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

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Type Article
Original languageEnglish
Article number103183
JournalInternational Journal of Engineering Science
Early online date24 Oct 2019
Publication statusE-pub ahead of print - 24 Oct 2019
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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


  • mode III crack, surface stresses, nonhomogeneous surface properties, Wiener-Hopf equation