Failure Analysis of a Certain Type of Hook Suspension Based on Cohesive Zone Model

doi:10.3969/j.issn.1004-132X.2025.09.004

Abstract

Abstract:

During the mount tests of a certain type of hook， Cd-Ti coating of latch was delaminated， and caused the latch slide downward， then the suspension might deflected， posing a risk of suspension detachment. A research on this risk was conducted. Based on cohesive zone model， a finite element model of the hook under load was established， incorporating predefined vertical cracks and interfacial cracks. The crack damage factor was employed to determine the crack failure modes， and a local contact model of the stop arm/latch was developed to investigate the variations in friction coefficient during coating interface debonding. Results reveal that during the hook's load-bearing processes， in-plane shear stress differences at the interfaces between the latch coating and the substrate induce interfacial debonding， without the formation of vertical cracks. Meanwhile， the friction coefficient at the contact interfaces temporarily drops below 0.05 during debonding， which is lower than the critical sliding friction coefficient required to prevent latch slippages.

Key words: hook, friction coefficient, coating, cohesive zone model, debonding damage

摘要：

针对某型挂钩在进行挂载试验时阻铁镉镀层脱落造成阻铁下滑而导致悬挂物悬挂姿态发生偏转甚至有掉落风险的问题展开研究。基于内聚力模型建立了预设垂直裂纹和界面裂纹的挂钩挂载有限元模型，通过裂纹损伤因子判定裂纹失效形式，并构建了止动臂/阻铁的局部接触模型，研究镀层界面脱黏过程中的摩擦因数变化情况。结果表明，在挂钩挂载过程中，阻铁镀层与基材在结合面处产生面内剪切应力差导致界面脱黏，但整个过程不产生垂直裂纹，同时在界面脱黏过程中接触面摩擦因数会短暂降低至0.05以下，低于阻铁下滑的临界滑动摩擦因数。

关键词: 挂钩, 摩擦因数, 镀层, 内聚力模型, 脱黏损伤

CLC Number:

TJ768.2

Zengwei LI, Zewei HOU, Jiawang HONG, Junyi QI. Failure Analysis of a Certain Type of Hook Suspension Based on Cohesive Zone Model[J]. China Mechanical Engineering, 2025, 36(9): 1934-1941.

李增伟, 侯泽伟, 洪家旺, 祁军义. 基于内聚力模型的某型挂钩悬挂失效分析[J]. 中国机械工程, 2025, 36(9): 1934-1941.

Figures/Tables 14

Fig.1 Hook-mounted suspended object status

Fig.2 Hyperbolic constitutive model

Fig.3 Coating hook grid information

Tab. 1 Parameters of zero-thickness cohesive zone model

参数	Ⅰ型裂纹^［21］	Ⅱ型裂纹^［22］
$T n n, T s s, T t t$ /MPa	均为18.50	均为46.50
$E n n, E s s, E t t$ /MPa	均为11.82	均为25.46
$G n n$ /（N·mm^-1）	0.58	0.94

Tab. 1 Parameters of zero-thickness cohesive zone model

参数	Ⅰ型裂纹^［21］	Ⅱ型裂纹^［22］
$T n n, T s s, T t t$ /MPa	均为18.50	均为46.50
$E n n, E s s, E t t$ /MPa	均为11.82	均为25.46
$G n n$ /（N·mm^-1）	0.58	0.94

Fig.4 Coating latch displacement information

Fig.5 Failure criterion for crack Ⅱ

Fig.6 Stress comparison of latch with and without coating

Fig.7 Stress variation in adjacent mesh elements at the coating interface

Fig.8 Local contact model of stop arm / latch

Fig.9 Variation of friction coefficient during delaminating process

Fig.10 Force diagram of the main load-bearing components when hook mounting

Fig.11 Relationship between critical friction coefficient and preload force of latch

Fig.12 Relationship between sliding displacement and friction coefficient of latch

