Abstract
A perturbation method with a non-axially symmetric initial approximation is used to solve the problem of ideal plasticity theory involving the stretching-compression of a medium with a circular hole when the plastic subregions partially span the contour of the hole and are not in contact with one another.
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REFERENCES
V. N. Lozhkin, “Elastoplastic equilibrium of a plate with a circular hole, ” Prikl. Mekh., 34, No. 6, 99–103 (1998).
D. D. Ievlev, “Approximate perturbation solution of two-dimensional elastoplastic problems in the theory of ideal plasticity, ” Vestn. Mosk. Un-ta. Ser. Matem. Mekh., No. 5, 17–26 (1957).
L. A. Galin, “The two-dimensional elastoplastic problem, ” Prikl. Matem. Mekh., 10, No. 3, 367–386 (1946).
G. I. Bykovtsev and Yu. D. Tsvetkov, “Two-dimensional loading problem for an elastoplastic plate weakened by a hole, ” Prikl. Matem. Mekh., 51, No. 2, 314–322 (1987).
S. P. Timoshenko, A Course in the Theory of Elasticity [Russian translation], Kiev (1972).
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Lozhkin, V.N. A Generalization of Galin's Problem in the Theory of Ideal Plasticity. Journal of Mathematical Sciences 103, 363–367 (2001). https://doi.org/10.1023/A:1011318429761
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DOI: https://doi.org/10.1023/A:1011318429761