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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2006, Volume4

214 pages

DOI: 10.1615/IntJMultCompEng.v4.i1

Issue price - $128.00

Multiscale Analysis of Adiabatic Shear Bands in Tungsten Heavy Alloy Particulate Composites

R. C. Batra
Department of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

B. M. Love
Department of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

ABSTRACT

We use a multiscale approach to analyze adiabatic shear bands in a tungsten heavy alloy particulate composite deformed in plane strain tension at a nominal strain rate of 5000/s. Fifty μm diameter circular tungsten particulates are assumed to be randomly distributed and perfectly bonded to the nickel-iron matrix. The volume fraction of particulates equals 50%. We first analyze transient coupled thermo-mechanical deformations of a homogenized body with values of thermophysical material parameters equivalent to those of the particulate composite. Time histories of deformation variables on the bounding surfaces of the centrally located 2 mm × 2 mm subregion of the 10 mm × 10 mm region are recorded. Boundary conditions of surface tractions and temperature rather than of velocities and temperature are then used to analyze plane strain coupled thermomechanical deformations of the 2 mm × 2 mm composite in which tungsten particulates are randomly distributed in the central 1 mm × 1 mm subregion of the 2 mm × 2 mm region with the remaining part comprised of the equivalent homogeneous material of the 10 mm × 10 mm body. It is found that the multiscale analysis of the problem gives an adiabatic shear band initiation time of ∼ 22 μs as compared to ∼ 58 μs in the equivalent homogenized body and ∼ 50 μs in the macroanalysis of deformations of the 1 mm × 1 mm region containing a randomly distributed 50% volume fraction of 50 μm diameter tungsten particulates.