CRACK PROPAGATING IN FUNCTIONALLY GRADED COATING WITH ARBITRARILY DISTRIBUTED MATERIAL PROPERTIES BONDED TO HOMOGENEOUS SUBSTRATE

• Published in: Acta mechanica solida Sinica Vol. 23; no. 5; pp. 437 - 446
• Main Authors: Cheng, Zhanqi, Gao, Danying, Zhong, Zheng
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.10.2010; Springer Singapore; School of Civil Engineering,Zhengzhou University,Zhengzhou 450001,China%School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
• Subjects: Bonding; Boundaries; Classical Mechanics; Coating; dynamical stress intensity factors; Engineering; Fracture mechanics; functionally graded material; Functionally gradient materials; Mathematical analysis; Mathematical models; moving crack; multi-layered model; Propagation; Singular integral equations; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; 任意分布; 功能梯度涂层; 数值求解; 涂层材料; 粘接性能; 裂纹扩展; dynamical stress intensity factors; multi-layered model; functionally graded material; moving crack
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(10)60046-8

In this paper, a finite crack with constant length (Yoffe type crack) propagating in a functionally graded coating with spatially varying elastic properties bonded to a homogeneous substrate of finite thickness under anti-plane loading was studied. A multi-layered model is employed to model arbitrary variations of material properties based on two linearly-distributed material compliance parameters. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Some numerical examples are given to demonstrate the accuracy, efficiency and versatility of the model. The numerical results show that the graded parameters, the thicknesses of the interfacial layer and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.