Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method

摘要: The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic orthotropic micro-plate based surface stress, modified couple stress theory (MCST), nonlocal elasticity theories using differential quadrature method (DQM) is presented. Main advantages MCST over classical (CT) are inclusion asymmetric tensor consideration only one material length scale parameter. Based von Karman assumption, governing equations equilibrium for micro-classical plate considering midplane displacements derived minimum principle potential energy. Using DQM, critical loads various boundary conditions obtained. Accuracy obtained results validated by comparing solutions with those reported in literature. A parametric study conducted to show effects aspect ratio, side-to-thickness Eringen’s parameter, Young’s modulus layer, residual polymer matrix coefficients, dimensionless uniaxial, biaxial, loads. indicate that strongly sensitive effects, while layer load negligible. Also, size dependent causes increase stiffness micro-plate. increases G12/E2 vice versa E1/E2. It shown ratio decreases as amplitude. Because most lightweight micro-composite materials high strength/weight stiffness/weight ratios, it anticipated present work useful experimental characterization mechanical properties plates aircraft industry other engineering applications.