Numerical Simulation of Coating Spalling on Barrel Based on Phase-field Coupled Cohesive Force Model

doi:10.12382/bgxb.2024.0227

Abstract

Abstract:

The coating on the inner chamber may peel off during the use of barrel, shortening the service life of barrel weapon. The mechanism behind this phenomenon is not yet clear. To study the phenomenon of coating peeling in the barrel of barrel weapons, A numerical simulation method for the phase-field model (PFM) coupling with the cohesive zone model (CZM) is proposed. Considering the superiority of continuous medium mechanical properties of PFM in crack propagation simulation and the universal applicability of CZM in multiphase material interface damage simulation. PFM is used to simulate the crack propagation behaviors inside the coating and substrate, while CZM is used to simulate the damage at the interface between the substrate and the coating. The finite element simulation is made for one crack and two cracks propagating at the interface to address the phenomenon of crack deflection, and the simulated results are compared with experimental data. The effects of different crack spacings on interface damage are studied,and the influence of phase-field characteristic length on crack propagation behavior is also discussed. The research results show that, when the crack extends to the interface between the substrate and the coating, it will turn to propagate to both sides along the interface, and eventually making the interface be failure; when multiple cracks propagate to the interface, the interface damage mainly occurs in the area between the multiple cracks, ultimately evolving into coating peeling. The crack spacing has an impact on the initial damage and the development rate of interface damage. The proposed numerical simulation method of the phase field coupled cohesive force model can serve as a computational method for studying the failure mechanism of barrel coatings.

Key words: barrel weapon, coating, phase-field model, cohesive zone model, finite element simulation

CLC Number:

TJ303.1

GAO Jian, ZOU Libo, YU Cungui. Numerical Simulation of Coating Spalling on Barrel Based on Phase-field Coupled Cohesive Force Model[J]. Acta Armamentarii, 2024, 45(11): 4081-4093.

Figures/Tables 28

Fig.1 Schematic diagram of a system with cracks

Fig.2 Crack deformation form

Fig.3 Bilinear cohesive model (BCM)

Table 1 Material parameters of substrate and coating

基体和镀层	E/GPa	ν	ρ/ (kg·mm^-3)	σ_t/ MPa	G_c/ (J·m^-2)
基体	214	0.31	7.89×10^-6	1080	2700
镀层	276.4	0.12	7.19×10^-6	1000	62.7

Table 2 Interface cohesion parameter

参数	数值
法向抗拉强度σ_t/MPa	50
剪切强度σ_s/MPa	75
罚刚度p_n/(N·m^-3)	1×10⁶
临界拉伸能量释放率G_ct/(J·m^-2)	25
临界剪切能量释放率G_cs/(J·m^-2)	37.5
B-K准则指数α	2.284

Fig.4 Geometric model of single crack

Fig.5 Single crack mesh model

Fig.6 Crack propagation

Fig.7 Enlarged view of local interface damage

Fig.8 Tensile test coating morphology

Fig.9 Nephograms of crack propagation stress

Fig.10 Enlarged view of local stress during crack propagation

Fig.11 Selected data extraction location

Fig.12 Damage at each location

Fig.13 Stress values at each location

Fig.14 Stress intensity factor at pre-crack tip

Fig.15 Coating peeling forming “pits”

Fig.16 Double crack coating tensile model

Fig.17 Double crack coating tensile model grid

Fig.18 Double crack model crack propagation

Fig.19 Nephograms of double crack model crack propagation stress

Fig.20 Multi-crack propagation topography

Fig.21 Finite element geometric model for multi-crack testing

Fig.22 Finite element calculation results of multi-crack test

Fig.23 Comparison of crack propagation with different phase field feature lengths

Fig.24 Displacement-load curves corresponding to different phase-field feature lengths

Fig.25 Calculated results in Ref.[20]

Fig.26 Interface damage under different crack spacings

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