On numerical static analysis of stiffened laminated composite plates with delaminations, cracks, or debonding of a piezoelectric patch

2020 ◽  
pp. 1-15
Author(s):  
Yaogang Wu ◽  
Zhengguang Xiao ◽  
Dinghe Li ◽  
Jianxin Xu
Keyword(s):  
Static Analysis ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Piezoelectric Patch

scholarly journals A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory

2013 ◽  
Vol 10 (2) ◽  
pp. 1 ◽  
Author(s):  
RF Rango ◽  
FJ Bellomo ◽  
LG Nallim
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Static Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
General Algorithm ◽  
Laminated Composite Plates ◽  
First Order

 This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner-Mindlin plate theory. In solving the aforementioned plate problems, a general algorithm based on the Ritz method and the use of beam orthogonal polynomials as coordinate functions is derived. This general algorithm provides an analytical approximate solution that can be applied to the static analysis of moderately thick laminated composite plates with any lamination scheme and combination of edge conditions. The convergence, accuracy, and flexibility of the obtained general algorithm are shown by computing several numerical examples and comparing some of them with results given in the literature. Some results, including general laminates and nonsymmetrical boundary conditions with free edges, are also presented. 

Variational Approximate and Mixed-Finite Element Solution for Static Analysis of Laminated Composite Plates

2017 ◽  
Vol 267 ◽  
pp. 35-39 ◽  
Author(s):  
Emrah Madenci ◽  
Atilla Özütok
Keyword(s):  
Finite Element ◽  
Static Analysis ◽  
Mixed Type ◽  
Plate Theory ◽  
Mixed Finite Element ◽  
Laminated Composite ◽  
Composite Plates ◽  
Element Formulation ◽  
Laminated Composite Plates ◽  
Virtual Displacement

The main objective of the present study is to give a systematic way for the derivation of laminated composite plates by using the mixed type finite element formulation with a functional. The first order shear deformation plate theory is used. Differential field equations of composite plates are derived from virtual displacement principle. These equations were written in operator form then by using the Gâteaux differential method, a new functional which including the dynamic and geometric boundary conditions is obtained after provide potential conditions. Applying mixed-type finite element based on this new functional, a plate element namely FOPLT32 is derived which have 8 degrees of freedoms on per node, total 32 freedoms. The reliability of the derived FOPLT32 plate elements for static analysis is verified, since the results obtained have been shown to agree well with the existing ones.

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