A higher-order hyperbolic shear deformation plate model for analysis of functionally graded materials
Source abstract
Abstract
This paper presents a new higher-order hyperbolic shear deformation theory for analysis of functionally graded plates. In this theory, the transverse shear stresses account for a hyperbolic distribution and satisfy the free-traction boundary conditions on the top and bottom surfaces of the plate. By making a further assumption, the present theory contains only four unknowns and its governing equations is therefore reduced. Equations of motion are derived from Hamilton’s principle and Navier-type analytical solutions for simply-supported plates are compared with the existing solutions to verify the validity of the developed theory. The material properties are continuously varied through the plate thickness by the power-law and exponential form. Numerical results are obtained to investigate the effects of the power-law index and side-to-thickness ratio on the deflections, stresses, critical buckling load and natural frequencies.
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Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Structural Analysis and Optimization
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References (52)
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