Abstract
The article presents the calculation of stress fields that arise in cylindrical rods of circular cross section in the case of Pochhammer–Chree waves. Examples of calculating the fields for the four lowest wave modes in a steel rod for two cases of phase velocities are considered. The structures of the isostat of the principal stresses in the longitudinal section of the rod are constructed and considered. The fields of the first principal stress and von Mises stress are constructed.
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Acknowledgements
The author is grateful to Professor S. V. Kuznetsov and Professor Yu. N. Radayev for valuable advice. This work was supported by the RAS Program I.2.27 “Fundamental Problems of Solving Complex Practical Problems Using Supercomputers”.
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Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 5, pp. 86–103.
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Mokryakov, V.V. Maxima of the Stresses in the Longitudinal Pochhammer—Chree Waves. Mech. Solids 54, 1063–1075 (2019). https://doi.org/10.3103/S0025654419070070
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DOI: https://doi.org/10.3103/S0025654419070070