Abstract
Using the methods of nonequilibrium thermodynamics, continuum mechanics, differential geometry, and the continuous theory of disclinations, we obtain a closed system of differential equations that makes it possible to determine the unknown plastic fields, the defect densities connected with them, and the stresses caused in the body. The connection between the kinetic potentials and the load surface of the system is established.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 62–69.
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Emel'yanov, O.I. On a version of the nonlinear equations of the nonlocal moment theory of plasticity of materials with mobile disclinations. J Math Sci 67, 2872–2878 (1993). https://doi.org/10.1007/BF01095861
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DOI: https://doi.org/10.1007/BF01095861