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- W2017237882 abstract "The geometrical structure of a material manifold with dislocations and disclinations is explored by applying vielbein theory and gauge field theory. Two kinds of connections, namely the affine and the gauge connection are introduced for describing the characteristics of plastic imperfections. As a result, the torsion tensor can be decomposed into a pure vielbein pan and a gauge potential part. The gauge field tensor constructed based on the gauge connection is shown to be equivalent to the curvature tensor, and is directly related to disclinations. Taking the displacement fields, the vielbein and the connection as three basic parameters, the constitutive equations and governing equations are obtained based on a variational principle for the stationary problem. It is emphasized that the physical quantities appearing in the Lagrangian function must be covariant not only in the coordinate transformation but in the gauge transformation as well. Furthermore, when the elastic strain tensor, the dislocation and disclination densities are regarded as such quantities, the governing equations are shown to be covariant for the combined transformation. For practical application, two specific forms of the internal energy density function are proposed, and specifically, only nine material constants are needed for a full description of a macroscopically isotropic material with dislocations and disclinations." @default.
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- W2017237882 date "1986-01-01" @default.
- W2017237882 modified "2023-09-27" @default.
- W2017237882 title "Gauge field theory of a continuum with dislocations and disclinations" @default.
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- W2017237882 doi "https://doi.org/10.1016/0020-7225(86)90042-x" @default.
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