Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
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Author(s)
Hoo Fatt, Michelle S.
Wierzbicki, Tomasz
Moussouros, Minos
Koenig, John
Date Issued
January 1996
Journal
Shock and Vibration
Publisher
Hindawi Publishing Corporation
Citation
Hoo Fatt, Michelle S., Tomasz Wierzbicki, Minos Moussouros, and John Koenig. “Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading.” Shock and Vibration 3, no. 3 (1996): 169–181. © 1996 by John Wiley & Sons, Inc.
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Final published version
Abstract
A theoretical approach was developed for predicting the plastic deformation of a cylindrical shell subject to asymmetric dynamic loads. The plastic deformation of the leading generator of the shell is found by solving for the transverse deflections of a rigid-plastic beam/string-on-foundation. The axial bending moment and tensile force in the beam/string are equivalent to the longitudinal bending moments and membrane forces of the shell, while the plastic foundation force is equivalent to the shell circumferential bending moment and membrane resistances. Closed-form solutions for the transient and final deformation profile of an impulsive loaded shell when it is in a “string” state were derived using the eigenfunction expansion method. These results were compared to DYNA 3D predictions. The analytical predictions of the transient shell and final centerline deflections were within 25% of the DYNA 3D results.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Ocean Engineering
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DOI of Published Version
https://doi.org/10.3233/SAV-1996-3303
