Buckling strength of imperfect steel hemispheres

Błachut, J.; Galletly, G. D.

doi:10.1016/0263-8231(95)00001-t

Cited by 44 publications

(16 citation statements)

References 5 publications

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“…The requirement for the hard disk capacity of computer will be reduced to 1=N 2 , and the analysis time will be reduced greatly. For the same reason, the time for eigenvalue problem analysis will also be reduced substantially despite the higher complexity of the complex eigenvalue problem.…”

Section: Discussionmentioning

confidence: 99%

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Buckling analysis of rotationally periodic structures using shell element with relative degrees of freedom

Cen

Lie

2001

Numerical Meth Engineering

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SUMMARYBy considering the characteristics of deformation of rotationally periodic structures subjected to rotationally periodic loads, the periodic structure is divided into several identical substructures in this paper. If the structure is really periodic but not axisymmetric, the number of the substructures can be deÿned accordingly. If the structure is axisymmetric (special in the case of the periodic), the structure can be divided into any number of substructures. It means, in this case, the number of substructures is independent of the number of buckling waves. The degrees of freedom (DOFs) of joint nodes between the neighbouring substructures are classiÿed as master and slave ones. The stress and strain conditions of the whole structure are obtained by solving the elastic static equations for only one substructure by introducing the displacement constraints between master and slave DOFs. The complex constraint method is used to get the bifurcation buckling load and mode for the whole rotationally periodic structure by solving the eigenvalue problem for only one substructure without introducing any additional approximation. Finite element (FE) formulation of shell element of relative degrees of freedom (SERDF) in the buckling analysis is then derived. Di erent measures of tackling internal degrees of freedom for di erent kinds of buckling problems and di erent stages of numerical analysis are presented. Some numerical examples are given to illustrate the high e ciency and validity of this method.

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Section: Discussionmentioning

confidence: 99%

“…Blachut and Galletly [2] carried out the buckling analysis of the whole hemisphere with shell elements. In order to obtain satisfying results, it is necessary to use many elements, and the analysis e ciency will not be very high.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of rotationally periodic structures using shell element with relative degrees of freedom

Cen

Lie

2001

Numerical Meth Engineering

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“…Study of their collapse behaviour has received considerable attention of the researchers in the last four decades [1][2][3][4][5][6][7][8][9][10]. Experimental and analytical studies on these structural elements have been carried out under both quasi-static and dynamic loadings in axial and lateral directions.…”

Section: Introductionmentioning

confidence: 99%

“…Large deformation of a rigid plastic hemispherical shell compressed between two rigid parallel plates was studied by performing experiments and proposing analytical models obtained from their experimental finding by few researchers [2][3][4][5][6][7] in the past. Among these, only De Oliveira and Wierzbicki [4] have studied the deformation of the spherical shell under concentrated point load as well as between rigid plates as a part of their studies on the crushing analysis of rotationally symmetric plastic shells.…”

Section: Introductionmentioning

confidence: 99%

Computational and experimental studies of crushing of metallic hemispherical shells

Gupta

2006

Arch Appl Mech

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Axial compression of aluminium spherical shells of R/t values ranging from 25 to 43 was performed under central loading. Quasi-static tests were conducted on an INSTRON machine (model 1197) of 50 T capacity. Spherical shells were tested to identify their modes of collapse and to study the associated energy absorption capacity. In experiments all the spherical shells were found to collapse due to formation of an axisymmetric inward dimple associated with a rolling plastic hinge. A Finite Element computational model of development of the axisymmetric mode of collapse is also presented. Experimental and computed results of the deformed shapes and their corresponding load-compression and energy-compression curves were presented and compared to validate the computational model. The computed variations of the different strains and stresses were also studied. On the basis of the computational results mechanics of the development of the axisymmetric inward dimple mode of collapse has been presented, analysed and discussed.

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“…In the first approach, experiments are used to benchmark the numerical calculations. For example, Blachut and Galletly [2] examined the load-carrying capacity o f spun steel hemispheres under static external pressure. The effects of both thickness and shape imperfections on the collapse strength were discussed.…”

mentioning

confidence: 99%

Experimental and Theoretical Design Methodology of Hemispherical Shells under Extreme Static Loading

Galiev

Błachut

Skurlatov

et al. 2004

Strength of Materials

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Buckling strength of imperfect steel hemispheres

Cited by 44 publications

References 5 publications

Buckling analysis of rotationally periodic structures using shell element with relative degrees of freedom

Buckling analysis of rotationally periodic structures using shell element with relative degrees of freedom

Computational and experimental studies of crushing of metallic hemispherical shells

Experimental and Theoretical Design Methodology of Hemispherical Shells under Extreme Static Loading

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