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<p>Eringen’s original linear theory of nonlocal elasticity involves integral operators. We apply it to the problem of waves in an elastic half-space, hoping to find a generalization of Rayleigh waves. We solve the governing equations exactly and show that such a generalization does not exist.</p>

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Rayleigh Waves: Do They Exist as an Exact Solution of Eringen’s Nonlocal Elasticity Theory in Its Integral Formulation?

  • 期刊论文

  • 发表日期：

    2025年8月11日

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  • P. A. Martin

摘要

Eringen’s original linear theory of nonlocal elasticity involves integral operators. We apply it to the problem of waves in an elastic half-space, hoping to find a generalization of Rayleigh waves. We solve the governing equations exactly and show that such a generalization does not exist.