Abstract:
A model of flexible oblique Kirchhoff plates made of porous functional-gradient materials is derived. Nonlinearity is accounted for by the theory of T. von Karman. The nonlinear partial derivative equations are solved using the method of variational iterations. The validity of the results obtained by the method of variational iterations is ensured by comparative analysis with known solutions. The stress-strain state (STS) of oblique-angled plates is investigated. The influence of plate inclination angle, dimensional effects, porosity and functional gradient of the material is analyzed. The stress concentration near voids can be neglected due to their small size, and a smooth, continuous stress variation along the plate thickness is assumed. It is revealed that the increase in the volume fraction of ceramics in functionally graded materials allows to significantly increase the bearing capacity of oblique plates. The oblique plates with increased pore concentration from the upper and lower surfaces to the center have the highest bearing capacity compared to the uniform porosity distribution and reduced concentration. The magnitude of the inclination angle and size-dependent parameter significantly affects the bearing capacity of porous functional-gradient oblique-angled plates.
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