期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 146, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2019.103183
关键词
Mode III crack; Surface stresses; Nonhomogeneous surface properties; Wiener-Hopf equation
资金
- Department of Education and Science of the Russian Federation [14.Z50.31.0036]
- ERC Advanced Grant Instabilities and nonlocal multiscale modelling of materials [ERC-2013-ADG-340561-INSTABILITIES]
- Royal Society
- Isaac Newton Institute for Mathematical Sciences (INI)
- INI, Cambridge (EPSRC) [EP/R014604/1]
- French Agence Nationale de la Recherche (ANR) [ANR-17-CE08-0047-02]
- Agence Nationale de la Recherche (ANR) [ANR-17-CE08-0047] Funding Source: Agence Nationale de la Recherche (ANR)
- EPSRC [EP/R014604/1] Funding Source: UKRI
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 Ill 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. (C) 2019 The Authors. Published by Elsevier Ltd.
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