Abstract
The stability of ideally plastic, elastoplastic, and reinforced elastoviscoplastic bodies subjected to large subcritical strains was investigated in [1–4], The problems solved in these papers were related to the stability of systems in which homogeneous stress and strain fields arise in the initial state. The stability of an elastic thick-walled spherical shell subjected to external pressure leading to large subcritical strains was investigated in [5]. The stability of an axisymmetric sphere of elastoplastic material subjected to large plastic strains is examined below.
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S. Zahorski, “On plastic instability in some cases of simple flow,” Bull. Acad. Polon. Sci., Ser. Sci. Tech.,12, No. 12 (1964).
S. Zahorski, “Kinematic stability in the case of slow steady plastic flow,” Arch. Mech. Stosow.,16, No. 6 (1964).
A. N. Sporykhin and V. G. Trofimov, “Plastic instability in some cases of simple flow,” Prikl. Mat. Mekh.,38, No. 4 (1974).
A. V. Skachenko and A. N. Sporykhin, “Stability of elastroplastic bodies under large plastic deformations,” Prikl. Mekh.,12, No. 5, 11–17 (1976).
Z. Wesolowski, “Stability of an elastic thick-walled spherical shell loaded by an external pressure,” Arch. Mech. Stosow.,19, No. 1 (1967).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 155–159, September–October, 1977.
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Skachenko, A.V., Sporykhin, A.N. Stability of an elastoplastic sphere under external pressure. J Appl Mech Tech Phys 18, 718–721 (1977). https://doi.org/10.1007/BF00859903
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DOI: https://doi.org/10.1007/BF00859903