Abstract
The local instability of plates with annular inclusions is studied within the framework of exact three–dimensional equations. A numerical experiment is performed for the case where two rings are pressed in a plate made of the same material as the rings. The effect of the physicomechanical parameters of a medium on the critical contact pressures is studied.
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REFERENCES
A. N. Sporykhin and N. N. Chikanova, “Local instability of a plate with an inclusion, ” Prikl. Mekh., 27, No. 8, 106–110 (1991).
A. N. Sporykhin and N. N. Chikanova, “Local instability of composite elastoplastic structures, ” Mekh. Kompoz. Mat., 31, No. 2, 248–260 (1995).
A. N. Guz', Fundamentals of the Three-Dimensional Stability Theory of Deformable Bodies [in Russian], Vishcha Shkola, Kiev (1986).
A. Yu. Ishlinskii, “The general theory of plasticity with linear hardening, ” Ukr. Mat. Zh., 6, No. 3, 36–43 (1954).
A. N. Sporykhin, Perturbation Method in the Stability Problems of Complex Media [in Russian], Izd. Voronezh. Univ., Voronezh (1997).
M. S. Kornishin, Nonlinear Problems of the Theory of Plates and Shallow Shells and Methods of Their Solution [in Russian], Nauka, Moscow (1964).
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Gotsev, D.V., Kovalev, A.V. & Sporykhin, A.N. Local instability of plates with pressed–in annular inclusions at the elastoplastic behavior of materials. Journal of Applied Mechanics and Technical Physics 42, 505–509 (2001). https://doi.org/10.1023/A:1019211123995
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DOI: https://doi.org/10.1023/A:1019211123995