表面有限粘弹性和表面反面波

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2024-01-24 DOI:10.1016/j.ijengsci.2024.104029

Victor A. Eremeyev

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引用次数: 0

摘要

我们介绍了有限变形下的表面粘弹性。该理论是对古尔廷-默多克模型的直接概括，适用于具有消逝记忆的材料。表面粘弹性可能反映了在小尺度下观察到的一些与表面相关的蠕变/应力松弛现象。所讨论的模型还可以描述薄的非弹性涂层或薄的界面层。我们提出了表面应力的构成方程。作为一个例子，我们讨论了表面应力介质中剪切（反面）波的传播，并考虑了粘弹性效应。在这里，我们分析了带有粘弹性涂层的弹性半空间中的表面波。得出了频散关系。

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Surface finite viscoelasticity and surface anti-plane waves

We introduce the surface viscoelasticity under finite deformations. The theory is straightforward generalization of the Gurtin–Murdoch model to materials with fading memory. Surface viscoelasticity may reflect some surface related creep/stress relaxation phenomena observed at small scales. Discussed model could also describe thin inelastic coatings or thin interfacial layers. The constitutive equations for surface stresses are proposed. As an example we discuss propagation shear (anti-plane) waves in media with surface stresses taking into account viscoelastic effects. Here we analysed surface waves in an elastic half-space with viscoelastic coatings. Dispersion relations were derived.

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.