Investigations on Load Capacity and stability of deformation of rubber cylindrical shells under internal pressure
Identifieur interne : 001E31 ( Main/Curation ); précédent : 001E30; suivant : 001E32Investigations on Load Capacity and stability of deformation of rubber cylindrical shells under internal pressure
Auteurs : G. Gasiak [Pologne]Source :
- Materialwissenschaft und Werkstofftechnik [ 0933-5137 ] ; 1994-05.
Abstract
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 of the theory of 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 of a long cylindrical shell and, owing to that, one or more superimposed bulges (blisters) form. Symmetry of the shell deformation in relation to the centre of 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.
Url:
DOI: 10.1002/mawe.19940250508
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<front><div type="abstract" xml:lang="en">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 of the theory of 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 of a long cylindrical shell and, owing to that, one or more superimposed bulges (blisters) form. Symmetry of the shell deformation in relation to the centre of 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.</div>
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