Numerical analysis of linear and nonlinear buckling instability of plates made of topologically interlocked materials

2021 ◽  
pp. 1-13
Author(s):  
Milad Zakeri ◽  
Marzie Majidi ◽  
Mojtaba Haghighi-Yazdi ◽  
Majid Safarabadi
Keyword(s):  
Numerical Analysis ◽  
Nonlinear Buckling ◽  
Buckling Instability ◽  
Linear And Nonlinear

Stability of Elastic Orthotropic Circular Cylindrical Vessels

2010 ◽  
Author(s):  
Krzysztof Magnucki ◽  
Leszek Wittenbeck
Keyword(s):  
Numerical Analysis ◽  
Critical Pressure ◽  
Linear Analysis ◽  
External Pressure ◽  
Second Step ◽  
Nonlinear Buckling ◽  
Post Buckling ◽  
Analytical Formulas ◽  
Linear And Nonlinear ◽  
Nonlinear Buckling Analysis

This paper is devoted to stability investigation of orthotropic circular cylindrical vessels subjected to external pressure. An untypical orthotropic structure that consist of two layers: smooth-external and corrugated-internal is proposed. The investigation is divided into two steps. In first one analytical formulas describing buckling behaviour are derived. In second step numerical analysis is performed by using FEM to obtain the correlation between analytical and numerical results. Authors also considered linear and nonlinear buckling analysis. During the linear analysis the influence of vessel geometry on critical pressure is determined. Nonlinear analysis is carried out to create equilibrium paths which show the behaviour of vessels in post-buckling state. The results of the analysis are presented in figures.

Stability of Long Cylindrical Sandwich Shells With Dissimilar Facings Subjected to a Lateral Pressure

1999 ◽  
Author(s):  
Victor Birman ◽  
George Simitses
Keyword(s):  
Lateral Pressure ◽  
Damage Tolerance ◽  
Impact Resistance ◽  
Postbuckling Behavior ◽  
Central Section ◽  
Nonlinear Buckling ◽  
Linear And Nonlinear ◽  
Sandwich Shells ◽  
Hostile Environments ◽  
External Loads

Abstract The paper presents the analysis of buckling and initial postbuckling behavior of long cylindrical sandwich shells subjected to a lateral pressure. The shells considered in the paper have dissimilar facings reflecting a demand to enhance impact resistance and damage tolerance of the facing exposed to external loads and hostile environments that are typical in applications. The shell being long, its central section remains in the state of plane strain prior to and after buckling. The solution includes the analysis of prebuckling deformations and linear and nonlinear buckling problems. It is shown that prebuckling deformations affect postbuckling shell behavior but they do not affect the linear (upper) buckling pressure. Numerical results presented in the paper illustrate that a moderate redistribution of the layers between the facings results in a limited reduction of the buckling pressure compared to the case of symmetric facings.

Application of Data Visualization and Numerical Analysis for Evaluating Propagation of Uncertainty

2011 ◽  
Vol 103 ◽  
pp. 343-347
Author(s):  
Xin Bian ◽  
Xin Zhou ◽  
Hong Fang ◽  
Ke Liu ◽  
Xiao Chuan Gan ◽  
...  
Keyword(s):  
Quantitative Analysis ◽  
Numerical Analysis ◽  
Data Visualization ◽  
Appropriate Use ◽  
Propagation Of Uncertainty ◽  
Use Of Data ◽  
Accurate Quantitative Analysis ◽  
Key Factor ◽  
Linear And Nonlinear ◽  
Using Data

Propagation of uncertainty is a key factor in uncertainty evaluation. We propose a method using data visualization and numerical analysis for evaluating propagation of uncertainty. In this paper, the main stages of the method are described. Then, the implementation of the method in linear and nonlinear model is illustrated through some examples. These examples show appropriate use of data visualization and numerical analysis can be helpful to provide a concise qualitative overview and accurate quantitative analysis for the uncertainty.

Introductory remarks

1971 ◽  
Vol 323 (1553) ◽  
pp. 153-153
Keyword(s):  
Social Sciences ◽  
Numerical Analysis ◽  
Numerical Methods ◽  
Future Development ◽  
Applied Mathematics ◽  
Numerical Techniques ◽  
Nonlinear Algebra ◽  
The Social ◽  
Linear And Nonlinear ◽  
Good Order

Over the last decade the use of numerical techniques for the solution of the problems of physics, engineering, chemistry, biology and the social sciences has increased by leaps and bounds, and it was felt that the time was ripe for holding a Discussion Meeting on some topic in numerical analysis. This was intended not merely to provide an opportunity for experts in the field to get together, since there are many specialized meetings in numerical analysis these days. The aim was rather to give scientists in general who are interested in numerical methods a chance to find out what is being done, so that they can make greater use of this work and hopefully influence its future development. After some deliberation I decided on partial differential equations as the topic, in spite of the fact that it is not an area in which I have made any direct contribution in recent years. This is because I believe it to be one of the most important and challenging fields; indeed the solution of systems of p. d. es lies at the very heart of the problems of applied mathematics. Long after we have the more basic fields of linear and nonlinear algebra and approximation theory in good order the problems arising in the solution of p. d. es will still be with us. The work that has been done in numerical analysis may then appear as a preliminary sharpening up of the tools we are to use.

Partially Double-Layered Dome Structure Linear and Nonlinear Buckling Analysis

2010 ◽  
Vol 163-167 ◽  
pp. 387-391
Author(s):  
Jian Bing Lv ◽  
He Lin Fu ◽  
Yang Li ◽  
Zhe Liu
Keyword(s):  
Stability Analysis ◽  
Space Structure ◽  
Buckling Analysis ◽  
Structure Stability ◽  
Analysis Method ◽  
Nonlinear Buckling ◽  
Nonlinear Load ◽  
New Type ◽  
Dome Structure ◽  
Linear And Nonlinear

Space steel structure stability has been a focused problem in the engineering field, in the past the study mainly concentrated on the single layer dome structure stability and elastic stability analysis, but with the structure shape complex, new type structure emerges continually, it needs more accurate stability analysis method. In this paper the linear and nonlinear buckling theory and analysis method are introduced firstly, and then a new type steel space structure with partially double layer dome structure is chosen as the computational model. The structure self vibration mode, linear buckling analysis and nonlinear buckling process and buckling characteristics are studied by the FEM commercial code ANSYS; the nonlinear load-deflection curves at the different points are gotten and some conclusions about this kind of structure are drawn.

scholarly journals Stiffening material impact on the work of thin-walled element

2019 ◽  
Vol 252 ◽  
pp. 07009
Author(s):  
Katarzyna Falkowicz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Software Package ◽  
Epoxy Composite ◽  
Static Compression ◽  
The Subject ◽  
Linear And Nonlinear ◽  
Thin Walled ◽  
Quasi Static Compression

The subject of research is a numerical analysis of a thin-walled plate with a cut-out and stiffening, made of laminate and subjected to axial compression. The plate was made of a carbon-epoxy composite - a laminate consisting of eight symmetrically oriented plies. The scope of the research included a linear and nonlinear numerical analysis using Finite Element Method (FEM). The main objective of the study was to investigate behaviour of the considered plate made of various stiffening materials, under quasi-static compression to achieve Tsai-Wu criterion. The numerical analysis was conducted with the Abaqus, commercial FEM software package.

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