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.
On Dispersion Relations Within 1D Nonlocal Elasticity
Eremeyev V. A.
Primo
2025-01-01
Abstract
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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