Approximate Analysis for the Formation of Adiabatic Shear Bands
Abstract
Parametric solutions are given for the formation of adiabatic shear bands in the context of the one-dimensional, nonlinear theory where inertia and elasticity are ignored. When heat condition is also ignored, the exact solution reduces completely to a sequence of quadratures. For a perfectly plastic material with heat conduction, an implicit parametic solution is also constructed. This is similar to the previous one in many ways, but now it involves two quadratures; a single nonautonomous, first-order ODE; and two functions that obey heat equations. This solution appears to be very accurate (compared to the full-finite element solution) until the time of stress collapse. Results indicate that for weak rate hardening of the power-law type, intense localization depends strongly on the initial characteristics. Within the context of rigid/perfect plasticity, a scaling law for the critical strain is given, and a figure of merit is defined that ranks materials according to their tendency to form adiabatic shear bands. (JG)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1990
- Accession Number
- ADA218751
Entities
People
- Thomas W. Wright
Organizations
- Ballistic Research Laboratory