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Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Arefi Mohammad, Civalek O.

Archives of Civil and Mechanical Engineering

2020

Vol. 20, no. 1

310--326

The aim of this present work is to study the higher-order modelling of a cylindrical nano-shell resting on Pasternak’s foundation based on nonlocal elasticity theory. Third-order shear deformation theory is developed for modelling the kinematic relations, and nonlocal elasticity theory is developed for size-dependent analysis. The principle of virtual work is applied to derive static governing equations. The solution is presented for simply supported boundary conditions in terms of various important parameters. The numerical results including lower- and higher-order longitudinal and radial displacements are presented in terms of nonlocal parameter, two parameters of Pasternak’s foundation and some dimensionless geometric parameters such as length-to-radius ratio and length-to-thickness ratio.

Free vibration and buckling analysis of higher order laminated composite plates using the isogeometric approach

Peković O., Stupar S., Simonović A., Svorcan J., Trivković S.

Journal of Theoretical and Applied Mechanics

2015

Vol. 53 nr 2

453--466

This research paper presents a higher order isogeometric laminated composite plate finite element formulation. The isogeometric formulation is based on NURBS (non-uniform rational B-splines) basis functions of varying degree. Plate kinematics is based on the third order shear deformation theory (TSDT) of Reddy in order to avoid shear locking. Free vibration and the buckling response of laminated composite plates are obtained and efficiency of the method is considered. Numerical results with different element order are presented and the obtained results are compared to analytical and conventional numerical results as well as existing isogeometric plate finite elements.