Abstract
The problem of collinear periodic cracks in an anisotropic medium is examined in this paper. By means of Stroh formalism and the conformal mapping method, we obtain general periodic solutions for collinear cracks. The corresponding stress intensity factors, crack opening displacements and strain energy release rate are found.
Similar content being viewed by others
References
R.C.J., Howland, Proceedings, Royal Society London A148 (1935) 471–491.
B.L., Karihaloo, Engineering Fracture Mechanics 12 (1979) 49–77.
N.I., Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Groningen (1953).
Lu Jianke and Chai Haitao, The Periodic Problems of Plane Elasticity, Hunan Press (1986) in Chinese.
Chyanbin, Hwu, International Journal of Fracture 52 (1991) 239–256.
Zhigang, Suo, Proceedings, Royal Society London A427 (1990) 331–358.
A.N., Stroh, Philosophical Magazine 3 (1958) 625–646.
A.N., Stroh, Journal of Mathematical Physics 41 (1962) 77–103.
T.C.T., Ting, Physica Status Solidi B146 (1988) 81–90.
T.C.T., Ting, International Journal of Solids and Structures 18 (1982) 139–152.
Chyanbin, Hwu and T.C.T., Ting, Quarterly Journal of Mechanics and Applied Mathematics 42 (1989) 553–572.
Qianqian, Li and T.C.T., Ting, Journal of Applied Mechanics 56 (1989) 556–563.
P., Chadwick and G.C., Smith, Advanced Applied Mechanics 17 (1977) 303–376.
D.M., Barnett and J., Lothe, Journal of Physics F4 (1974) 1618–1624.
D.M., Barnett, J., Lothe, K., Nishioka and R.J., Asaro, Journal of Physics F3 (1973) 1083–1096.
R.J., Asaro, J.P., Hirth, D.M., Barnett and J., Lothe, Physica Status Solidi B60 (1973) 261–271.
W.T., Koiter, Ingenieur Archiv 28 (1959) 168–172.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yiantai, H., Xinghua, Z. Collinear periodic cracks in an anisotropic medium. Int J Fract 76, 207–219 (1996). https://doi.org/10.1007/BF00048287
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00048287