Large Deflection Geometrically Nonlinear Bending of Porous Nanocomposite Cylindrical Panels on Elastic Foundation

Abstract

Large deflection nonlinear bending of functionally graded (FG) porous cylindrical panels reinforced with graphene platelets (GPLs) on a Pasternak-type elastic foundation is examined by developing a reliable and effective 2D meshfree-based nonlinear numerical method. The large displacement field is express by the first-order shear deformation theory (FSDT) and the von Kármán nonlinearity, and approximated by 2D natural element method (NEM) in conjunction with the stabilized MITC3+ shell concept and the shell surface–rectangular grid geometry transformation. The nonlinear simultaneous equations are solved by a load incremental Newton–Raphson scheme. The developed nonlinear numerical method is justified from by comparing with the reference solutions, and the load–deflection and bending moment of FG-GPLRC porous cylindrical panels on elastic foundation are scrutinizingly examined. Four different symmetric GPL distribution patters (except for FG-Λ) and three different symmetric porosity distributions are considered and their combined effects on the nonlinear bending behavior are investigated, as well as the effects of foundation stiffness and GPL amount. Also, the results are compared with those of FG CNT-reinforced porous cylindrical panels.

Nonlinear Vibration of Cracked Porous FG-GPL RC Cylindrical Panels Using a Phase-Field Crack Model

“…It is observed that the frequency ratio becomes uniformly smaller with the increase in , it uniformly increases in proportion to 0 e . However, the extent of decrease becomes smaller as the porosity parameter 0 because the increase in porosity decreases the structural stiffness[54]. But, the frequency ratio…”

“…However, the extent of decrease becomes smaller as the porosity parameter e 0 increases. Both ω L and ω NL decrease proportionally to e 0 because the increase in porosity decreases the structural stiffness [54]. But, the frequency ratio ω NL /ω L may increase with increasing e 0 because the denominator ω L decreases in proportion to e 0 .…”