavity should be investigated for long-term structural design. Objective: In this study, an experimental and numerical model is developed to understand the thermal stress distribution in a functionally graded plate where only the coefficient of thermal expansion is graded. Methods: Three-dimensional photoelasticity was used for experimental work with mechanical modelling of thermal expansion. An analytical solution for the thermal stress in a free plate was derived to validate the experimental and numerical analysis using finite element software. Results: The stress concentration at the tip of the cavity changes with variation in tip radius and tip-to-interface distance, as shown experimentally. The stress at the tip of the cavity decreased when a mid-layer was added to a two-layered composite plate. An analysis of a particular substrate coated with a material whose coefficient of thermal expansion is graded with respect to two different functions shows that the optimum gradation should lie between the parabolic and linear functions. Conclusions: The developed experimental and numerical models are very practical for the objective of thermal stress analysis in functionally graded plates. The stress concentration is reduced by coating the plate with a functionally graded material.

Original languageEnglish
Pages (from-to)655-666
Number of pages12
JournalExperimental Mechanics
Issue number4
Publication statusPublished - Apr 2022

Bibliographical note

Publisher Copyright:
© 2022, Society for Experimental Mechanics.


The authors would like to thank the Management of Scientific Research Projects of Istanbul Technical University (ITU) (grant No. 41800) and the Experimental Mechanics Laboratory ( ).

FundersFunder number
Experimental Mechanics Laboratory
Istanbul Teknik Üniversitesi41800


    • Finite element analysis
    • Functionally graded plates
    • Laminated composites
    • Photoelasticity
    • Stress concentration
    • Thermal stress


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