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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 2, Pages 50–58
DOI: https://doi.org/10.18500/1816-9791-2010-10-2-50-58
(Mi isu21)
 

Mechanics

Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation

V. V. Glagolev, L. V. Glagolev, A. A. Markin

Tula State University, Chair of Mathematical Modelling
References:
Abstract: The flaw is considered as a physical slit, and a material lying on continuation of a slit, shapes an interaction stratum between its coast sides. The given approach, unlike the concept of a mathematical slit, allows to establish laws of change of voltages and strains in deadlock field. It gives the chance to specify the values of exterior loadings corresponding to transition of a stratum in a plastic state. On the bases of a postulate on the linear distribution law of a field of travels on a thickness of a stratum the system of the integro-differential equations concerning travels of its boundaries is gained. The variant of the numerical solution of a task in view is viewed, comparison of effects for a special case with the known asymptotic solution is given.
Key words: characteristic size, boundary integrated equation, linear elasticity.
Document Type: Article
UDC: 539.375
Language: Russian
Citation: V. V. Glagolev, L. V. Glagolev, A. A. Markin, “Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation”, Izv. Saratov Univ. Math. Mech. Inform., 10:2 (2010), 50–58
Citation in format AMSBIB
\Bibitem{GlaGlaMar10}
\by V.~V.~Glagolev, L.~V.~Glagolev, A.~A.~Markin
\paper Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 2
\pages 50--58
\mathnet{http://mi.mathnet.ru/isu21}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-2-50-58}
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