Abstract
An exact solution to the problem of tension of a one-dimensional chain formed by harmonic oscillators is found, and the results obtained are used to derive the relationship for the Young’s modulus as a function of the number of particles on the scale of averaging. It is revealed that, in the case of quasi-static loading, a nonuniform temperature distribution is formed in a material. The temperature distributions are calculated for different types of loading. The dynamics of a one-dimensional chain of nonlinear oscillators interacting through the Lennard-Jones potential is investigated numerically. It is demonstrated that the dynamics is chaotic in character and leads to an ill-conditioning of the model.
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Original Russian Text © M.A. Guzev, Yu.G. Izrail’skii, M.A. Shepelov, N.A. Permyakov, 2008, published in Fizika i Khimiya Stekla.
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Guzev, M.A., Izrail’skii, Y.G., Shepelov, M.A. et al. Structure and chaos of a one-dimensional molecular system. Glass Phys Chem 34, 394–400 (2008). https://doi.org/10.1134/S1087659608040081
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DOI: https://doi.org/10.1134/S1087659608040081