Investigation of the relationship between primary and secondary shear bands induced by indentation in bulk metallic glasses
type: Item
instance of: scholarly article
title: Investigation of the relationship between primary and secondary shear bands induced by indentation in bulk metallic glasses
zbMATH Open document ID: 1263.74019
author: Kuan-Wei Chen
author: Jen-Fin Lin
published in: International Journal of Plasticity
publication date: 2012-01-03T00:00:00Z
review text: The paper develops an analytical model capable to predict the positions both of primary shear band (PSB) and of secondary shear band (SSB) circles formed in Vickers indentations of bulk metallic Zr-based bulk metallic glasses (BMG). The analytical model is based on the force balance for an arbitrary PSB annulus and Johnson's cavity model in contact mechanics. It is shown that the ratio of the \(n\)-th shear band radius to the half-diagonal contact length is a constant factor, which depends on the material properties, when the specimen starts to yield and form a shear band circle. At the same time, the radius of the SSB circles is \(\sqrt2\) times as large as that of the PSB circle. In order to investigate the SSB circle, the Tresca criterion is used together with the assumption that the SSB circles form right angle at the two intersection points. The presented experimental results show a good agreement with the two kinds of shear band circles. The obtained results also show that the radius ratio of any two adjacent PSB circles is approximately a constant value. Moreover, it is shown that the formation of shear bands in the Zr-based BMG is dominated rather by cracking than by crystallization. The present model can be applied to predict the shear band behavior precisely if the radius of the PSB circle is evaluated on the basis of a stationary origin point.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74M15
zbMATH DE Number: 5994159
zbMATH Keywords: microcracking
zbMATH Keywords: Vickers indentation
zbMATH Keywords: force balance
zbMATH Keywords: Tresca-criterion
reviewed by: Ivan A. Parinov
MaRDI profile type: Publication
full work available at URL: j.ijplas.2010.03.003
OpenAlex ID: W2016990410
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DOI: 10.1016/J.IJPLAS.2010.03.003
description: scientific article; zbMATH DE number 5994159