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Nonlinear Stability Characteristics of Porous Graded Composite Microplates Including Various Microstructural-Dependent Strain Gradient Tensors

Jun-Jie Wang, Biao Ma, Jing Gao, Haitao Liu, Babak Safaei, Saeid Sahmani

2022International Journal of Applied Mechanics26 citationsDOI

Abstract

In this study, the nonlinear buckling and postbuckling characteristics of composite microplates made of a porous functionally graded (PFG) material are scrutinized in the presence of different size-dependent strain gradient tensors as microscale. Accordingly, for the first time, the effect of each microstructural tensor is analyzed separately on the nonlinear stability of PFG microplates with and without a central cutout. In order to fulfill this goal, the isogeometric computation approach is engaged to integrate the finite element approach into the nonuniform B-spline-based computer aided design tool. Accordingly, the geometry of the microplate with a central cutout is modeled smoothly to verify [Formula: see text] continuity based upon a refined higher-order plate formulations. In this regard, the microstructural-dependent load-deflection paths associated with the nonlinear stability of axially compressed microplates are traced.

Topics & Concepts

Nonlinear systemMicroscale chemistryMaterials scienceComposite numberFinite element methodAxial symmetryComputationBucklingComposite materialAsymptotic homogenizationStability (learning theory)PorosityPorous mediumMathematical analysisStructural engineeringGeometryMathematicsComputer sciencePhysicsEngineeringAlgorithmMathematics educationMachine learningQuantum mechanicsNonlocal and gradient elasticity in micro/nano structuresComposite Structure Analysis and OptimizationNumerical methods in engineering