Abstract
The formulation and mathematically correct solution of a three-dimensional boundary value problem are given. A numerical calculation is presented for a prism of Canadian spruce and the displacement and stress fields are determined.
Similar content being viewed by others
Literature cited
S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body [in Russian], Gostekhteorizdat, 1950.
S. G. Mikhlin, Problems of the Minimum of a Quadratic Functional [in Russian], Gostekhteorizdat 1952.
Sekerzh-Zen'kovich, "Stability of a sheet of plywood treated as an anisotropic body," Tr. TsAGI, 76, 1931.
S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Gostekhteorizdat, 1957.
S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Izd-vo Nauka, 1966.
A. Zygmund, Trigonometric Series [Russian translation], Vol. 2, Mir, 1965.
L. S. Leibenzon, Variational Methods of Solving Problems of the Theory of Elasticity [in Russian], Gostekhizdat, 1943.
A. L. Rabinovich, "Elastic constants and strength of anisotropic materials," Tr. TsAGI, 582, 1946.
Additional information
M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, Vol. 4, No. 5, pp. 810–815, September–October, 1968.
Rights and permissions
About this article
Cite this article
Mal'tsev, L.E. Compression of an orthotropic prism. Polymer Mechanics 4, 649–653 (1968). https://doi.org/10.1007/BF00855794
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00855794