Abstract
We consider the first and second primal problems of the axisymmetric theory of elasticity for space with a round slit and a mixed problem in which forces are specified on one side of the slit and displacements are specified on the other side. The problems reduce to conjugation problems for generalized analytic functions on rectilinear segments, whose solution is obtained in closed form.
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References
A. Ya. Aleksandrov and Yu. I. Solov'ev,Spatial Problems of the Theory of Elasticity [in Russian], Nauka, Moscow (1978).
A. A. Kapshivyi and G. F. Maslyuk, “Solution of the mixed axisymmetric elastic problem for half-space by the method ofp-analytic functions,”Prikl. Mekh.,3, No. 7, 21–27 (1967).
N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, Holland (1953).
Additional information
Institute of Applied Mechanics, Russian Academy of Sciences, Moscow 117334. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 1 pp. 144–151, January–February, 2000.
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Smirnov, L.G. Some primal problems of the axisymmetric theory of elasticity for space with a flat slit bounded by a circle. J Appl Mech Tech Phys 41, 131–138 (2000). https://doi.org/10.1007/BF02465247
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DOI: https://doi.org/10.1007/BF02465247