STUDY ON THE INDENTATION BEHAVIORS OF BICRYSTALS BASED ON CRYSTAL PLASTICITY THEORY

doi:10.11900/0412.1961.2014.00335

Acta Metall Sin

2015, Vol. 51

Issue (1): 100-106 DOI: 10.11900/0412.1961.2014.00335

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STUDY ON THE INDENTATION BEHAVIORS OF BICRYSTALS BASED ON CRYSTAL PLASTICITY THEORY

YAN Wuzhu^1,², ZHANG Jiazhen^1,²(

), ZHOU Zhengong², YUE Zhufeng³

1 Beijing Aeronautical Science and Technology Research Institute of COMAC, Beijing 102211
2 Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080
3 Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710129

Cite this article:

YAN Wuzhu, ZHANG Jiazhen, ZHOU Zhengong, YUE Zhufeng. STUDY ON THE INDENTATION BEHAVIORS OF BICRYSTALS BASED ON CRYSTAL PLASTICITY THEORY. Acta Metall Sin, 2015, 51(1): 100-106.

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Abstract

In the past decades, the indentation test has been widely used to determine the mechanical properties of materials. For the micro- or nano- indentation, the indentation response is complex since only one or two grains can be indented by the indenter. In order to investigate the indentation behavior of the grain boundary, the crystal plasticity theory was implemented into finite element model to simulate the indentation behavior of single crystals and bicrystals. The stress distributions on the indented surface and grain boundary were obtained. The results showed that the crystallographic orientations of the neighboring grains had a remarkable influence on the depth-load response and the resolved shear stress distribution of the indented bicrystals. Under the indentation load, stress concentration occurred at the grain boundary, and the stress at the grain boundary increases with the increase of mis-orientation angle of the two neighboring grains.

Key words: indentation crystal plasticity single crystal bicrystal grain boundary finite element

ZTFLH:

TG111.91

Fund: Supported by National Natural Science Foundation of China (No.51271067)

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	Wuzhu YAN
	Jiazhen ZHANG
	Zhengong ZHOU
	Zhufeng YUE

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https://www.ams.org.cn/EN/10.11900/0412.1961.2014.00335 OR https://www.ams.org.cn/EN/Y2015/V51/I1/100

Fig.1 Schematic of the indentations performed on single crystal (a) and bicrystals (b) (R—radius of the indenter, P—indentation load)

Fig.2 Finite element mesh of the model

(a) mesh of the whole model (b) mesh of the indented area

Table 1 Euler angles of the grains

Fig.3 Effect of crystallographic orientation on the propagation of indentation depth with applied load P

Mechanical parameter	Value	Unit
Poisson′s ratio n	0.33
Young′s modulus E	210	GPa
Shear modulus G	83	GPa
Strain rate sensitivity exponent m	0.02
Reference shear rate $γ ˙ 0 (α)$	0.03	s^-¹
Initial resolved shear stress t₀	500	MPa
Hardening law parameter h₀	600	MPa
Saturation resolved shear stress t_s	585	MPa
Hardening law parameter AA	1.3
Reference strain rate G_a₀	300	MPa

Table 2 Mechanical properties of nickel-based single crystal superalloy DD3^[23]

Fig.4 Depth-load curves of single crystals and bicrystals

(a) Cases A, B and D

(b) Cases A, C and E

Fig.5 Resolved shear stress distributions on the indented surface for Case A (a), Case B (b) and Case C (c)

Fig.6 Resolved shear stress distributions on the indented surface for Case D (a), Case E (b) and Case F (c)

Fig.7 Distributions of resolved shear stress on the plane of x=0 for Case D (a), Case E (b) and Case F (c)

Fig.8 Resolved shear stress distributions at the grain boundary (y=0) for Case D (a), Case E (b) and Case F (c)

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