Accession Number:

ADA218751

Title:

Approximate Analysis for the Formation of Adiabatic Shear Bands

Descriptive Note:

Memorandum rept.

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1990-01-01

Pagination or Media Count:

42.0

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 rigidperfect 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

Subject Categories:

  • Plastics
  • Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE