On numerical implementation of an isotropic elastic-viscoplastic constitutive model for bulk metallic glasses

Tandaiya, Parag and Ramamurty, U and Narasimhan, R (2011) On numerical implementation of an isotropic elastic-viscoplastic constitutive model for bulk metallic glasses. In: Modelling and Simulation in Materials Science and Engineering, 19 (1).

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Abstract

An efficient algorithm within the finite deformation framework is developed for finite element implementation of a recently proposed isotropic, Mohr-Coulomb type material model, which captures the elastic-viscoplastic, pressure sensitive and plastically dilatant response of bulk metallic glasses. The constitutive equations are first reformulated and implemented using an implicit numerical integration procedure based on the backward Euler method. The resulting system of nonlinear algebraic equations is solved by the Newton-Raphson procedure. This is achieved by developing the principal space return mapping technique for the present model which involves simultaneous shearing and dilatation on multiple potential slip systems. The complete stress update algorithm is presented and the expressions for viscoplastic consistent tangent moduli are derived. The stress update scheme and the viscoplastic consistent tangent are implemented in the commercial finite element code ABAQUS/Standard. The accuracy and performance of the numerical implementation are verified by considering several benchmark examples, which includes a simulation of multiple shear bands in a 3D prismatic bar under uniaxial compression.

Item Type:	Journal Article
Publication:	Modelling and Simulation in Materials Science and Engineering
Publisher:	IOP Publishing ltd
Additional Information:	Copyright of this article belongs to IOP Publishing ltd.
Department/Centre:	Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited:	07 Feb 2011 10:22
Last Modified:	07 Feb 2011 10:22
URI:	http://eprints.iisc.ac.in/id/eprint/35009

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