Abstract
We study thermomechanical deformations of a viscoplastic body deformed in plane strain compression at a nominal strain-rate of 5000 sec-1. We develop a material model in which the second order gradients of the velocity field are also included as kinematic variables and propose constitutive relations for the corresponding higher order stresses. This introduces a material characteristic length l, in addition to the viscous and thermal lengths, into the theory. It is shown that the computed results become mesh independent for l greater than a certain value. Also, the consideration of higher order velocity gradients has a stabilizing effect in the sense that the initiation of shear bands is delayed and their growth is slower as compared to that for nonpolar (l=0) materials.
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Communicated by S. N. Atluri, 7 March 1994
This work was supported by the u.S. Army Research Office grant DAAL03-91-G-0084 and the NSF grant MSS9121279 to the University of Missouri-Rolla. Some of the computations were performed on the Ohio Supercomputer center in Columbus, Ohio
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Batra, R.C., Hwang, J. Dynamic shear band development in dipolar thermoviscoplastic materials. Computational Mechanics 14, 354–369 (1994). https://doi.org/10.1007/BF00350005
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DOI: https://doi.org/10.1007/BF00350005