A theoretical analysis of FGM doubly curved shallow thin shell based on physical neutral surface

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 parameter 0 z which is the distance between the middle surface and physical neutral surface, was considered at a constant level in all of the previous works [41][42][43][44][45][46][47][48][49][50]. However, Eq.…”

“…Owing to the merits of the concept of physical neutral surface, the interest in this concept is increasing [46][47][48][49][50]. According to latest review of open literature geometrically non-linear behaviors of multi-dimensional FGMs have not been studied based on the physical neutral surface.…”

Vibration and post-buckling of a functionally graded beam subjected to non-conservative forces

“…The authors [16] of this paper carried out free vibration of FGM Euler-Bernoulli beams with post-buckling configuration subjected to axial force and presented characteristics curves of the first three lower frequencies versus the load parameters. Zhang and Zhou [17] defined a physical neutral surface that is different from the geometric mid-surface of a plate and studied the bending, vibration and nonlinear bending behaviors of FGM doubly curved shallow shin shell. Ma and Lee [18] derived governing equations for both the static behavior and dynamic response of FGM beams on the physical neutral surface.…”