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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 1, Pages 37–42 (Mi vmumm4300)

Mechanics

Extension of a piecewise uniform composite rod

G. Z. Sharafutdinov

Lomonosov Moscow State University, Institute of Mechanics

Abstract: An exact analytical solution of the problem of stretching an infinitely long continuous round cylinder and an inextricably linked with it external hollow round cylinder, i.e., a composite rod, the component parts of which are made of elastic materials with different mechanical characteristics is obtained. In the development of the solution method, the previously proposed by the author approach to the problems of plane stress state in the spatial formulation, allowing in this case integrate the equilibrium equations in the finite form is used. Some information about the distribution of displacements and stresses in the rod is given.

Key words: theory of elasticity, axisymmetric problem, compound round rod, stretching, solution method, exact analytical solution.

UDC: 539.3

Received: 25.04.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:1, 1–6

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