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Thermal Buckling Analysis of Cracked Functionally Graded Plates

Thom Van Do, Duc Hong Doan, Nguyen Chi Tho, Nguyen Dình Duc

2022International Journal of Structural Stability and Dynamics47 citationsDOI

Abstract

Because structures made of FG material often operate in high temperature environments, it is critical to understand the mechanical behavior of these structures while taking temperature into consideration. As a result, the phase-field model is employed in this work to investigate the thermal buckling of fractured functionally graded material (FGM) plates. Additionally, this study demonstrates the difference between the plate’s static stability response to thermal load in the case of temperature-dependent (TD) material mechanical properties and in the case of temperature-independent (TID) material mechanical properties, illustrating that the calculation for these two cases will appear to be highly skewed. This provides a scientifically valid foundation for scientists to adopt a more realistic computation model. The equations are based on the third-order shear deformation plate theory (TSDT) of Reddy. This work proves that this discrepancy strongly depends on the material, boundary condition, crack length as well as thickness of the crack plate, it has never been explored in published work, the results give very useful and needful information for scientists to choose the best accuracy case to calculate and apply in practice.

Topics & Concepts

BucklingBoundary value problemMaterial propertiesMaterials scienceStructural engineeringWork (physics)ThermalComputationPlate theoryShear (geology)Field (mathematics)Composite materialComputer scienceMathematicsMathematical analysisEngineeringMechanical engineeringPhysicsThermodynamicsPure mathematicsAlgorithmNumerical methods in engineeringComposite Structure Analysis and OptimizationVibration and Dynamic Analysis
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