An Investigation on Buckling Behaviour of Functionally Graded Plates Using Finite Strip Method

2012 ◽  
Vol 152-154 ◽  
pp. 1470-1476 ◽  
Author(s):  
Seyyed Amir Mahdi Ghannadpour ◽  
Hamid Reza Ovesy ◽  
Mohammad Nassirnia
Keyword(s):  
Material Properties ◽  
Homogenization Method ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Thickness Direction ◽  
Functionally Graded Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Buckling Behavior

Semi-analytical finite strip method (FSM) for analyzing the buckling behavior of some functionally graded plates is presented in this paper. The plates are assumed to be under three types of mechanical loadings, namely; uniaxial compression, biaxial compression, and biaxial compression and tension. The material properties are assumed to vary in the thickness direction according to the power-law variation in terms of volume fractions of the constituents. Thus, the material properties are estimated from the both Voigt rule of mixtures (VRM) and Mori-Tanaka homogenization method (MTM). Numerical results for a variety of functionally graded plates with different aspect ratio are given and compared.

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

2019 ◽  
Vol 37 (4) ◽  
pp. 1369-1395 ◽  
Author(s):  
Mohammad Amin Shahmohammadi ◽  
Mojtaba Azhari ◽  
Mohammad Mehdi Saadatpour ◽  
Saeid Sarrami-Foroushani
Keyword(s):  
Boundary Conditions ◽  
Critical Loads ◽  
Laminated Composite ◽  
Functionally Graded ◽  
Laminated Shells ◽  
Content Type ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
The Stability

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.

Experimental and numerical investigation of stiffener effects on buckling strength of composite laminates with circular cutout

2019 ◽  
Vol 54 (9) ◽  
pp. 1141-1160 ◽  
Author(s):  
T Shojaee ◽  
B Mohammadi ◽  
R Madoliat
Keyword(s):  
Composite Laminates ◽  
Composite Plates ◽  
Nonlinear Buckling ◽  
Perforated Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Buckling Behavior ◽  
Efficient Prediction ◽  
Circular Cutout

In the notched structures, to achieve maximum buckling resistance in comparison with structural weight, the optimal design of a stiffener is very important. In this research, after a review of the existing literature, nonlinear buckling behavior of composite plates containing the cutout with three different designs of stringer was investigated. The considered stiffeners are planer, longitudinal, and ring types. The buckling experiments were carried out on the stiffened plates containing a circular notch. Moreover, to achieve an efficient prediction of the buckling in the stiffened laminate with the hole, a finite strip method is developed based on the Airy stress function and von Karman’s large deformation equations. Studies show that there is a good agreement between the postbuckling behaviors derived from developed finite strip method with experimental results. Fast convergence of the considered finite strip method compared with the finite element results shows its efficiency for prediction of buckling behavior in laminated composites. The results show that the buckling load-bearing capacities of perforated plates with a longitudinal and planer stiffener are higher compared with the other stiffener, respectively. The detailed parametric study on the effects of thickness of the plate and stiffener and opening diameter on buckling behavior was performed using experiments and modeling.

Bending analysis of functionally graded sandwich plates using the refined finite strip method

2021 ◽  
pp. 109963622110204
Author(s):  
Mohammad Naghavi ◽  
Saeid Sarrami-Foroushani ◽  
Fatemeh Azhari
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method

In this study, static analysis of functionally graded (FG) sandwich plates is performed using the finite strip method based on the refined plate theory (RPT). Two types of common FG sandwich plates are considered. The first sandwich plate is composed of two FG material (FGM) face sheets and a homogeneous ceramic or metal core. The second one consists of two homogeneous fully metal and ceramic face sheets at the top and bottom, respectively, and a FGM core. Differential equations of FG sandwich plates are obtained using Hamilton's principle and stiffness and force matrices are formed using the finite strip method. The central deflection and the normal stress values are obtained for a sinusoidal loaded FG sandwich plate and the accuracy of the results are verified against those obtained from other theories such as the classical plate theory (CPT), the first-order shear deformation theory (FSDT), and the higher order shear deformation theory (HSDT). For the first time, this study presents a finite strip formulation in conjunction with the RPT to analyze FG Sandwich plates. While the proposed method is fast and simple, it is capable of modeling a variety of boundary conditions.

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