On stress singularity near the tip of a crack with surface stresses

Nikolai Gorbushin; Victor Eremeev; Gennady Mishuris

doi:10.1016/j.ijengsci.2019.103183

On stress singularity near the tip of a crack with surface stresses

Abstract

In the framework of the simplified linear Gurtin–Murdoch surface elasticity we discuss a singularity of stresses and displacements in the vicinity of a mode III crack. We show that inhomogeneity in surface elastic properties may significantly affect the solution and to change the order of singularity. We also demonstrate that implicitly or explicitly assumed symmetry of the problem may also lead to changes in solutions. Considering various loading and symmetry conditions we show that the stresses may have logarithmic or square root singularity or be bounded in the vicinity of a crack tip.

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Authors (3)

Nikolai Gorbushin PhD
- Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris, 10 Rue Vauquelin, Paris, Ile-de-France, France
Victor Eremeev prof. dr hab.
Gennady Mishuris Professor
- Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK

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Category:: Articles
Type:: artykuły w czasopismach
Published in:: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE pages 1 - 17,
ISSN: 0020-7225
Language:: English
Publication year:: 2020
Bibliographic description:: Gorbushin N., Eremeev V., Mishuris G.: On stress singularity near the tip of a crack with surface stresses// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -, (2020), s.1-17
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2019.103183
Verified by:: Gdańsk University of Technology