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Fracture of films caused by uniaxial tensions:a numerical model

Applied Mathematics and Mechanics(English Edition) 2023年第12期44卷 2093-2108页

作者： Chenxue JIA Zihao WANG Donghui ZHANG Taihua ZHANG Xianhong MENG School of Aeronautics and Astronautics University of Chinese Academy of SciencesBeijing 100049China Key Laboratory of Space Utilization Technology and Engineering Center for Space UtilizationChinese Academy of SciencesBeijing 100094China Aerospace Information Research Institute Chinese Academy of SciencesBeijing 100094China School of Aeronautic Science and Engineering Beihang UniversityBeijing 100191China

Surface cracks are commonly observed in coatings and films.When structures with coatings are subject to stretching,opening mode cracks are likely to form on the surface,which may further lead to other forms of damage,such as interfacial delamination and substrate damage.Possible crack forms include cracks extending towards the interface and channeling across the film.In this paper,a two-dimensional numerical model is proposed to obtain the structural strain energy at arbitrary crack lengths for bilayer structures under uniaxial tension.The energy release rate and structural stress intensity factors can be obtained accordingly,and the effects of geometry and material features on fracture characteristics are investigated,with most crack patterns being confirmed as unstable.The proposed model can also facilitate the analysis of the stress distribution in periodic crack patterns of films.The results from the numerical model are compared with those obtained by the finite element method(FEM),and the accuracy of the theoretical results is demonstrated.

关键词： surface crack numerical model stress intensity factor periodic crack finite element method(FEM)

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STRESS ANALYSIS FOR AN INFINITE STRIP WEAKNED BY periodic crackS

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Applied Mathematics and Mechanics(English Edition) 2004年第11期25卷 1298-1303页

作者：陈宜周 Division of Engineering Mechanics Jiangsu University Zhenjiang Jiangsu 212013 P.R.China

Stress analysis for an infinite strip weakened by periodic cracks is studied. The cracks were assumed in a horizontal position, and the strip was applied by tension “ p ' in y_ direction. The boundary value problem can be reduced into a complex mixed one. It is found that the EEVM ( eigenfunction expansion variational method) is efficient to solve the problem. The stress intensity factor at the crack tip and the T _stress were evaluated. From the deformation response under tension the cracked strip can be equivalent to an orthotropic strip without cracks. The elastic properties in the equivalent orthotropic strip were also investigated. Finally, numerical examples and results were given.

关键词： eigenfunction expansion variational method periodic crack stress intensity factor T- stress

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