Abstract
Based on the mechanics of anisotropic materials, the dynamic propagation problem of a mode III crack in an infinite anisotropic body is investigated. Stress, strain and displacement around the crack tip are expressed as an analytical complex function, which can be represented in power series. Constant coefficients of series are determined by boundary conditions. Expressions of dynamic stress intensity factors for a mode III crack are obtained. Components of dynamic stress, dynamic strain and dynamic displacement around the crack tip are derived. Crack propagation characteristics are represented by the mechanical properties of the anisotropic materials, i.e., crack propagation velocity M and the parameter α. The faster the crack velocity is, the greater the maximums of stress components and dynamic displacement components around the crack tip are. In particular, the parameter α affects stress and dynamic displacement around the crack tip.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mott N F. Fracture of metals: theoretical considerations[J]. Engineering, 1948, 165(4275):16–18.
Yoffe E H. The moving Griffith crack[J]. Philosophical Magazine, 1951, 42(330):739–750.
Chen E P. Sudden appearance of a crack in a stretched finite strip[J]. Journal of Applied Mechanics, 1978, 45(2):270–280.
Baker B R. Dynamic stresses created by a moving crack[J]. Journal of Applied Mechanics, 1962, 29(4):449–458.
Freund L B. Dynamic crack propagation[J]. The Mechanics of Fracture ASME, 1976, 19(1):105–134.
Kassir M K, Tse S. Moving Griffith crack in an orthotropic material[J]. International Journal of Engineering Science, 1983, 21(4):315–325.
Arcisz M, Sih G C. Effect of orthotropy on crack propagation[J]. Theoretical and Applied Fracture Mechanics, 1984, 1(3):225–238.
Achenbach J D, Bazant Z P. Elastodynamic near-tip stress and displacement fields for rapidly propagating crack in orthotropic materials[J]. Journal of Applied Mechanics, 1975, 42(75):183–189.
Piva A, Viola E. Crack propagation in an orthotropic medium[J]. Engineering Fracture Mechanics, 1988, 29(5):535–548.
Viola E, Piva A, Radi E. Crack propagation in an orthotropic medium under general loading[J]. Engineering Fracture Mechanics, 1990, 34(5/6):1155–1174.
Lee Kwang-Ho, Hawong Jai-Sug, Choi Sun-Ho. Dynamic stress intensity factors and dynamic crack propagation characteristics of orthotropic material[J]. Engineering Fracture Mechanics, 1996, 53(1):119–140.
Xu Hongmin, Yao Xuefeng, Feng Xiqiao. Dynamic stress intensity factor K III and dynamic crack propagation characteristics of orthotropic material[J]. Engineering Mechanics, 2006, 23(10):68–72.
Yang Weiyang, Li Junlin, Zhang Xuexia. Complex function method on fracture of composite[M]. Beijing: Science Press, 2005, 55–56 (in Chinese).
Author information
Authors and Affiliations
Additional information
Communicated by GUO Xing-ming
Rights and permissions
About this article
Cite this article
Gao, X., Wang, Hg. & Kang, Xw. Dynamic stress intensity factor K III and dynamic crack propagation characteristics of anisotropic materials. Appl. Math. Mech.-Engl. Ed. 29, 1119–1129 (2008). https://doi.org/10.1007/s10483-008-0902-z
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-008-0902-z