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Geometrically nonlinear large-deflection analysis of heated functionally graded composite panels with single and multiple perforations

Shyam Kumar Chaudhary, Vishesh Ranjan Kar, K.K. Shukla

2022Mechanics of Advanced Materials and Structures18 citationsDOI

Abstract

In this article, the nonlinear flexural analysis of perforated functionally graded composite panel is performed under heat conduction and uniform/sinusoidal pressure. Here, functionally graded composite panel is modeled with single (1 × 1) and multiple (2 × 2, 3 × 3) perforations having identical surface area. A geometrically nonlinear mathematical model is adopted using the Green-Lagrange strain field via the higher-order shear-deformation mid-plane kinematics. The overall temperature-dependent elastic and thermal properties of the functionally graded (metal/ceramic) material are computed using the power-law function via Voigt’s homogenization scheme. The equilibrium equations are derived through the minimum total potential energy principle via isoparametric finite element approximations and solved further by adopting Picard successive technique. The convergence and validation of the model are carried out by performing mesh refinement and comparison tests, respectively. In adding, new numerical results for single/multiple perforated FGM panels are illustrated at various sets of parametric combinations, and compared in detail.

Topics & Concepts

Homogenization (climate)Nonlinear systemMaterial propertiesFinite element methodMathematicsDeflection (physics)Parametric statisticsMaterials scienceMathematical analysisStructural engineeringComposite materialEngineeringClassical mechanicsBiologyEcologyQuantum mechanicsPhysicsBiodiversityStatisticsComposite Structure Analysis and OptimizationNumerical methods in engineeringNonlocal and gradient elasticity in micro/nano structures