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A geometrical model of the defect structure of an elastoplastic continuous medium

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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.

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Authors
  1. V. P. Myasnikov
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  2. M. A. Gusev
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Additional information

Institute of Automatics and Control Processes, Far-Eastern Division, Russian Academy of Sciences, Vladivostok 690041. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 2, pp. 163–173, March–April, 1999.

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Myasnikov, V.P., Gusev, M.A. A geometrical model of the defect structure of an elastoplastic continuous medium. J Appl Mech Tech Phys 40, 331–340 (1999). https://doi.org/10.1007/BF02468531

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  • DOI: https://doi.org/10.1007/BF02468531

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