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research-article

An Eccentric Ellipse Failure Criterion for Amorphous Materials

[+] Author and Article Information
Bin Ding

Centre for Advanced Mechanics and Materials, Applied Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
dingb12@mails.tsinghua.edu.cn

Xiaoyan Li

Centre for Advanced Mechanics and Materials, Applied Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
xiaoyanlithu@tsinghua.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4036943 History: Received May 19, 2017; Revised May 31, 2017

Abstract

We proposed an eccentric ellipse criterion to describe the tensile failure of amorphous materials under a combination of normal and shear stresses in 2D stress space. This criterion can reflect a tension-compression strength asymmetry, and unify four previous failure criteria in 2D stress space, including von Mises criterion, Drucker-Prager criterion, Christensen criterion and ellipse criterion. We examined the validity of the eccentric ellipse criterion in the tensile failure regimes using the results from our atomistic simulations for two typical amorphous CuZr and LiSi, and recent torsion-tension experiments on metallic glasses. The predictions from the eccentric ellipse criterion agree well with these results from atomistic simulations and experiments. It indicates that this eccentric ellipse criterion is essential for the tensile failure of amorphous materials.

Copyright (c) 2017 by ASME
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