THE VISCO-PLASTIC FLOW OF A LONG THICK TUBE UNDER INTERNAL PRESSURE
Abstract
A study is made of the behaviour of a long hollow circular cylinder, made of a rigid visco-plastic material and having its ends restrained from motion in the axial direction, when it is subjected to internal pressure. The basic problem of plane strain with rotational symmetry, being one of those which most readily yield to treatment in plasticity, is a standard problem in this field, and has been studied by investigators in a variety of different ways for the ideally plastic and the elastic plastic material. An analysis is made for an ideal material, a viscoplastic Bingham solid, which is undeformable until the stresses reach their yielding values, and then under stresses which are in excess of their yielding values, when the flow is not restricted by adjacent regions of nonplastic material, has strain velocities dependent on this stress excess or overstress. The material does not exhibit work hardening, and as it is known that in the fully plastic state, volume changes are negligible, it is assumed to be incompressible. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0259640
Entities
People
- Edmund J. Appleby
Organizations
- Brown University