This article is cited in 7 papers

Internal stresses in a solid with dislocations

S. P. Kiselev

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Formulas for calculating internal stresses in a material, generated by continuously distributed dislocations, are found on the basis of the gauge theory of defects. It is shown that internal stresses are self-balanced and satisfy the equilibrium equations and boundary conditions in the absence of external loads.

Keywords: internal stresses, dislocations, elasticity, boundary conditions, equilibrium equations, gauge theory of dislocations.

UDC: 539.3

Received: 29.12.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:4, 567–571

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