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A numerical axisymmetric collapse analysis of viscoplastic cylindrical shells under axial compression

✍ Scribed by Lars Pilgaard Mikkelsen


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
969 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis


Circular cylindrical shells are frequently used as structural components because of their high strength and their ability to absorb energy during complete structural collapse[ Total collapse analyses have mainly been based on experimental work and approaches inspired by this[ However\ in the last few years\ powerful numerical tools have been available and numerical collapse analyses have become more attractive[ This paper presents results from an axisymmetric numerical collapse analysis[ The analysis is based on a _nite rotation shell theory accounting for contact between the shell walls[ The strains are assumed to remain small and the shell material is described by an elasticÐviscoplastic model[ The sensitivity of the collapse behaviour is demonstrated with respect to parameters such as initial imperfections\ thickness of the shell\ material parameters and rate of deformation[ Comparisons between the results numerically obtained and approaches found in the literature are presented[ Good agreement was found for the folding length of the developed collapse pattern whereas small di}erences between the mean crushing loads was observed[ Furthermore\ it was noted that the developed collapse pattern was strongly dependent on the strain hardening of the material[ Þ 0887 Elsevier Science Ltd[ All rights reserved[ Notation List of the most important symbols[ The number in brackets refers to the equation where the variable was de_ned or _rst introduced[ " = # time derivative " ¦ # increment " ¦ # " ¾ #Dt "># undeformed state "Section 2# " # =a covariant di}erentiation "09# " * # variables to the time t¦Dt "A[0# L ijkl elastic moduli "5#


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Stability of imperfect elastic cylindrical shells which are subjected to uniform axial compression is analyzed by using the finite element method. Multiple interacting localized axisymmetric initial geometric imperfections, having either triangular or wavelet shapes, were considered. The effect of a