Abstract
We study the stress state of hollow anisotropic rods bent by a force at the end. The complex potential is represented by a series in a specially constructed system of fundamental solutions of a suitable differential operator. As an example we consider the bending of a rod of square cross section with a centrally located square hole. Two figures. One table. Bibliography: 3 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
A. S. Kosmodamianskii,The Stress State of Anisotropic Media with Holes or Cavities [in Russian], Donetsk (1976).
M. A. Aleksidze,Fundamental Functions in Approximate Solutions of Boundary-value Problems [in Russian], Moscow (1991).
A. S. Kosmodamianskii and N. M. Neskorodev, “The method of superposition of complex solutions in two-dimensional problems of the theory of elasticity for multiconnected anisotropic bodies,”Dop. Nats. Akad. Nauk Ukr., No. 10, 52–55 (1995).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 44–48.
Rights and permissions
About this article
Cite this article
Kosmodamianskii, A.S., Neskorodev, R.N. Bending of an anisotropic rod with longitudinal cavities. J Math Sci 86, 3114–3116 (1997). https://doi.org/10.1007/BF02355707
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355707