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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 2, Pages 163–173
(Mi pmtf3066)
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This article is cited in 9 scientific papers (total in 9 papers)
A geometrical model of the defect structure of an elastoplastic continuous medium
V. P. Myasnikov, M. A. Guzev Institute of Automatics and Control Processes, Far-Eastern Division, Russian Academy of Sciences, Vladivostok 690041
Abstract:
We consider a new class of elastoplastic models which are based on the assumption that internal interaction between the continuum particles has affine-metric geometrical structure. From the physical viewpoint, the affine-metric objects are intrinsic thermodynamic variables which describe the evolution of various defect structures in a deformable material and also interaction between themselves and with the field of reversible strains. The analysis performed allows one to establish a relation between the classical mechanical characteristics of elastoplastic materials and the field of dislocation density and other types of defects.
Received: 29.06.1998
Citation:
V. P. Myasnikov, M. A. Guzev, “A geometrical model of the defect structure of an elastoplastic continuous medium”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 163–173; J. Appl. Mech. Tech. Phys., 40:2 (1999), 331–340
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https://www.mathnet.ru/eng/pmtf3066 https://www.mathnet.ru/eng/pmtf/v40/i2/p163
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Abstract page: | 52 | Full-text PDF : | 17 |
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