Modeling and analysis of FGM rectangular plates based on physical neutral surface and high order shear deformation theory

Nonlinear bending analysis of FGM circular plates based on physical neutral surface and higher-order shear deformation theory

“…The present paper extends the previous works [40][41][42][43] to the case of nonlinear bending analysis for FGM circular plates. Three cases of temperature fields and temperature dependent material properties are taken into consideration.…”

“…According to physical neutral surface higher-order shear deformation theory [40][41][42][43], it can be assumed that the axisymmetric displacement fields are ( )…”

“…As pointed out by Abrate [39], the stretching-bending coupling can easily be eliminated in the governing equations based on the classical plate theory and/or the first-order shear deformation theory by an appropriate choice of the reference surface, and it is difficult to achieve based on a higher-order shear deformation theory, while models of beam and rectangular plate [40][41][42][43] are successfully put forward by physical neutral surface and higher-order shear deformation theory. The present paper extends the previous works [40][41][42][43] to the case of nonlinear bending analysis for FGM circular plates.…”

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

“…The different reference surface was later named by Zhang and Zhou [41] as physical neutral surface. Zhang has recently extended the concept of physical neutral surface for the Reddy's third-order shear deformation theory (TSDT) and investigated the geometrically non-linear behavior of FG plates [42] and FG beams [43] in thermal environments. He showed that the position of physical neutral surface will be M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT 4 changed with the temperature, if the Young's modulus is considered to be temperature-dependent.…”

Nonlinear dynamic analysis and vibration of shear deformable piezoelectric FGM double curved shallow shells under damping-thermo-electro-mechanical loads

“…Khabbaz et al [5] used the energy concept along with the first and third order shear deformation theories to predict the large deflection and through the thickness stress of FGM plates. Zhang [6] successfully constructed the model of the FGM plate by physical neutral surface and high order shear deformation theory. Fantuzzi et al [7,8] provided a new technique for solving the static analysis of arbitrarily shaped composite plates by using strong formulation finite element method.…”