Fig.13 Relationship between critical sliding friction coefficient and θ、α

References 22

[1]	胡冠杰，冯茜，尹中秋，等. 悬挂发射装置翻修质量控制工作探讨［J］. 航空维修与工程， 2021（12）：108-109.
	HU Guanjie， FENG Qian， YIN Zhongqiu， et al. Discussion on Quality Control for Renovation of Suspension Launcher［J］. Aviation Maintenance & Engineering， 2021（12）：108-109.
[2]	王乐，刘志洋. 机载武器悬挂投射装置［J］. 机械管理开发， 2009， 24（2）：40-42.
	WANG Le， LIU Zhiyang. Suspension， Releasing and Launching Systems of Airborne Weapon［J］. Mechanical Management and Development， 2009， 24（2）：40-42.
[3]	SHISODE M， HAZRATI J， MISHRA T， et al. Modeling Boundary Friction of Coated Sheets in Sheet Metal Forming［J］. Tribology International， 2021， 153：106554.
[4]	WANG Chen， ZHANG Jianjun， LE Kai， et al. Effect of Substrate Roughness and Contact Scale on the Tribological Performance of MoS2 Coatings［J］. Lubricants， 2023， 11（5）：191.
[5]	ZOU Yongchun， WANG Yaming， WEI Daqing， et al. In-situ SEM Analysis of Brittle Plasma Electrolytic Oxidation Coating Bonded to Plastic Aluminum Substrate：Microstructure and Fracture Behaviors［J］. Materials Characterization， 2019， 156：109851.
[6]	ROY D， SIMON G P， FORSYTH M， et al. Modification of Thermoplastic Coatings for Improved Cathodic Disbondment Performance on a Steel Substrate：a Study on Failure Mechanisms［J］. International Journal of Adhesion and Adhesives， 2002， 22（5）：395-403.
[7]	SRIRAMAN K R， BRAHIMI S， SZPUNAR J A， et al. Tribocorrosion Behavior of Zn， Zn-Ni， Cd and Cd-Ti Electrodeposited on Low Carbon Steel Substrates［J］. Surface and Coatings Technology， 2013， 224：126-137.
[8]	HUANG Hailiang， ZHANG Taifeng， BIAN Guixue， et al. Corrosion Behavior and Failure Mechanisms of Phosphating/Cd-Ti Composite Coating on A100 Steel under Acidic Salt Fog Conditions［J］. Surface and Coatings Technology， 2025， 501：131944.
[9]	AYYAGARI A， ALAM K I， BERMAN D， et al. Progress in Superlubricity across Different Media and Material Systems—a Review［J］. Frontiers in Mechanical Engineering， 2022， 8：908497.
[10]	CHEN Xiaohu， ZHANG Pingze， WEI Dongbo， et al. Tribological Behavior of Aluminum Slurry Coating on 300M Steel［J］. Journal of Materials Engineering and Performance， 2017， 26（8）：3719-3727.
[11]	ARIF KHALIL R M， HUSSAIN M I， LUQMAN N， et al. DFT-based Study of the Structural， Optoelectronic， Mechanical and Magnetic Properties of Ti3AC2 （A=P， As， Cd） for Coating Applications［J］. RSC Advances， 2022， 12（7）：4395-4407.
[12]	ZHAO Qiyue， WANG Haiyan， FAN Endian， et al. Insight into the Galvanic Corrosion Behavior of the LHE Cd-Ti 300 M Steel Coupled with TC4 Titanium Alloy in Different Atmospheric Environments［J］. Journal of Electroanalytical Chemistry， 2022， 923：116827.
[13]	ZHAO Qiyue， ZHAO Jinbin， CHENG Xuequn， et al. Galvanic Corrosion of the Anodized 7050 Aluminum Alloy Coupled with the Low Hydrogen Embrittlement CdTi Plated 300M Steel in an Industrial-marine Atmospheric Environment［J］. Surface and Coatings Technology， 2020， 382：125171.
[14]	TEKAYA A， GHULMAN H A， BENAMEUR T， et al. Cyclic Nanoindentation and Finite Element Analysis of Ti/TiN and CrN Nanocoatings on Zr-based Metallic Glasses Mechanical Performance［J］. Journal of Materials Engineering and Performance， 2014， 23（12）：4259-4270.
[15]	REZAEI S， WULFINGHOFF S， REESE S. Prediction of Fracture and Damage in Micro/Nano Coating Systems Using Cohesive Zone Elements［J］. International Journal of Solids and Structures， 2017， 121：62-74.
[16]	FENG J， QIN Y， LISKIEWICZ T W， et al. Crack Propagation of a Thin Hard Coating under Cyclic Loading：Irreversible Cohesive Zone Model［J］. Surface and Coatings Technology， 2021， 426：127776.
[17]	GEE B， PARCHEI-ESFAHANI M， GRACIE R. XFEM Simulation of a Mixed-mode Fracture Experiment in PMMA［J］. Engineering Fracture Mechanics， 2020， 229：106945.
[18]	黄智豪，王金彪，高浩宇，等. 基于内聚力模型的柔性屏贴附及影响因素［J］. 液晶与显示， 2022， 37（7）：840-848.
	HUANG Zhihao， WANG Jinbiao， GAO Haoyu， et al. Simulation and Influencing Factor of Flexible Screen Based on Cohesion Model［J］. Chinese Journal of Liquid Crystals and Displays， 2022， 37（7）：840-848.
[19]	DUGDALE D S. Yielding of Steel Sheets Containing Slits［J］. Journal of the Mechanics and Physics of Solids， 1960， 8（2）：100-104.
[20]	BARENBLATT G I. The Mathematical Theory of Equilibrium Cracks in Brittle Fracture［J］. Advances in Applied Mechanics， 1962， 7：55-129.
[21]	CHEN Xiaohu， ZHANG Pingze， WEI Dongbo， et al. Tribological Behavior of Aluminum Slurry Coating on 300M Steel［J］. Journal of Materials Engineering and Performance， 2017， 26（8）：3719-3727.
[22]	FERREIRA FERNANDES M， dos SANTOS J R M， de OLIVEIRA VELLOSO V M， et al. AISI 4140 Steel Fatigue Performance：Cd Replacement by Electroplated Zn-Ni Alloy Coating［J］. Journal of Materials Engineering and Performance， 2020， 29（3）：1567-1578.