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Surface finite viscoelasticity and surface anti-plane waves

Abstract

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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Keywords

Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE no. 196,
ISSN: 0020-7225
Language:
English
Publication year:
2024
Bibliographic description:
Eremeev V.: Surface finite viscoelasticity and surface anti-plane waves// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -,iss. 104029 (2024), s.1-9
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2024.104029
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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