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.
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August 2017
Research-Article
An Eccentric Ellipse Failure Criterion for Amorphous Materials
Bin Ding,
Bin Ding
Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
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Xiaoyan Li
Xiaoyan Li
Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: xiaoyanlithu@tsinghua.edu.cn
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: xiaoyanlithu@tsinghua.edu.cn
Search for other works by this author on:
Bin Ding
Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Xiaoyan Li
Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: xiaoyanlithu@tsinghua.edu.cn
Department of Engineering Mechanics,
Centre for Advanced Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: xiaoyanlithu@tsinghua.edu.cn
1Corresponding author.
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.
J. Appl. Mech. Aug 2017, 84(8): 081005 (7 pages)
Published Online: June 14, 2017
Article history
Received:
May 19, 2017
Revised:
May 31, 2017
Citation
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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