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The relaxation-element method in models of the plastic strain of structurally inhomogeneous materials

  • Solid State Physics
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Abstract

It is shown that it is possible to represent a continuous field of plastic strain with high gradients in local regions of a material by methods of the continual theory of defects. A practical method of constructing highly inhomogeneous fields of plastic strain in local regions of a solid under load is proposed, and the stress fields connected with them are determined. The method is used to propose a principle of a unique connection between the process of inelastic deformation and stress relaxation in local volumes of the material. This enables one to simulate the inhomogeneous fields of plastic strain and stresses connected with the external stress without discontinuities and singularities at the interfaces between the phases and crystallites.

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Authors
  1. E. E. Deryugin
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Additional information

Institute of Physics of the Strength and Study of Materials, Siberian Branch, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 16–22, February, 1994.

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Deryugin, E.E. The relaxation-element method in models of the plastic strain of structurally inhomogeneous materials. Russ Phys J 37, 120–125 (1994). https://doi.org/10.1007/BF00559056

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  • DOI: https://doi.org/10.1007/BF00559056

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