Abstract
By use of the method of complex potentials, conformal mappings and least squares this problem is reduced to solving a system of linear algebraic equations with respect to the unknown constants that occur in the required functions. We describe the results of numerical studies of the variation of the stress intensity factors for cracks in an anisotropic half-plane under tension of the half-plane and force on its boundary.
Two figures, two tables. Bibliography: 7 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
S. A. Kaloerov, “The stressed state of an anisotropic half-plane with a finite number of elliptic holes,”Prikl. Mekh.,2, No. 10, 75–82 (1966).
S. A. Kaloerov, “Stress concentration in an anisotropic half-plane with two elliptic holes,”Prikl. Mekh.,4, No. 7, 83–89 (1968).
S. A. Kaloerov, “The stressed state of an anisotropic half-plane with elliptic holes located along the boundary,”Izv. Akad. Nauk Arm. SSR,22, No. 2, 29–38 (1969).
S. A. Kaloerov and E. V. Avdyushina, “Stress concentration in an anisotropic half-plane with holes and cracks,”Teoret. Prikl. Mekh., No. 27, 63–72 (1997).
S. G. Lekhnitskii,Anisotropic Plates [in Russian], Moscow (1957).
S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stressed state of a multiconnected anisotropic body with cavities and cracks,”Teoret. Prikl. Mekh., No. 25, 45–56 (1995).
E. K. Ashkenazi and E. V. Ganov,Anisotropy of Structural Materials [in Russian], Moscow (1980).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 28, 1998, pp. 57–61.
Rights and permissions
About this article
Cite this article
Avdyushina, E.V. The stress distribution in an anisotropic half-plane with two elliptic holes or cracks. J Math Sci 92, 4157–4160 (1998). https://doi.org/10.1007/BF02432659
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02432659