Post-buckling analysis of viscoelastic plates with fractional derivative models

BEM for Dynamic Analysis of Plates

“…Recently, many researchers have shown that differential viscoelastic models with fractional derivatives are in better agreement with the experimental results than the integer derivative models [37][38][39]. The BEM for linear and nonlinear viscoelastic plate problems has been employed by few researchers using the correspondence principle [49] or by direct integration of the equations of motion using the AEM [18,50]. Such restrictions have been derived by Bagley and Torvic [40].…”

Thermoviscoelastic dynamic response for a composite material thin narrow strip

“…Due to nonlinear kinematic relations based on the von Kármán assumption, the post-buckling response of thin plates made of linear viscoelastic materials was investigated by Katsikadelis and Babouskos [20]. The overall behavior of the unidirectional composite was obtained from a three-dimensional micromechanical model, in any combination of normal and shear loading conditions, based on the assumptions of Simplified Unit Cell Method.…”

A combination of EFG-SBM and a temporally-piecewise adaptive algorithm to solve viscoelastic problems

“…However there seems no any direct report relevant to its exploration on the viscoelastic problem that relates to many engineering issues [10][11][12][13][14][15][16][17]. As matter of a fact, there is a pool containing a number of spatially discretized algorithms employed for the viscoelastic analysis, such as Finite Element Method (FEM) [18][19][20][21][22][23], Boundary Element Method (BEM) [24][25][26] and Element-Free Galerkin Method (EFGM) [27][28][29], but not yet popularly used with Scaled Boundary Method. This paper attempts to develop a SBM based numerical algorithm that may be particularly beneficial to solve viscoelastic problems with unbounded domains or singularity.…”