首页|基于分布位错法对涂层裂纹力学行为的研究

基于分布位错法对涂层裂纹力学行为的研究

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目的 在单轴拉伸载荷下,用理论方法求解弹性涂层中裂纹的力学性质和相互影响.方法 根据叠加原理,将问题分为2个子问题,使用分布位错原理求解裂纹问题,将裂纹建模为沿裂纹线分布的位错阵列,叠加后使用数值求解方法进行求解.结果 得到了不同涂层模量、不同裂纹长度下表面裂纹尖端的应力强度因子(SIF)和涂层界面应力.涂层与基底模量相差越大,表面裂纹越长,其界面应力越大.计算了不同方位下的微裂纹对表面裂纹的影响,给出了 60°倾角微裂纹、2l/h=0.2和2l/h=0.04表面裂纹以及2a/h=0.01和2a/h=0.018表面裂纹的影响区域.分析了涂层内部倾斜裂纹对表面裂纹应力强度因子和扩展角的影响.内部倾斜裂纹尖端对表面裂纹尖端的等效应力强度因子(ESIF)有增强作用,两侧有减弱作用.结论 较硬涂层对表面裂纹的扩展有增强作用,裂纹越长,受涂层模量对其应力强度因子的影响越大.微裂纹对表面裂纹的影响跟微裂纹位置、方向、长度和表面裂纹长度有关.表面裂纹附近的倾斜裂纹对表面裂纹的扩展具有吸引作用.
Mechanical Behavior of Coating Cracks Based on Distributed Dislocation Method
In the preparation of coating materials,defects such as pores and microcracks are often produced in the coating and the interface,and the propagation of cracks in the coating is a way of coating failure.In this paper,the mechanical properties and interaction of surface cracks and inner cracks in elastic coatings under uniaxial tensile load are solved theoretically.The method is also suitable for multiple cracks.According to the superposition principle,the problem becomes two sub-problems.The distributed dislocation principle was adopted for the crack problem.After superposition,the integral equation was solved by numerical solution method,and the dislocation density function was solved.The stress intensity factor(SIF)at the crack tip was calculated by interpolation method,and the propagation direction of the crack was calculated by maximum circumferential stress theory.The stress field of the model was obtained by substituting the dislocation density function back into the integral equation under global coordinates.The method was verified by setting the same modulus of the coating and the substrate and degrading the model to an infinite semi-planar sub-surface crack problem.The SIF at the surface crack tip and the stress at the coating interface were calculated under different coating moduli and crack lengths.The effect of the microcrack on the SIF of the surface crack tip at any point was calculated,and the affecting zones of the microcrack with 60° inclination angle,the surface crack with 2l/h=0.2 and 2l/h=0.04,and the microcrack with 2a/h=0.01 and 2a/h=0.018 were given.Finally,the effect of the inner inclined crack on the SIF and the propagation direction of the surface crack tip were analyzed,and the possible propagation direction of the surface crack was given.According to the data analysis,the SIF of the surface crack tip at the coating harder than the substrate was larger,which enhanced the crack propagation,and that at the coating softer than the substrate was opposite.The longer the surface crack was,the greater the effect of the coating modulus on the SIF was.In the region below the surface crack of the soft coating and on both sides of the hard coating,the interfacial crack was easier to initiate.The larger difference between the moduli of the coating and the substrate,the longer the surface crack,the easier crack initiation at the interface,and the surface micro-crack had little effect on the interface.The effect of microcracks on the surface cracks was mainly concentrated in the two similar butterfly wing regions above and below the surface crack tip.The inclined microcrack made the affecting zone decrease and rotate,while the short surface crack and relatively long microcrack had a large affecting zone.The inner inclined crack tip enhanced the equivalent stress intensity factor(ESIF)of the surface crack tip,while the crack of two sides weakened the ESIF of the surface crack tip.In conclusion,the inner crack on both sides of the surface crack has an attractive effect on the propagation of the surface crack.When the internal crack is located below the surface crack,the propagation angle points to the crack plane.When the crack on the surface of the coating continues to expand,it is easier to form intersection with the crack on the left side and the lower side.

coating crackdistributed dislocationstress intensity factorinterfacial stresspropagation direction

吴金波、孙奇、江晓禹

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西南交通大学 力学与航空航天学院,成都 610031

涂层裂纹 分布位错 应力强度因子 界面应力 扩展方向

国家自然科学基金

11472230

2024

表面技术
中国兵器工业第五九研究所,中国兵工学会防腐包装分会,中国兵器工业防腐包装情报网

表面技术

CSTPCD北大核心
影响因子:1.39
ISSN:1001-3660
年,卷(期):2024.53(7)
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