Abstract:
This paper describes a solution to the problem of determining the elastic and plastic deformation regions arising in a plate that is under tension and weakened by two circular holes in the case of a plane stress state. A method for solving the problem is based on the use of conservation laws.
Citation:
O. V. Gomonova, S. I. Senashov, “Determining elastic and plastic deformation regions in a problem of unixaxial tension of a plate weakened by holes”, Prikl. Mekh. Tekh. Fiz., 62:1 (2021), 179–186; J. Appl. Mech. Tech. Phys., 62:1 (2021), 157–163
\Bibitem{GomSen21}
\by O.~V.~Gomonova, S.~I.~Senashov
\paper Determining elastic and plastic deformation regions in a problem of unixaxial tension of a plate weakened by holes
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 1
\pages 179--186
\mathnet{http://mi.mathnet.ru/pmtf220}
\crossref{https://doi.org/10.15372/PMTF20210119}
\elib{https://elibrary.ru/item.asp?id=44746896}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 1
\pages 157--163
\crossref{https://doi.org/10.1134/S0021894421010193}
Linking options:
https://www.mathnet.ru/eng/pmtf220
https://www.mathnet.ru/eng/pmtf/v62/i1/p179
This publication is cited in the following 8 articles:
Sergey I. Senashov, Irina L. Savostyanova, Alexander N. Yakhno, “Bending of composite timber”, Siberian Aerospace Journal, 25:1 (2024), 25
S. I. Senashov, I. L. Savostyanova, A. Yu. Vlasov, “Torsion of a two-layer elastic rod with a box section”, J. Appl. Mech. Tech. Phys., 65:3 (2024), 536–542
Sergei I. Senashov, Irina L. Savostyanova, Olga N. Cherepanova, “Elasto-plastic twisting of a two-layer rod weakened by holes”, Zhurn. SFU. Ser. Matem. i fiz., 16:5 (2023), 591–597
Sergey I. Senashov, Irina L. Savostyanova, Sergey V. Lukyanov, “Elastic-plastic torsion of a two-layer rod”, Siberian Aerospace Journal, 24:1 (2023), 35
S. I. Senashov, I. L. Savostyanova, “Using Conservation Laws to Solve Boundary Value Problems for the Moisil–Theodoresco System”, J. Appl. Ind. Math., 16:2 (2022), 349
S. I. Senashov, O. V. Gomonova, O. N. Cherepanova, “Group analysis of the ideal plasticity equations”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 882–889
Minavar V. Mir-Salim-zade, “Elastic-Plastic Problem for a Stringer Plate with a Circular Hole”, J. of Mech. Eng., 24:3 (2021), 61
S. I. Senashov, I. L. Savostyanova, “The Exact Solutions of the Equation Describing Antiplane Plastic Flow”, Lobachevskii J Math, 42:15 (2021), 3741