We proposed an eccentric ellipse criterion to describe the failure of amorphous materials under a combination of normal stress σ and shear stress τ. This criterion can reflect a tension–compression strength asymmetry, and unify four previous failure criteria in the σ–τ 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-shear failure regimes using the results from our atomistic simulations for two typical amorphous CuZr and LiSi, and recent tension–torsion 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-shear failure of amorphous materials.
An Eccentric Ellipse Failure Criterion for Amorphous Materials
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Beijing 100084, China
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 19, 2017; final manuscript received May 31, 2017; published online June 14, 2017. Editor: Yonggang Huang.
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Ding, B., and Li, X. (June 14, 2017). "An Eccentric Ellipse Failure Criterion for Amorphous Materials." ASME. J. Appl. Mech. August 2017; 84(8): 081005. https://doi.org/10.1115/1.4036943
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