Abstract:
We study the stress state of an orthotropic plane with one linear defect whose lower side is reinforced by an elastic membrane. The Lekhnitskii potentials are constructed as solutions of the Riemann two-dimensional boundary-value problem. They are obtained in closed form. It is shown that the asymptotic behavior of stresses at the tips of the defect can have a singularity of any order from -1 to 0, depending on the stiffness of the membrane. The cases of low and high stiffness are considered separately.
Citation:
V. A. Khandogin, “Plane problem for an orthotropic body with a crack whose lower side is reinforced by an elastic membrane”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998), 150–155; J. Appl. Mech. Tech. Phys., 39:2 (1998), 290–294
\Bibitem{Kha98}
\by V.~A.~Khandogin
\paper Plane problem for an orthotropic body with a crack whose lower side is reinforced by an elastic membrane
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 2
\pages 150--155
\mathnet{http://mi.mathnet.ru/pmtf3255}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 2
\pages 290--294
\crossref{https://doi.org/10.1007/BF02468096}
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This publication is cited in the following 1 articles:
Iuliia Vasileva, Klaus Gürlebeck, Vasily Silvestrov, “Mixed antiplane boundary‐value problem for a piecewise‐homogeneous elastic body with a semi‐infinite interfacial crack”, Math Methods in App Sciences, 39:15 (2016), 4419
Citation in format AMSBIB
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