Tensile stability of cylindrical membranes

Ratner, Alon

doi:10.1016/0020-7462(83)90041-0

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…Since then many theoretical and numerical works have been published, most of which deal with the equilibrium and stability of cylindrical and spherical membranes under uniform internal pressure or loads acting along the boundaries [1][2][3][4][5][6][7]. Nevertheless, the number of experimental contributions to this class of problems is rather small compared with the theoretical and numerical ones.…”

Section: Introductionmentioning

confidence: 99%

Finite deformations of cylindrical membrane under internal pressure

Pamplona

Gonçalves

Lopes

2006

International Journal of Mechanical Sciences

104

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Section: Introductionmentioning

confidence: 99%

Finite deformations of cylindrical membrane under internal pressure

Pamplona

Gonçalves

Lopes

2006

International Journal of Mechanical Sciences

104

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“…Analytical studies of thin hyperelastic shell can be conducted only for simple geometries and loading cases [9][10][11][12][13][14]. For thick hyperelastic shells even simple problems can rarely be treated theoretically [17].…”

Section: Numerical Analysismentioning

confidence: 99%

“…The analysis of thin hyperelastic cylindrical shells has been a problem of continued interest. The investigation of the equilibrium and stability of thin cylindrical tubes under uniform pressure loading or loads acting along the boundaries has been examined theoretically, for instance, by Alexander [9], Ratner [10], Haseganu and Steigmann [11], Haughton [12] and Gent [13]. Experimental investigations were carried out by Pamplona and Bevilacqua [14] and Pamplona et al [1,2], among others.…”

Section: Introductionmentioning

confidence: 99%

Influence of initial geometric imperfections on the stability of thick cylindrical shells under internal pressure

Lopes

Gonçalves

Pamplona

2006

Commun. Numer. Meth. Engng.

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International audienceThis paper investigates numerically and experimentally the influence of initial geometric imperfections on the critical loads of initially stretched thick hyperelastic cylindrical shells under increasing uniform internal pressure. Imperfections in shells can have a global or local character. First, two types of local imperfections are considered: (1) a local axially symmetric imperfection in the form of a ring and (2) a small rectangular imperfection. The influence of the imperfection thickness, position and size are analysed in detail. Results show that the critical load decreases as the imperfections increase in size or thickness and as they move from the boundaries to the centre of the shell. The influence of multiple local imperfections is also studied in the present paper. Finally, the influence of global imperfections is considered with the imperfections described as a variation of the shell curvature in the axial direction. The results show that thick hyperelastic shells may be sensitive to local and global imperfections. In all cases the experimental results are in good agreement with the numerical ones, corroborating the conclusions

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Investigations on Load Capacity and stability of deformation of rubber cylindrical shells under internal pressure

Gasiak

1994

Materialwissenschaft Werkst

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The paper presents a wide analysis of conditions under which a loss of deformation stability can be observed as well as local bulges form in axially-symmetric (rotational) shells of any length. Analytical relations o f the theory o f shells were used for the analysis. If the maximum pressure in the shell was exceeded, the deformation process was investigated too. In such a case. strains begin to develop more intensely in the central part o f a long cylindrical shell and, owing to that. one or more superimposed bulges (blisters) form. Symmetryofthe shell deformation in relation to the centreof its length can be disturbed. A set of algebraic equations was derived for determination of critical pressure and critical strains on the falling part of the relation between pressure and the shell radius. The analysis of deformation stability is of a general type, because the used form of elastic potential of the material is a function characteristic for all the rubber-like materials.The experiments proved the results obtained from the analysis of the assumed theoretical models of shells, which were cylindrical at the beginning. Notat ionconstants o f integration dimensionless thickness o f the shell wall, before and after deformation respectively, (ho = W R o , h = H/Ro) thickness of the shell wall before and after deformation, respectively invariants o f the strain state -the first, the second and the third one, respectively dimensionless length of the shell -before and after deformation (lo = L(jRo, 1 = LIRO) the shell length before and after deformation forces for the length unit of the shell -in longitudinal and circumferential direction, respectively actual and maximum internal pressure cylindrical coordinates of Lagrange type shell radius before deformation (initial) length of the shell are before and after deformation in longitudinal direction length of the shell are before and after deformation in circumferential direction function of elastic potential cylindrical coordinates of Euler type principal unit elongation in longitudinal, circumferential and normal direction to the shell surface normal stress components (i = 1, 2, 3 ) anglc between tangent to the shell and the line perpendicular to the shell axis -before and after deformation function of longitudinal stress, dependent on A2

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Tensile stability of cylindrical membranes

Cited by 8 publications

References 7 publications

Finite deformations of cylindrical membrane under internal pressure

Finite deformations of cylindrical membrane under internal pressure

Influence of initial geometric imperfections on the stability of thick cylindrical shells under internal pressure

Investigations on Load Capacity and stability of deformation of rubber cylindrical shells under internal pressure

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