AN ANALYSIS OF COMBINED LONGITUDINAL AND TORSIONAL PLASTIC WAVES IN A THIN-WALLED TUBE
Abstract
This paper presents a one-dimensional rate independent theory of combined longitudinal and torsional plastic wave propagation in a thin-walled cylindrical tube. The tube material is assumed to behave as an isotropic work- hardening, elastic-plastic solid, for which the stress-strain curve in simple tension is a smooth curve, concave toward the strain axis. The resulting equations are shown to yield two wave speeds, sub f and sub s, which satisfy the inequalities sub 2 < sub f < sub o and sub s < sub 2 where sub 2 is the elastic shear wave velocity and sub o is the elastic bar velocity. The solution is given for combined longitudinal and torsional step loading of a semi-infinite tube, which is initially at rest and either unstressed or statically pre- stressed to arbitrary values of normal stress and shear stress. The solution consists of adjoining centered simple wave solutions and constant state solutions. There are two types of simple wave solutions corresponding to the two wave speeds sub f and sub s. The stress paths in stress-space associated with these two types of simple waves form an orthogonal network.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1966
- Accession Number
- AD0634701
Entities
People
- R. J. Clifton
Organizations
- Brown University