Abstract
Problems concerning elastic bodies which contain multiple cracks are of obvious importance because the structural behavior of solids is strongly influenced by the presence of cracks. Solids containing cracks are weaker mechanically, not merely because at certain levels of applied loads the concentrated stresses at the crack tips may cause the crack to propagate and lead to fracture, but also because at lower stress levels the magnitudes of the elastic constants of the material can be significantly reduced by the presence of the cracks. Further, if the cracks are arranged in a preferred orientation, the elastic response of the body can be highly anisotropic.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Koiter, W.T.r An Infinite Row of Collinear Cracks in an Infinite Elastic Sheet, Ingenieur-Archiv., 28, 163–172 (1959).
Paris, P.C., Sih, G.C.: Stress Analysis of Cracks, Symposium on Fracture Toughness Testing and Its Applications, STP 381, American Society for Testing Materials, Philadelphia, 30-83(1965).
Louat, N.: The Distribution of Dislocations in Stacked Linear Arrays, Philosoph. Magazine, 8, No. 91, 1219–1224(July 1963).
Koiter, W.T.: An Infinite Row of Parallel Cracks in an Infinite Elastic Sheet, Problems in Continuum Mechanics, English ed., (Radok, J.E.M., ed.), Society for Industrial and Applied Mathematics, Philadelphia, 246-259(1961).
Ichikawa, M., Ohashi, M., Yokobori, T.: Interaction between Parallel Cracks in an Elastic Solid and Its Effect on Fracture, Reports of the Research Institute for Strength and Fracture of Materials, Tohoku Univ., Sendai, 1, No. 1, 1–14(May 1965).
Benthem, J.P., Koiter, W.T.: Asymptotic Approximations to Crack Problems, Mechanics of Fracture, Vol. 1: Methods of Analysis and Solutions of Crack Problems (Sih, G.C., ed.), pp.131–178. Leyden: Noordhoff. 1973.
Bilby, B.A., Eshelby, J.D.: Dislocations and Theory of Fracture, Fracture: An Advanced Treatise (Liebowitz, H., ed), Vol. 1, pp. 99–182. New York: Academic Press. 1968.
Delameter, W.R., Herrmann, G.: Weakening of an Elastic Solid by a Rectangular Array of Cracks, Stanford University SUDAM Report 73-2.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag Wien
About this paper
Cite this paper
Delameter, W.R., Herrmann, G. (1974). Weakening of Elastic Solids by Doubly-Periodic Arrays of Cracks. In: Zeman, J.L., Ziegler, F. (eds) Topics in Applied Continuum Mechanics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4188-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-7091-4188-5_8
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81260-0
Online ISBN: 978-3-7091-4188-5
eBook Packages: Springer Book Archive