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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 1999 Volume 40, Issue 2, Pages 163–173 (Mi pmtf3066)

This article is cited 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.

UDC: 539.37+514.7

Received: 29.06.1998


 English version:
Journal of Applied Mechanics and Technical Physics, 1999, 40:2, 331–340


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