Abstract:
Mathematical models of the stress state of plastic layers (interlayers) under the tensile load under plane deformation are investigated. The layer of rectangular shape is included in the strip of more durable material. The method of characteristics (slip lines) is used. The reasons that contact hardening is not fully realized are investigated. The characteristic fields in the layer in the process of loading are analyzed. The classification of characteristic fields at the critical moment of loading is given. The criterion for the full realization of contact hardening of the layer material is obtained. It depends on the relative thickness of the layer and the coefficient of mechanical heterogeneity of the joint. Explicit analytical expressions for calculating the critical load in the case of the full implementation of contact hardening are obtained.
Keywords:
plastic layer, stress state, systems of nonlinear differential equations, contact hardening, coefficient of mechanical heterogeneity.
\Bibitem{DilDhe18}
\by V.~L.~Dilman, A.~N.~Dheyab
\paper Critical states of thin underlayers under tensile afford
\jour J. Comp. Eng. Math.
\yr 2018
\vol 5
\issue 4
\pages 3--15
\mathnet{http://mi.mathnet.ru/jcem129}
\crossref{https://doi.org/10.14529/jcem180401}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3895268}
\elib{https://elibrary.ru/item.asp?id=36673200}
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https://www.mathnet.ru/eng/jcem129
https://www.mathnet.ru/eng/jcem/v5/i4/p3
This publication is cited in the following 4 articles:
Sergei Alexandrov, Elena Lyamina, Yeau-Ren Jeng, “Effect of weld geometry on the limit load of a cracked specimen under tension”, Mechanics Based Design of Structures and Machines, 52:4 (2024), 1998
Sergei Alexandrov, Marina Rynkovskaya, Ismet Bajmuratov, Ruslan Kalistratov, Ivan Pylkin, “A new method of failure analysis”, Vietnam J. Sci. Technol., 62:1 (2024), 170
V. L. Dilman, T. V. Karpeta, “Kriticheskie sostoyaniya tonkostennykh tsilindricheskikh obolochek s koltsevymi shvami pri osevom szhatii i vnutrennem davlenii”, Chelyab. fiz.-matem. zhurn., 8:4 (2023), 568–579
V. L. Dilman, T. V. Karpeta, “Critical states of longitudinal seam pipes of large diameter under axial compression and internal pressure”, Chelyab. fiz.-matem. zhurn., 6:2 (2021), 208–216
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