this paper presents a clear monograph on the optimization of thermal instability resistance of the fg (functionally graded) flat structures. for this aim, two fg flat structures, namely an fg beam and an fg circular plate, are considered. these structures are assumed to obey the first-order shear deformation theory, three-parameters power-law distribution of the constituents, and clamped bounda...

In the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (S-FSDT) has been employed and the governing differential equations have been obtained using the Hamilton’s principle. An analytic...

This study analyzes the free vibration, forced vibration, resonance, and stress wave propagation of orthotropic sandwich plates made of functionally graded materials (FGMs). Dynamic analyses are conducted using a mesh-free method based on first-order shear deformation theory and the shape functions constructed using moving least squares approximation. The sandwich plates are rested on a Pastern...

This study focuses on the microarchitecture-dependent nonlinear bending behavior of cellular plates with equitriangularly prismatic microarchitectures by adopting a dimensionally and constitutively reduced strain gradient plate model. The energy formulation is based dimension reduction first-order shear deformation theory along von Kármán’s relations anisotropic theory. classical higher-order c...

Abstract Multi-layered composite shells are extensively used in many industrial fields since they have superior performance applications. As load-carrying components, buckling failure is one of the most common modes multi-layered shells. Hence, layup design based on optimal factors widely concerned, where lamination parameters commonly representation stiffness. However, formulations laminate st...

The present study introduces a generalized 2-unknown’s higher order shear deformation theory (HSDT) for isotropic and orthotropic plates. The well-known Shimpi’s two-unknown's HSDT is reproduced as a special case. Reddy’s shear strain shape function (SSSF) is also adapted to the present generalized theory. The results show that both Shimpi and the adapted Reddy’ HSDT are essentially the same, i...