Non-linear bending and stress analysis of a transversely loaded isotropic plates material using 3-D plate theory

This paper presents the bending stress analysis of anisotropic plate material under transverse loading using a three-dimensional (3-D) theory. The static elastic theory was used to formulate total energy expression thereafter, transformed into compatibility equation through general variation get slope and deflection relationship. solution equations equilibrium gave rise exact polynomial function while coefficient shear deformation gotten from governing direct method. These solutions were obtain characteristic for analyzing displacement stresses rectangular plate. formula problem that is clamped at first-two edge other edges simply supported (CCSS). result decrease as span-thickness ratio increases. More so, aspect effect isotropic plates investigated discussed after comparative between present work previous studies. shows study differs refined (RPT) assumed by 5.5% whereas 2-D RPT 5.3%. efficacy 3-D flexural characteristics CCSS thick