Abstract:
A plane elastoplastic problem related to stress distribution in a thin plate with a circular hole is considered with account for nucleation and development of cracks in an elastic region. It is assumed that the circular hole is located in the plastic deformation region. It is considered that loading is accompanied by crack nucleation and the fracture of the plate material in the elastic deformation region of the plate. The problem is solved using the perturbation theory and the theory of singular integral equations.
Keywords:
thin plate, elastoplastic problem, interface between elastic and plastic deformations, pre-fracture zone, crack nucleation.
Citation:
V. M. Mirsalimov, “Elastoplastic tension problem for a plate with a circular hole with account for crack nucleation in an elastic deformation region”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020), 162–173; J. Appl. Mech. Tech. Phys., 61:4 (2020), 641–651
\Bibitem{Mir20}
\by V.~M.~Mirsalimov
\paper Elastoplastic tension problem for a plate with a circular hole with account for crack nucleation in an elastic deformation region
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 4
\pages 162--173
\mathnet{http://mi.mathnet.ru/pmtf306}
\crossref{https://doi.org/10.15372/PMTF20200418}
\elib{https://elibrary.ru/item.asp?id=43801348}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 4
\pages 641--651
\crossref{https://doi.org/10.1134/S0021894420040185}
Linking options:
https://www.mathnet.ru/eng/pmtf306
https://www.mathnet.ru/eng/pmtf/v61/i4/p162
This publication is cited in the following 2 articles:
Minavar V. Mir-Salim-zade, “Elastic-Plastic Problem for a Stringer Plate with a Circular Hole”, J. of Mech. Eng., 24:3 (2021), 61
O. V. Gomonova, S. I. Senashov, “Determining elastic and plastic deformation regions in a problem of unixaxial tension of a plate weakened by holes”, J. Appl. Mech. Tech. Phys., 62:1 (2021), 157–163