article · Mechanics of Advanced Materials and Structures
This study examines the postbuckling behaviour of functionally graded nanoplates containing internal porosities and geometrical imperfections. Using a general higher-order plate theory based on five field variables alongside nonlocal elasticity, the framework accounts for shear deformation effects without requiring shear correction factors. The material model integrates porosity volume fractions into a power-law scheme, analysing both even and uneven porosity distributions across the structure. Through the analytical solution of nonlinear governing equations, the postbuckling load-deflection relationships are calculated. The findings demonstrate that porosity coefficients, porosity distributions, geometrical imperfections, nanoscale size effects, overall geometry, and material composition fundamentally shape the postbuckling response of these nanoplates under mechanical loading.
Engineered nanomaterials often contain unintended microscopic voids and surface imperfections that alter their structural strength. Developing accurate mathematical models helps structural engineers and material scientists predict how tiny components bend and sustain loads under stress. By capturing small-scale physical effects and material variations, these calculations support the reliable mechanical design of advanced composite structures at the nanoscale.
The abstract does not indicate an application pathway, representing early-stage mathematical and mechanical modelling with no direct commercial testing or near-term product development mentioned.
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This paper deals with postbuckling of geometrically imperfect functionally graded (FG) nanoplates with porosities based on general higher-order plate model and nonlocal elasticity. Porosity distributions are considered as even and uneven models. Porosity volume fraction is incorporated to the power-law modeling of FG materials. Employing a general higher-order plate theory with five field variables, it is possible to satisfy shear deformation effects without adding correction factors. The nonlinear governing equations are analytically solved to obtain the postbuckling load-deflection relation of the nanoplate. Obtained results indicate the significance of porosity coefficient, porosity distribution, geometrical imperfection, nonlocality, material composition and geometrical parameters on postbuckling characteristics of size-dependent nanoplates.
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DOI: 10.1080/15376494.2018.1430280
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