Consistency Between Analytical and Finite Element Predictions for Safety of Cylindrical Pressure Vessels at Higher Temperatures

The prediction of the plastic collapse load of cylindrical pressure vessels is very often made by using expensive Finite Element computations. The calculation of the collapse load requires an elastic-plastic material model and the consideration of non-linear geometry effects. The plastic collapse lo...

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Bibliographic Details
Published inMaterialprüfung Vol. 56; no. 4; pp. 274 - 278
Main Authors Iancu, Otto Theodor, Erhard, Anton, Otremba, Frank, Sklorz, Christian
Format Journal Article
LanguageEnglish
Published De Gruyter 01.04.2014
Subjects
analytical solution
FEM
limit load analysis
Materials testing
plastic instability
pressure vessel
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Summary:The prediction of the plastic collapse load of cylindrical pressure vessels is very often made by using expensive Finite Element computations. The calculation of the collapse load requires an elastic-plastic material model and the consideration of non-linear geometry effects. The plastic collapse load causes overall structural instability and cannot be determined directly from a Finite Element analysis. In the present paper the plastic collapse load for a cylindrical pressure vessel is determined by an analytical method based on a linear elastic perfectly plastic material model. When plasticity occurs the material is considered to be incompressible and the tensor of plastic strains to be parallel to the stress deviator tensor. In this case the finite stress-strain relationships of Henkel can be used for calculating the pressure for which plastic flow occurs. The analytical results are completely confirmed by Finite Element predictions.
ISSN:0025-5300
2195-8572
DOI:10.3139/120.110556