Modelling the effect of shear strength on isentropic compression experiments

Author: 

Thomson, S
Howell, P
Ockendon, J
Ockendon, H

Publication Date: 

13 January 2017

Journal: 

AIP Conference Proceedings

Last Updated: 

2021-08-19T21:46:41.897+01:00

Volume: 

1793

DOI: 

10.1063/1.4971552

page: 

1-8

abstract: 

Isentropic compression experiments (ICE) are a way of obtaining equation of state information for metals undergoing violent plastic deformation. In a typical experiment, millimetre thick metal samples are subjected to pressures on the order of 10 – 102 GPa, while the yield strength of the material can be as low as 10−2 GPa. The analysis of such experiments has so far neglected the effect of shear strength, instead treating the highly plasticised metal as an inviscid compressible fluid. However making this approximation belies the basic elastic nature of a solid object. A more accurate method should strive to incorporate the small but measurable effects of shear strength. Here we present a one-dimensional mathematical model for elastoplasticity at high stress which allows for both compressibility and the shear strength of the material. In the limit of zero yield stress this model reproduces the hydrodynamic models currently used to analyse ICEs. Numerical solutions of the governing equations will then be presented for problems relevant to ICEs in order to investigate the effects of shear strength compared with a model based purely on hydrodynamics.

Symplectic id: 

691594

Submitted to ORA: 

Submitted

Publication Type: 

Conference Paper

ISBN-13: 

9780735414570