Fracture of films caused by uniaxial tensions: a numerical model

• Published in: Applied mathematics and mechanics Vol. 44; no. 12; pp. 2093 - 2108
• Main Authors: Jia, Chenxue, Wang, Zihao, Zhang, Donghui, Zhang, Taihua, Meng, Xianhong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2023; Springer Nature B.V; School of Aeronautics and Astronautics,University of Chinese Academy of Sciences,Beijing 100049,China; Key Laboratory of Space Utilization,Technology and Engineering Center for Space Utilization,Chinese Academy of Sciences,Beijing 100094,China%Aerospace Information Research Institute,Chinese Academy of Sciences,Beijing 100094,China%School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Coatings; Cracks; Damage; Energy release rate; Finite element method; Fluid- and Aerodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Numerical models; Partial Differential Equations; Strain energy; Stress distribution; Stress intensity factors; Structural strain; Substrates; Surface cracks; Two dimensional models; 74S05; surface crack; numerical model; 74B05; stress intensity factor; O343; periodic crack; finite element method (FEM); 74K35; 35F15; finite element method(FEM)
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-023-3061-7

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.