A meshless local natural neighbour interpolation method to modeling of functionally graded viscoelastic materials

Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method

“…Note that the nondimensional frequency parameterω employed here for a functionally graded plate is defined as Eq. (42). Again, the results from the regular and the irregular nodal arrangements almost coincide with each other.…”

“…Therefore the MLNNI method combines the advantage of easy imposition of essential boundary conditions of the NNI with some prominent features of the meshless local Petrov-Galerkin (MLPG) method. These salient advantages of the MLNNI method have been further demonstrated by some recent developments [41][42][43][44][45]. The first-order shear deformation theory is used to take into account the transverse shear strain and rotary inertia.…”

A scaled boundary finite element formulation with bubble functions for elasto-static analyses of functionally graded materials

“…The meshless methods have also been formulated for application in FGMs. Applications reported in the literature include anisotropic FGMS (Sladek et al, 2005), piezoelectric FGMS (Sladek et al, 2007), fracture (Sladek et al, 2008a,b), thermo-mechanical analysis of FGMs (Wang and Qin, 2008), magneto-elastic FGMs (Sladek et al, 2010) and viscoelastic FGMs (Chen et al, 2015).…”

Applications of the symplectic method in quasi-static analysis for viscoelastic functionally graded materials

“…The analysis functionally graded material (FGM) is a thematic of major interest in literature both from the theoretical and computational point of view, due to the interesting potentialities exhibited in engineering applications. If properly designed, FGMs can offer various advantages such as reduction of thermal stresses, minimization of stress concentration or intensity factors and attenuation of stress waves (Chen et al , 2015; Ehab, 2012). So far, extensive research has been carried out to efficiently and accurately simulate FGMs.…”