The effect of material and thickness variability on the buckling load of shells with random initial imperfections

Papadopoulos, Vissarion; Papadrakakis, Manolis

doi:10.1016/j.cma.2004.01.043

Cited by 95 publications

(72 citation statements)

References 15 publications

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“…Spectral representation has also been successfully implemented in the framework of Monte Carlo simulation (MCS) for the solution of realistic problems with the stochastic finite element approach e.g. [4,20,99,133,[135][136][137][138]145,146,173].…”

Section: The Spectral Representation Methodsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

862

407

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a b s t r a c tA powerful tool in computational stochastic mechanics is the stochastic finite element method (SFEM). SFEM is an extension of the classical deterministic FE approach to the stochastic framework i.e. to the solution of static and dynamic problems with stochastic mechanical, geometric and/or loading properties. The considerable attention that SFEM received over the last decade can be mainly attributed to the spectacular growth of computing power rendering possible the efficient treatment of large-scale problems. This article aims at providing a state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future.

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Section: The Spectral Representation Methodsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

862

407

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“…Simulation and FEM analysis of thin steel cylindrical shells of various lengths and diameters with elliptical cutouts have been studied by Shariati and Rokhi [7], [8]. The effect of random geometric imperfections on the critical load of isotropic, thin-walled, cylindrical shells under axial compression with rectangular cutouts is presented by Schenk and Schueller [9] and the effect of material and thickness imperfections on the buckling load of isotropic shells is investigated by Papadopoulos and Papadrakakis [10]. Using a double scale analysis including interaction modes, Jamal, Midani, Damil and Potier-Ferry also analysed influence of local imperfections [11].…”

Section: Introductionmentioning

confidence: 99%

Buckling behaviour of dented aluminium alloy cylindrical shell subjected to uniform axial compression

Stanković¹,

Ristić²,

Simonović³

et al. 2017

FME Transaction

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“…It is widely accepted that the result is caused by the original defects of structures. These original defects mainly include the thickness imperfection [2,3], misalignment in the loading [4], non-perfect boundary conditions [5], fluctuations in material properties [6], impact of residual stress [7] and the initial geometrical imperfection [8][9][10][11][12][13], and among which the initial geometrical imperfection is the major one whose influence on buckling has become a very important issue [14].…”

Section: Introductionmentioning

confidence: 99%

Analytical Model and Numerical Simulation for the Effect of Uncertain Initial Geometrical Imperfection on the Buckling of Thin Plate

Zhang¹,

Xiao²,

Qiang³

et al. 2017

Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017

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Abstract. Due to the uncertainty of the initial geometrical imperfection, it is difficult to evaluate its influence on bucking behavior of structures. In this study, the double trigonometric series is adopted to describe the initial geometric imperfection and the deformed deflection, and then the relation between them is deduced from the bending equilibrium equation. Therefore, the total displacement can be obtained by superposing these two deflections. Based on this analytical model, the range of the maximum deformation is determined by Monte Carlo simulation. The analysis provides a new analytical model for the buckling problem of plate with uncertain initial geometrical imperfection.

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The effect of material and thickness variability on the buckling load of shells with random initial imperfections

Cited by 95 publications

References 15 publications

The stochastic finite element method: Past, present and future

The stochastic finite element method: Past, present and future

Buckling behaviour of dented aluminium alloy cylindrical shell subjected to uniform axial compression

Analytical Model and Numerical Simulation for the Effect of Uncertain Initial Geometrical Imperfection on the Buckling of Thin Plate

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