MESHFREE GALERKIN KRIGING MODEL FOR BENDING AND BUCKLING ANALYSIS OF SIMPLY SUPPORTED LAMINATED COMPOSITE PLATES

2013 ◽  
Vol 10 (03) ◽  
pp. 1350011 ◽  
Author(s):  
TINH QUOC BUI ◽  
MINH NGOC NGUYEN
Keyword(s):  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Kriging Model ◽  
Numerical Approach ◽  
Buckling Analysis ◽  
Laminated Plates ◽  
Kriging Interpolation ◽  
Laminated Composite Plates ◽  
Classical Plate Theory

Further development of the novel meshfree Galerkin Kriging method for bending and buckling analysis of laminated composite plates is the main objective of the present work. The present formulation follows the classical plate theory while the discrete equations are derived from the standard Galerkin weak form. The moving Kriging interpolation technique is used for constructing shape functions, which possess the delta property and thus no special techniques are required for imposing the essential boundary conditions. Various numerical examples with different geometries of plates for both bending and buckling analysis are solved to demonstrate the applicability and the effectiveness of the present approach. The calculated results are compared with reference solutions available in the literature and very good agreements are obtained. It obviously illustrates that the proposed method can be considered as an alternative numerical approach for buckling and bending of laminated plates.

scholarly journals Transient analysis of laminated composite plates using NURBS-based isogeometric analysis

2014 ◽  
Vol 36 (4) ◽  
pp. 267-281
Author(s):  
Lieu B. Nguyen ◽  
Chien H. Thai ◽  
Ngon T. Dang ◽  
H. Nguyen-Xuan
Keyword(s):  
Numerical Solutions ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Present Theory ◽  
Response Analysis ◽  
Laminated Composite Plates ◽  
Analysis Model ◽  
Classical Plate Theory

We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form of response analysis model for laminated composite plates is used to obtain the discrete system of equations. It can be solved by isogeometric approach based on the non-uniform rational B-splines (NURBS) basic functions. Some numerical examples of the laminated composite plates under various dynamic loads, fiber orientations and lay-up numbers are provided. The accuracy and reliability of the proposed method is verified by comparing with analytical solutions, numerical solutions and results from Ansys software.

scholarly journals A novel meshfree approach for free vibration and buckling analysis of thin laminated composite plates

2017 ◽  
Vol 20 (K1) ◽  
pp. 50-57
Author(s):  
Nguyen Ngoc Minh ◽  
Nguyen Vuong Tri ◽  
Nguyen Thanh Nha ◽  
Truong Tich Thien
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Transformation Method ◽  
Boundary Integral ◽  
Buckling Analysis ◽  
Integration Scheme ◽  
Laminated Composite Plates ◽  
Background Mesh

A novel meshfree radial point interpolation approach which employs a new numerical integration scheme is introduced. The new integration scheme, namely Cartesian Transformation Method, transforms a domain integral into a double integral including a boundary integral and a one-dimensional integral, and thus allowing integration without discretizing domain into sub-domains usually called background mesh in traditional meshfree analysis. A new type of radial basis function that is little sensitive to user-defined parameters is also employed in the proposed approach. The present approach is applied to free vibration and buckling analysis of thin laminated composite plates using the classical Kirchhoff’s plate theory. Various numerical examples with different geometric shapes are considered to demonstrate the applicability and accuracy of the proposed method.

Isogeometric analysis of laminated composite plates based on a four-variable refined plate theory

2014 ◽  
Vol 47 ◽  
pp. 68-81 ◽  
Author(s):  
Loc V. Tran ◽  
Chien H. Thai ◽  
Hien T. Le ◽  
Buntara S. Gan ◽  
Jaehong Lee ◽  
...  
Keyword(s):  
Isogeometric Analysis ◽  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Refined Plate Theory

Thermoelastic bending analysis of laminated composite plates according to various shear deformation theories

2014 ◽  
Vol 5 (1) ◽  
Author(s):  
Atteshamuddin Shamshuddin Sayyad ◽  
Bharati Machhindra Shinde ◽  
Yuwaraj Marotrao Ghugal
Keyword(s):  
Shear Stress ◽  
Shear Deformation ◽  
Transverse Shear ◽  
Virtual Work ◽  
Plate Theory ◽  
Thermal Response ◽  
Laminated Composite ◽  
Composite Plates ◽  
Shear Stresses ◽  
Laminated Composite Plates

AbstractThis study presents the thermoelastic analysis of laminated composite plates subjected to sinusoidal thermal load linearly varying across the thickness. Analytical solutions for thermal displacements and stresses are investigated by using a unified plate theory which includes different functions in terms of thickness coordinate to represent the effect of shear deformation. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Governing equations of equilibrium and associated boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates has been developed. Numerical results are presented to demonstrate the thermal response of the laminated composite plates.

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