Abstract
A model of an elastic solid in the form of a system of elastically connected rigid elements is proposed. It is shown that the long–range interaction should be taken into account. The mathematical model proposed is, in essence, the physical model of a solid, which substantially broadens the range of its application.
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REFERENCES
L. M. Minkevich, “Calculation of vibrations of thin plates by partitioning into elastically connected undeformable units,” Prikl. Mekh. Tekh. Fiz., 39, No. 5, 159–168 (1998).
G. Leibfrid, Microscopic Theory of Mechanical and Thermal Properties of Crystals [in Russian], Fizmatgiz, Moscow (1963).
I. Ya. Birger and Ya. G. Panovko (eds.), Strength, Stability, and Vibrations, Handbook [in Russian], Vol. 1, Mashinostroenie, Moscow (1968).
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Minkevich, L.M. Distinguishing Features of One Model of an Elastic Solid Associated with the Long–Range Interaction at the Molecular Level. Journal of Applied Mechanics and Technical Physics 41, 1064–1069 (2000). https://doi.org/10.1023/A:1026606706502
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DOI: https://doi.org/10.1023/A:1026606706502