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Mechanics of plastic flow past a narrow-angle wedge indenter

Sundaram, Narayan K (2019) Mechanics of plastic flow past a narrow-angle wedge indenter. In: PHILOSOPHICAL MAGAZINE, 99 (23). pp. 2883-2903.

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Official URL: http://dx.doi.org/10.1080/14786435.2019.1644462


The indentation of a metal specimen by a narrow-angle wedge produces extreme plastic deformation, with an effect akin to cutting into the metal. Simulation of such processes is challenging, and complicated by the need to model material separation along the indentation symmetry axis. Here we use an Arbitrary Lagrangian Eulerian (ALE) framework to enforce the symmetry boundary conditions (bcs) in their original, `strong' form, as well as conventional Lagrangian FE to impose the bcs in a complementary, `weak' form. Taken together these two cases, representing perfectly strong and perfectly weak interfaces, produce accurate bounds on the mechanical response for indentation by wedges with semi-apical angles as small as 15 degrees, and encompass intermediate cases that would require complicated models of ductile failure. The method accurately predicts the transition from the cutting pattern to the non-cutting (radially compressive) pattern as the apical angle is increased. In combination with Lagrangian particle tracking, the simulations reveal the deformation pattern as well as strain, strain-rate, and velocity fields in narrow angle indentation at high resolution. Interestingly, the strong form predicts a thin (tens of microns), near-wall layer of intense plastic strain, which has been observed recently in indentation experiments. With the exception of this feature, the strong and weak bc solutions are quite similar. The present approach reveals insights about plastic flow past narrow obstacles in a range of related problems including cone penetration and machining, and suggests using narrow-angle indentation as a way to probe material failure.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Taylor & Francis.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 12 Feb 2020 12:05
Last Modified: 12 Feb 2020 12:05
URI: http://eprints.iisc.ac.in/id/eprint/63407

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