瑞利波：作为Eringen非局部弹性理论积分公式的精确解是否存在？

IF 1.4 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2025-08-11 DOI:10.1007/s10659-025-10159-z

P. A. Martin

引用次数: 0

摘要

Eringen的非局部弹性的原始线性理论涉及到积分算子。我们将其应用于弹性半空间中的波问题，希望找到瑞利波的推广。我们精确地解出了控制方程，并证明了这种推广是不存在的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Journal of Elasticity 工程技术-材料科学：综合

CiteScore

3.70

自引率

15.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.