Stability of Three-Layered Annular Plate with Composite Facings

On Thermoelasticity in FGL – Tolerance Averaging Technique

“…The known temperature as external load was assumed on the edges of the laminate according to Eqs (22):…”

“…Moreover in the analysis of various issues related to the composites and layered structures the finite element method [22] or layerwise theory and a differential quadrature finite element method [23] can be used.…”

Tolerance Modelling of Vibrations and Stability for Periodic Slender Visco-Elastic Beams on a Foundation with Damping. Revisiting

“…This theory was used to consider equilibrium equations of microperiodic beams by Kolpakov [ 3 , 4 , 5 ]. Various other modelling methods were also proposed to investigate different composite media; e.g., Matysiak and Nagórko [ 6 ] showed a homogenization with microlocal parameters for periodic plates; a comprehensive study on composite beams vibrations was done by Hajianmaleki and Qatu [ 7 ]; Roque et al [ 8 ] formulated a certain model of bending for laminated composite beams, capturing the effects of the microstructure, using a modified couple stress theory and a meshless method; Batra and Xiao [ 9 ] proposed a layer-wise third order shear and normal deformable plate/shell theory incorporating all geometric nonlinearities to study finite deformations of curved laminated beams; Grygorowicz et al [ 10 ], Wittenbeck et al [ 11 ] and Grygorowicz and Magnucka-Blandzi [ 12 ] analyzed dynamic stability of sandwich beams having variable mechanical properties of the core; a torsion of composite beams with a phase made of auxetic material was investigated by Stręk et al [ 13 ] and Jopek and Stręk [ 14 ] using an analytical-numerical model based on analytical relations and finite element method; Pawlus [ 15 ] modelled the stability of three-layered annular plates made of fiber-reinforced composite facings and a foam core; some numerical investigations using a new approximation function in Carrera’s unified formulation for composite layered beams were shown by Arruda et al [ 16 ].…”

Theoretical Analysis of Buckling for Functionally Graded Thin Plates with Microstructure Resting on an Elastic Foundation

“…Reference [ 4 ]. To describe different composite media (also periodically microstructured) there are also proposed various other modelling methods, e.g., a homogenization based on microlocal parameters for periodic plates was used in Reference [ 5 ]; natural frequencies of thick plates made of orthotropic materials were analysed in Reference [ 6 ]; the stability of thin-walled columns with cells was considered in Reference [ 7 ]; the dynamic stability of sandwich beams and plates with a core having variable mechanical properties was analysed in References [ 8 , 9 , 10 , 11 ]; the stability of three-layered annular plates composed of laminated fibre-reinforced composite facings and foam core was investigated in Reference [ 12 ]; a torsion of composite beams with a phase made of an auxetic material with a microstructure was analysed in References [ 13 , 14 ], applying a certain analytical-numerical model based on analytical relations and the finite element method.…”