Numerical buckling analysis of compressed or tensioned cracked thin plates

2005 ◽  
Vol 27 (2) ◽  
pp. 265-276 ◽  
Author(s):  
Roberto Brighenti
Keyword(s):  
Buckling Analysis ◽  
Thin Plates

Buckling Analysis of Circular FGM Plate Having Variable Thickness Under Uniform Compression by Finite Element Method

2005 ◽  
Author(s):  
Abazar Shamekhi ◽  
Mohammad H. Naei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variable Thickness ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Buckling Load ◽  
Thin Plates ◽  
Thickness Variation ◽  
Simply Supported ◽  
Element Method

This study presents the buckling analysis of radially-loaded circular plate with variable thickness made of functionally-graded material. The boundary conditions of the plate is either simply supported or clamped. The stability equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander’s non-linear strain-displacement relation for thin plates. The finite element method is used to determine the critical buckling load. The results obtained show good agreement with known analytical and numerical data. The effects of thickness variation and Poisson’s ratio are investigated by calculating the buckling load. These effects are found not to be the same for simply supported and clamped plates.

Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

2021 ◽  
pp. 2150044
Author(s):  
M. Aswathy ◽  
C. O. Arun
Keyword(s):  
Perturbation Method ◽  
Random Field ◽  
Random Fields ◽  
Buckling Analysis ◽  
Least Square ◽  
Thin Plates ◽  
Rectangular Plates ◽  
Moving Least Square ◽  
Parametric Studies ◽  
Element Free

The current paper presents a perturbation-based stochastic eigenvalue buckling analysis of thin plates using element free Galerkin method. Spatial variation in Young’s modulus is modeled as a homogeneous random field and moving least square-based shape function method is employed for discretizing the random field. Perturbation method is used to evaluate the statistics of buckling loads. Numerical examples wherein rectangular plates with different boundary conditions are solved and the statistics obtained are compared with those calculated using Monte Carlo simulation. Different parametric studies are also conducted. The results obtained from perturbation method are found to be reasonably accurate for coefficient of variation (CV) values less than 20% for random fields with normal distribution. Further it is observed that for random fields with lognormal distribution, the proposed method produces reasonably accurate results up to a CV of 30%.

scholarly journals Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Li-Ke Yao ◽  
Bin He ◽  
Yu Zhang ◽  
Wei Zhou
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Buckling Analysis ◽  
Thin Plates ◽  
System Matrix ◽  
Engineering Structures ◽  
Finite Strip ◽  
Main Components ◽  
Global Stiffness Matrix

Plates and shells are main components of modern engineering structures, whose buckling analysis has been focused by researchers. In this investigation, rectangular thin plates with loaded edges simply supported can be discretized by semi-analytical finite strip technology. Then the control equations of the strip elements of the buckling plate will be rewritten as the transfer equations by transfer matrix method. A new approach, namely semi-analytical Finite Strip Transfer Matrix Method, is developed for the buckling analysis of plates. This method requires no global stiffness matrix of the system, reduces the system matrix order, and improves the computational efficiency. Comparing with some theoretical results and FEM’s results of two illustrations (the plates and the ribbed plates) under six boundary conditions, the method is proved to be reliable and effective.

scholarly journals Numerical buckling analysis of cracked Bi-material thin plates

2020 ◽  
Vol 12 (7) ◽  
pp. 168781402094464
Author(s):  
Sara Ould Hamouda ◽  
Nabil Kazi Tani ◽  
Tawfik Tamine
Keyword(s):  
Numerical Simulations ◽  
Thin Plate ◽  
Interface Crack ◽  
Research Work ◽  
Interfacial Crack ◽  
Tensile Loading ◽  
Buckling Analysis ◽  
The Other ◽  
Thin Plates ◽  
Buckling Behavior

The aim of this present study is to analyze numerically the buckling behavior of cracked thin bi-material structures subjected to compression and tensile stresses and this, by considering the evolution of crack lengths and its orientations at the interface. This research work allows to quantify numerically the buckling phenomenon which can affects the thin plates for both cases, with and without interface crack especially, when the plate is subjected to tensile loading. The main important results of numerical simulations show that for the case of compression loading, the presence of interfacial crack increases significantly the strength of the thin plate against buckling phenomena. In the other hand, thin crack plates buckling is more pronounced when the crack tip is close to the interface (θ = 90°, θ = 75°). Finally, unlike to the case of homogeneous thin plates, the incorporation of bi-material aspect in thin plates design offers more strength against buckling either for compression or tensile loading.

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