Rigid-Plastic Approximations for Predicting Plastic Deformation of Cylindrical Shells Subject to Dynamic Loading
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1996
- Source ID
- 10.1155/1996/603430
Entities
People
- John Koenig
- Michelle S. Hoo Fatt
- Minos Moussouros
- Tomasz Wierzbicki
Organizations
- Massachusetts Institute of Technology
- Naval Ordnance Laboratory
- Office of Naval Research