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On Computational Modelling Of Strain-Hardening Material Dynamics

Published online by Cambridge University Press:  20 August 2015

Philip Barton  and
Evgeniy Romenski
Philip Barton*
Affiliation:
Graduate Aerospace Laboratories, California Institute of Technology, California 91125, USA
Evgeniy Romenski*
Affiliation:
Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk 630090, Russia
*
Corresponding author.Email:ptbarton@caltech.edu, phil.t.barton@gmail.com
Email:evrom@math.nsc.ru
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Abstract

In this paper we show that entropy can be used within a functional for the stress relaxation time of solid materials to parametrise finite viscoplastic strain-hardening deformations. Through doing so the classical empirical recovery of a suitable irreversible scalar measure of work-hardening from the three-dimensional state parameters is avoided. The success of the proposed approach centres on determination of a rate-independent relation between plastic strain and entropy, which is found to be suitably simplistic such to not add any significant complexity to the final model. The result is sufficiently general to be used in combination with existing constitutive models for inelastic deformations parametrised by one-dimensional plastic strain provided the constitutive models are thermodynamically consistent. Here a model for the tangential stress relaxation time based upon established dislocation mechanics theory is calibrated for OFHC copper and subsequently integrated within a two-dimensional moving-mesh scheme. We address some of the numerical challenges that are faced in order to ensure successful implementation of the proposedmodel within a hydrocode. The approach is demonstrated through simulations of flyer-plate and cylinder impacts.

Keywords

81.40.Ef83.85.St83.60.La81.40.Lm83.10.GrEntropyviscoplasticitysolid mechanicsrelaxation timeMaxwell solidEulerian
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 5 , May 2012 , pp. 1525 - 1546
Copyright
Copyright © Global Science Press Limited 2012

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