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Design and Analysis

Plastic Buckling of Cones Subjected to Axial Compression and External Pressure

[+] Author and Article Information
J. Błachut

The University of Liverpool
Mechanical Engineering
Liverpool, L69 3GH, UK

J. Ryś

Cracow University of Technology
Mechanical Engineering
31-864 Kraków, Poland

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 24, 2011; final manuscript received March 27, 2012; published online December 5, 2012. Assoc. Editor: Dennis K. Williams.

J. Pressure Vessel Technol 135(1), 011205 (Dec 05, 2012) (9 pages) Paper No: PVT-11-1157; doi: 10.1115/1.4006903 History: Received July 24, 2011; Revised March 27, 2012

The paper provides details about tests on six steel cones. Test models were machined from 250 mm diameter billet. All cones had substantial and integral top and bottom flanges in order to secure well defined boundary conditions. Experimental data were obtained for: (i) two cones subjected to axial compression, (ii) two cones subjected to external pressure, and (iii) the remaining two models subjected to combined action of external pressure and axial compression. Apart from axisymmetric modeling of tested cones, true geometry with true wall thickness was also used in calculations. Theoretical failure loads were obtained for: (i) elastic perfectly plastic, (ii) engineering stress–strain, and (iii) true stress–true strain modeling of steel. The latter approach coupled with measured geometry and wall thickness secured safe predictions of the collapse loads in all cases. Comparisons of experimental collapse loads with estimates given by ASME and ECCS design codes are included. It is seen here that the ASME and ECCS rules provide a safety margin of about 100% against the collapse (except 50% for axial compression in the case of the ECCS).

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References

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Figures

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Fig. 1

Possible applications of cones (reducer, submarine)

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Fig. 2

Geometry and photograph of a conical shell

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Fig. 3

Load–deflection curve and plastic strains

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Fig. 4

Load–deflection curve and plastic strains

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Fig. 5

Interactive diagram and three responses

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Fig. 6

Cutting of cones and round samples, R1 through R4

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Fig. 7

Stress–strain models

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Fig. 8

Scatter of wall thickness in cones CS6 through CS10

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Fig. 9

View of cone CS2 prior to testing

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Fig. 10

Photographs of failed cones

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Fig. 11

Interactive diagram, experimental data and design loads given by ASME and ECCS recommendations, Refs. [23,24-23,24]

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