Buckling Analysis of Laminated Anisotropic Kirchhoff’s Plates via The Boundary Element Method

In this research, buckling behavior of rectangular plates of symmetric and antisymmetric laminated composite having centered circular hole under in-plane static loadings is analyzed with the aid of first shear deformation theory and the finite element method is used to find critical loads. The presence of hole may cause redistribution of stresses in plates with reduction of stability. The aim of the current paper is to find critical buckling load. The loads depend on many parameters like geometric aspect ratios (a/b) and (d/b), plate thickness (t), diameter of the circular hole (d), orientation of ply and boundary conditions. Numerical simulations for various boundary conditions obtained are shown in tables and graphical forms and compared with each other.

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“…and the stiffness components is based on the following 13 weighted-residual statements of the FSDT [19] and [20]:…”

Section: Finite Element Modelmentioning

confidence: 99%

Buckling analysis of rectangular plates with centered cut-out subjected to in-plane two directions under different boundary conditions

2019

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“…• Composite Materials: distortions in composite wing structures (Makinde et al, 2018), failure in composite pressure vessels (Vignoli and Savi, 2018), and dynamic analysis (Marques et al, 2018). • X-FEM, G-FEM, and BEM: crack propagation and X-FEM modelling (Angelo et al, 2018); G-FEM modelling (Sato et al, 2018) and dynamic analysis (Weinhardt et al, 2018); BEM analysis of buckling of anisotropic plates (Monteiro and Daros, 2018), and 3D frictional contact (Ubessi and Marczak, 2018). • Structural Reliability Methods and Reliability-Based Design Optimization: Multi-objective optimization (Passos and Luersen, 2018) and experimental crack identification (Oliveira Filho et al, 2018).…”

Section: Main Topics and Articles Accepted To The Special Issuementioning

confidence: 99%

Preface to the special issue of the International Symposium on Solid Mechanics (MecSol 2017)

Vaz

Medeiros

Cardoso

et al. 2018

Lat. Am. j. solids struct.

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The International Symposium on Solid Mechanics MecSol is a biennial conference which aims to provide a forum to discuss relevant issues associated with solid mechanics. The MecSol 2017 edition was held in the city of Joinville, Brazil, on 26-28 April 2017. Plenary lectures were delivered by researchers from five different countries. The main topics discussed in the conference are as follows: composite materials, optimization, constitutive modelling, fatigue, impact, nonlinear analyses, structural reliability, X-FEM, G-FEM, and BEM numerical methods. The participants were invited to submit full papers, which, after peer review, compound this special issue of the Latin American Journal of Solids and Structures. This article highlights the main topics addressed in the conference.

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Cubic b-splines to perform topology optimization with buckling load on carbon fiber nano reinforced simply supported cross ply laminated composite square plates using inverse buckling formulation

Chandrasekhar

Bhikshma

2022

JCE

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Composite laminates are widely used in several civil engineering structures. Composite laminates are used in bridges, aircraft, and construction because of their light weight and high strength. The study on the behavior of these laminates is very important now. The main focus of this research is to propose a new method to perform topology optimization of nano-reinforced composite laminates carrying buckling loads. The goal is to present the optimal layout of the material, stress distribution at the optimal state, buckling load factors at the optimal state, and most importantly, the deformed profile of the composite laminate at the optimal state. The elastic stiffness matrix and the geometric stiffness matrix can be used to determine the buckling load. The reason for taking the reciprocal of the buckling load is that during optimization, the number of elements that are not participating in carrying the load increases, and hence the stress carried by these elements is minimal. Hence, we have considered the inverse value of the buckling load factor. The design domain is modelled using cubic b-splines. Higher-order shear deformation theory is used, and isogeometric analysis is performed to determine the buckling load. The deformed profile of the plate at the optimal state, the optimal layout of the material, stress distribution, buckling load factors, and the corresponding mode shapes are given as well. Only carbon fiber nano-reinforced, cross-ply square plates with a simple support structure have been considered. Three different types of loading conditions, namely uniaxial compressive loading, bi-axial compressive loading, and pure shear loading, are considered. Coding is done in MatLab®, and the buckling load factors are determined. Several examples from the literature are considered with different moduli ratios, laminae, and span to thickness ratios, and the non-dimensional buckling load is determined for each. The results obtained are in good agreement with those given in the literature.

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Buckling Analysis of Laminated Anisotropic Kirchhoff’s Plates via The Boundary Element Method

Cited by 3 publications

References 21 publications

Buckling analysis of rectangular plates with centered cut-out subjected to in-plane two directions under different boundary conditions

Buckling analysis of rectangular plates with centered cut-out subjected to in-plane two directions under different boundary conditions

Preface to the special issue of the International Symposium on Solid Mechanics (MecSol 2017)

Cubic b-splines to perform topology optimization with buckling load on carbon fiber nano reinforced simply supported cross ply laminated composite square plates using inverse buckling formulation

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