A moving interface crack between two dissimilar functionally graded strips under plane deformation with integral equation methods

• Published in: Engineering analysis with boundary elements Vol. 36; no. 3; pp. 267 - 273
• Main Authors: Cheng, Zhanqi, Gao, Danying, Zhong, Zheng
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.03.2012; Elsevier
• Subjects: Boundaries; Boundary element method; Dynamical stress intensity factors; Exact sciences and technology; Fourier transformation; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Functionally graded material; Functionally gradient materials; Fundamental areas of phenomenology (including applications); Integral equations; Mathematical analysis; Mathematical models; Mathematics; Moving crack; Physics; Sciences and techniques of general use; Singular integral equation; Singular integral equations; Solid mechanics; Static elasticity (thermoelasticity...); Strip; Structural and continuum mechanics; Dynamical stress intensity factors; Singular integral equation; Moving crack; Fourier transformation; Functionally graded material; Singular system; Singular equation; Solid solid interface; Kinking; Rupture; Mechanical properties; Moving boundary; Modeling; Crack propagation; Stress intensity factor; Functionnally graded material; Plane strain; Crack length; Integral equation; Interface crack; Mixed problem; Dynamic load
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/j.enganabound.2011.09.015

In this paper a finite interface crack with constant length (Yoffe-type crack) propagating along the interface between two dissimilar functionally graded strips with spatially varying elastic properties under in-plane loading is studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the strip thickness and crack speed on the stress intensity factors and the probable kink angle are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strips and the crack speed have significant effects on the dynamic fracture behavior of functionally graded material structures.