Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method

Abstract

Purpose This paper aims to analyze the stability of laminated shells subjected to axial loads or external pressure with considering various geometries and boundary conditions. The main aim of the present study is developing an efficient combined method which uses the advantages of different methods, such as finite element method (FEM) and isogeometric analysis (IGA), to achieve multipurpose targets. Two types of material including laminated composite and sandwich functionally graded material are considered. Design/methodology/approach A novel type of finite strip method called isogeometric B3-spline finite strip method (IG-SFSM) is used to solve the eigenvalue buckling problem. IG-SFSM uses B3-spline basis functions to interpolate the buckling displacements and mapping operations in the longitudinal direction of the strips, whereas the Lagrangian functions are used in transverse direction. The current presented IG-SFSM is formulated based on the degenerated shell method. Findings The buckling behavior of laminated shells is discussed by solving several examples corresponding to shells with various geometries, boundary conditions and material properties. The effects of mechanical and geometrical properties on critical loads of shells are investigated using the related results obtained by IG-SFSM. Originality/value This paper shows that the proposed IG-SFSM leads to the critical loads with an approved accuracy comparing with the same examples extracted from the literature. Moreover, it leads to a high level of convergence rate and low cost of solving the stability problems in comparison to the FEM.

An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

“…The above results obtained by the present analytical method without any time-consuming computations. On the other hand, in the studies performed by the numerical solutions such as Dehrouyeh-Semnani and Mostafaei, 20 Qatu and Asadi, 40 and Shahmohammadi et al 60,63 the authors have reported that in order to find similar results, they have spent several times on the computational iterations. It shows that by using the present method in its framework, we can investigate the effects of various parameters on the free-vibration and stability of the doubly-curved shells without spending much time which is not provided in numerical solutions.…”

“…Some other studies have been conducted by combining the different numerical solutions in a unit formulation. For instance, in the Shahmohammadi et al [57][58][59][60] a new version of finite strip method was developed by combining the isogeometric analysis and finite element method. Also in Shahmohammadi et al, 61 a coupled FEM-DQM formulation was developed to assess the nonlinear behavior of sandwich nanoplates.…”

Bending Responses of Bi-Directional Advanced Composite Nanobeams Using Higher Order Nonlocal Strain Gradient Theory

“…The smoothing of the stress distribution is another of these benefits. Subsequently, several studies have been realized to investigate the linear and nonlinear static, buckling and vibration responses of FGM micro/nano-structures due to the increased relevance of the functionally graded materials structural components in the design of engineering structures [1][2][3][4][5][6][7]. Melaibri et al [8] demonstrated the vibrationala frequency behaviour of single walled carbon nanotubes (SWCNTs) shells by employing a modern analytical solution based on the Galerkin approach.…”

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

“…For FG-CNT (carbon nanotubes) reinforced shells, Hajlaoui et al (2019) performed static analysis using finite element analysis (FEA) formulation based on modified solid-shell element, and Mehar and Panda (2018) performed flexural analysis using higher-order shear deformation theory. Studies related to laminated plates involve a novel isogeometric method for stability analysis (Shahmohammadi et al , 2019), and a new quasi-conforming element for free vibration studies (Wang et al , 2020).…”