Research Papers

The Temperature-Dependent Ideal Shear Strength of Solid Single Crystals

[+] Author and Article Information
Tianbao Cheng

Beijing Key Laboratory of Lightweight
Multi-Functional Composite Materials
and Structures,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: tbcheng@cqu.edu.cn

Daining Fang

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China

Yazheng Yang

State Key Laboratory of Explosion
Science and Technology,
Beijing Institute of Technology,
Beijing 100081, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received November 23, 2017; final manuscript received December 20, 2017; published online January 16, 2018. Editor: Yonggang Huang.

J. Appl. Mech 85(3), 031005 (Jan 16, 2018) (5 pages) Paper No: JAM-17-1650; doi: 10.1115/1.4038884 History: Received November 23, 2017; Revised December 20, 2017

Knowledge of the ideal shear strength of solid single crystals is of fundamental importance. However, it is very hard to determine this quantity at finite temperatures. In this work, a theoretical model for the temperature-dependent ideal shear strength of solid single crystals is established in the view of energy. To test the drawn model, the ideal shear properties of Al, Cu, and Ni single crystals are calculated and compared with that existing in the literature. The study shows that the ideal shear strength first remains approximately constant and then decreases almost linearly as temperature changes from absolute zero to melting point. As an example of application, the “brittleness parameter” of solids at elevated temperatures is quantitatively characterized for the first time.

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Grahic Jump Location
Fig. 1

The schematic for shear of crystals for sliding confined within one single layer of atoms. (Note that, here, simple cubic crystal structure is drawn as an example. This process is valid for all cubic crystals [9].)

Grahic Jump Location
Fig. 2

The normalized unstable and intrinsic stacking fault energies and surface free energy of Ni. (The data points for MD simulation results [10] are connected and extrapolated by linearity fitting of least square.)

Grahic Jump Location
Fig. 3

The ideal shear strengths of (a) Al, (b) Cu, and (c) Ni in {111}<112¯> slip system

Grahic Jump Location
Fig. 4

The “brittleness parameter” of Ni



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