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We discuss dispersion relations for an infinite elastic rod considering some non-classical models of the continuum. Among the latter, we analyse classical and non-classical theories of bars, stress and strain gradient elasticity, nonlocal (integraltype) elasticity and peridynamics. A comparison of the dispersion relations for these models is given.

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On Dispersion Relations Within 1D Nonlocal Elasticity

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  • 发表日期：

    2025年

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  • Victor A. Eremeyev

摘要

We discuss dispersion relations for an infinite elastic rod considering some non-classical models of the continuum. Among the latter, we analyse classical and non-classical theories of bars, stress and strain gradient elasticity, nonlocal (integraltype) elasticity and peridynamics. A comparison of the dispersion relations for these models is given.