A Chebyshev-Ritz approach for static analysis of functionally graded triply periodic minimal surface plates
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https://doi.org/10.15625/0866-7136/23724Keywords:
Ritz solution, Chebyshev polynomials, third-order shear deformation theory, bending, functionally graded materials, triply periodic minimal surfaceAbstract
This paper investigates the bending behavior of functionally graded triply periodic minimal surface (FG-TPMS) plates under two types of boundary conditions, namely, SSSS and CCCC, employing the third-order shear deformation theory (TSDT). The characteristic equations are obtained using Hamilton’s principle and the Ritz–Chebyshev series approximation for the field variables. Numerical examples for the static analysis of FG-TPMS plates are presented to verify the reliability and accuracy of the proposed method. The influences of three TPMS architectures, including I-graph and wrapped package-graph (IWP), Primitive (P), and Gyroid (G), on the plate response, are investigated.
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