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The functionally graded materials (FGM) were developed originally to resist the high temperature of aircraft in the 1980s. With the development and improvement of the manufacturing technology, more and more FGM types have been used and studied in practical engineering applications. The present work focuses on the stability performance of the heated FGM arch subjected to the pressure field. The material properties distribute non-uniformly in the thickness direction of the FGM arch, which may show different buckling mechanisms from the conventional uniform materials. It is found the arch expands when the thermal field is introduced. The uniform pressure is applied to the arch radially inward, resulting in asymmetric or symmetric deformations of the arch. The pressure capacity is evaluated theoretically and expressed explicitly based on the minimum potential energy principle. To verify the above analytical solution, a simulated model is developed numerically. The numerical pressure capacity is compared successfully with the analytical one. In addition, the present theoretical and simulated results are further validated by other closed-form expressions. Finally, the effect of geometric and material parameters on the stability behavior of the FGM arch are investigated and discussed.

Publication Date

Spring 2021


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Analytical derivation and numerical validation of the functionally graded arches under pressure and thermal loadings



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