PLASTIC BEHAVIOR OF SHALLOW SPHERICAL SHELLS UNDER LARGE BENDS,

Abstract

It is known that the real carrying capacity of shells may exceed considerably the value of theoretically calculated maximum loads because such calculations do not take into account the changes in geometry during the deformation process as well as the contribution of membrane forces. Consequently, the carrying capacity of shallow, spherical shells subjected to a uniform internal pressure has been studied theoretically assuming a rigid/plastic shell without reinforcement, which obeys the Tresca's plasticity condition, and the associated yield law. The deflections are not greater than the thickness of the shell, and initially there exists a momentless state at the center of the shell. An increasing load brings about a rapid widening of the momentless zone and for a bending of the order of shell thickness all moments are concentrated within a narrow region in the vicinity of the supports. The corresponding load differs by only about one percent from that corresponding to the membrane momentless solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 07, 1969
Accession Number
AD0696547

Entities

People

  • M. Duszek

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Deflection
  • Geometry
  • Internal Pressure
  • Mathematics
  • Membranes
  • Payload
  • Physical Properties
  • Plastic Properties
  • Thickness

Readers

  • Structural Dynamics.