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## Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates

#### Munise Didem Demirbaş [1] , Mustafa Kemal APALAK [2]

In this study, thermal residual stress analysis of functionally graded circular plates (FGCP) carried out. Finite difference equations are used in solving Navier's equations of elasticity and Fourier's heat conduction equation. The grading along the plate was made along the surface of plate and it was assumed that the material properties changed according to the Mori-Tanaka approach. Grading along the plate was made in both radial and tangential directions.  In this study, the effect of the coordinate derivatives of material properties was taken into consideration in both Fourier's heat conduction equation and Navier's equations of elasticity, unlike the other studies. As a result, when the materials compositions of FGCP were changed from ceramic-rich to metal-rich compositions, the stress levels were not affected considerably. The strain levels increased significantly when the metal compound in the material composition of FGCP was increased. FGCP are emphasized that the change of material properties due to two-dimensional significantly affect distributions of thermal strain and stress. In this study, it was emphasized that changing the radial and tangential direction of the compositional gradient exponents of FGCP subjected to heat flux along the outer edge significantly influences the strain and stress distributions.

Functionally graded circular plates, Two-dimensional-FGM, Finite difference methods
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Birincil Dil en Mühendislik, Ortak Disiplinler Makaleler Yazar: Munise Didem DemirbaşKurum: Erciyes University, Engineering FacultyÜlke: Turkey Yazar: Mustafa Kemal APALAKKurum: Erciyes University, Engineering FacultyÜlke: Turkey Yayımlanma Tarihi : 29 Ocak 2017
 Bibtex @araştırma makalesi { umagd349654, journal = {International Journal of Engineering Research and Development}, issn = {}, eissn = {1308-5514}, address = {Kırıkkale Üniversitesi Mühendislik Fakültesi Dekanlığı Kampüs 71450 Yahşihan/KIRIKKALE}, publisher = {Kırıkkale Üniversitesi}, year = {2017}, volume = {10}, pages = {149 - 157}, doi = {10.29137/umagd.349654}, title = {Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates}, key = {cite}, author = {Demirbaş, Munise Didem and APALAK, Mustafa Kemal} } APA Demirbaş, M , APALAK, M . (2017). Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates. International Journal of Engineering Research and Development , 10 (1) , 149-157 . DOI: 10.29137/umagd.349654 MLA Demirbaş, M , APALAK, M . "Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates". International Journal of Engineering Research and Development 10 (2017 ): 149-157 Chicago Demirbaş, M , APALAK, M . "Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates". International Journal of Engineering Research and Development 10 (2017 ): 149-157 RIS TY - JOUR T1 - Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates AU - Munise Didem Demirbaş , Mustafa Kemal APALAK Y1 - 2017 PY - 2017 N1 - doi: 10.29137/umagd.349654 DO - 10.29137/umagd.349654 T2 - International Journal of Engineering Research and Development JF - Journal JO - JOR SP - 149 EP - 157 VL - 10 IS - 1 SN - -1308-5514 M3 - doi: 10.29137/umagd.349654 UR - https://doi.org/10.29137/umagd.349654 Y2 - 2017 ER - EndNote %0 Uluslararası Mühendislik Araştırma ve Geliştirme Dergisi Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates %A Munise Didem Demirbaş , Mustafa Kemal APALAK %T Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates %D 2017 %J International Journal of Engineering Research and Development %P -1308-5514 %V 10 %N 1 %R doi: 10.29137/umagd.349654 %U 10.29137/umagd.349654 ISNAD Demirbaş, Munise Didem , APALAK, Mustafa Kemal . "Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates". International Journal of Engineering Research and Development 10 / 1 (Ocak 2017): 149-157 . https://doi.org/10.29137/umagd.349654 AMA Demirbaş M , APALAK M . Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates. IJERAD. 2017; 10(1): 149-157. Vancouver Demirbaş M , APALAK M . Numerical Solution of Thermal Residual Stress Analysis with Finite Difference Method of Functionally Graded Circular Plates. International Journal of Engineering Research and Development. 2017; 10(1): 157-149.