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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 4, Pages 116–125
(Mi pmtf2524)
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Convergence of computational methods and stability of self-balanced stresses under shrinkage of spherical inclusions of a damageable material
V. V. Struzhanov, Vyach. V. Bashurov Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg
Abstract:
Some iterative methods for calculating self-balanced stresses under shrinkage of a ball inclusion enclosed in a spherical matrix of a physically nonlinear damageable material. The stability of this system was studied using methods of catastrophe theory. It has been established that the beginning of divergence of the proposed iterative processes coincides with the moment of transition of the system to an unstable position of equilibrium.
Keywords:
stability, self-balanced stresses, damageable material.
Received: 02.12.2002
Citation:
V. V. Struzhanov, Vyach. V. Bashurov, “Convergence of computational methods and stability of self-balanced stresses under shrinkage of spherical inclusions of a damageable material”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003), 116–125; J. Appl. Mech. Tech. Phys., 44:4 (2003), 549–556
Linking options:
https://www.mathnet.ru/eng/pmtf2524 https://www.mathnet.ru/eng/pmtf/v44/i4/p116
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Abstract page: | 19 | Full-text PDF : | 4 |
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