Abstract:
A model of a physical section that describes stress-strain states in elastic-plastic solids weakened by cracks is proposed. The problem of plane deformation and the stress state of a solid of an infinite size of an arbitrary geometry, weakened by a physical section, is solved. It comes down to a system of two variational equations with respect to displacement fields in the parts of the solid bordering the interaction layer. For a material whose properties are close to those of a D16T alloy, the linear parameter introduced into the crack model is estimated, and the critical conditions of solids with lateral cracks in the case of a normal detachment are determined.
Keywords:
crack, elastic-plastic deformations, characteristic size, finite element method.
Citation:
V. V. Glagolev, L. V. Glagolev, A. A. Markin, “Determining the stress-strain state of elastic-plastic solids with a lateral crack-like defect with the use of a model with a linear size”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018), 143–154; J. Appl. Mech. Tech. Phys., 59:6 (2018), 1085–1094
\Bibitem{GlaGlaMar18}
\by V.~V.~Glagolev, L.~V.~Glagolev, A.~A.~Markin
\paper Determining the stress-strain state of elastic-plastic solids with a lateral crack-like defect with the use of a model with a linear size
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 6
\pages 143--154
\mathnet{http://mi.mathnet.ru/pmtf509}
\crossref{https://doi.org/10.15372/PMTF20180614}
\elib{https://elibrary.ru/item.asp?id=36517953}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 6
\pages 1085--1094
\crossref{https://doi.org/10.1134/S0021894418060147}
Linking options:
https://www.mathnet.ru/eng/pmtf509
https://www.mathnet.ru/eng/pmtf/v59/i6/p143
This publication is cited in the following 3 articles:
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