Propagation of Nanoscale Microcrack Under Disturbance Strain at Different Temperatures: Phase-Field-Crystal Model

doi:10.19596/j.cnki.1001-246x.8509

Abstract

Abstract:

A phase-field-crystal model is used to simulate microcrack growth under disturbance strain. Influences of disturbance frequency and temperature on growth behavior and stability of microcrack are discussed. It shows that: ① Fracture mode is affected by temperature of the system under certain conditions. ② Influence of disturbance frequency on crack propagation behavior is affected by temperature of the system. ③ Stability of crack decreases firstly and then increases with the increase of disturbance frequency. The increase of temperature leads to the decrease of crack stability.

Key words: phase-field-crystal, disturbance strain, temperature, microcrack

Jianwei LI, Xuan XIANG, Jingdong WANG, Shi HU, Zheng CHEN, Yuanhua HE. Propagation of Nanoscale Microcrack Under Disturbance Strain at Different Temperatures: Phase-Field-Crystal Model[J]. Chinese Journal of Computational Physics, 2022, 39(6): 717-726.

Figures/Tables 7

Fig.1 (a) Two-dimensional phase diagram calculated with one-mode approximation; (b) A schematic of the orientation between the crack and the lattice (The blue hexagon box signifies the triangular lattice. The green square box indicates the crack. The dimensions are relatively adjusted to facilitate analysis.); (c) illustration of the initial simulation system(Green and white regions indicate triangular lattice and central crack, respectively.)

Table 1 Parameters of the simulation systems

体系	温度r	频率ω /(10^-5Δt^-1)	体系	温度r	频率ω /(10^-5Δt^-1)	体系	温度r	频率ω /(10^-5Δt^-1)
A₁	-1.0	无扰动	A₂	-0.8	无扰动	A₃	-0.6	无扰动
B₁	-1.0	0.2	B₂	-0.8	0.2	B₃	-0.6	0.2
C₁	-1.0	2	C₂	-0.8	2	C₃	-0.6	2
D₁	-1.0	20	D₂	-0.8	20	D₃	-0.6	20
E₁	-1.0	200	E₂	-0.8	200	E₃	-0.6	200
F₁	-1.0	2 000	F₂	-0.8	2 000	F₃	-0.6	2 000

Fig.2 (a) Strain distribution pattern of system A1 at n = 27 000; (b) Morphology of system A1 at n = 27 000 (The inset is a local morphology around the central crack at n = 60 000.); (c) Morphology of system C1 at n = 13 000 (The inset is a local morphology around the central crack at n = 40 000.); (d) Morphology of system C1 at n = 57 000; (e) Morphology of system D1 at n = 45 000; (f) Morphology of system D1 at n = 60 000; (g) Morphology of system E1 at n = 60 000; (h) Morphology of system F1 at n = 67 000 (The extra half planes of atoms are indicated by the red lines.)

Fig.3 (a) Morphology of system B2 at n = 38 000 (The red lines indicate extra half planes of atoms.); (b) Morphology of system B2 at n = 55 000; (c) Morphology of system C2 at n = 30 000 (The black arrows indicate crack propagation direction.); (d) Strain distribution pattern of system C2 at n = 18 000; (e) Morphology of system C2 at n = 57 000; (f) Morphology of system D2 at n = 60 000; (g) Morphology of system E2 at n = 60 000; (h) Morphology of system F2 at n = 60 000

Fig.4 (a) Morphology of system A3 at n = 50 000; (b) Morphology of system B3 at n = 43 000; (c) Morphology of system C3 at n = 49 000; (d) Morphology of system D3 at n = 51 000; (e) Morphology of system E3 at n = 50 000; (f) Morphology of system F3 at n = 51 000

Table 2 Crack propagation modes of simulated systems

体系	裂纹扩展模式	体系	裂纹扩展模式	体系	裂纹扩展模式
A₁	脆性扩展	A₂	脆性扩展	A₃	韧性扩展
B₁	脆性扩展	B₂	韧性扩展	B₃	韧性扩展
C₁	韧性扩展	C₂	韧性扩展	C₃	韧性扩展
D₁	韧性扩展	D₂	韧性扩展	D₃	韧性扩展
E₁	韧性扩展	E₂	韧性扩展	E₃	韧性扩展
F₁	韧性扩展	F₂	韧性扩展	F₃	韧性扩展

Fig.5 Time step number at which the central crack beginning to lose stability under different disturbance frequencies and system temperatures

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