Gauge theory applied to medium with internal structure and defects

Theoretical and Applied Fracture Mechanics

Volumn 28, Issue 3, 1998, Pages 231-236

  Grinayev, Yu V ^a   Chertova, N V ^a  

^a ENERGY SYSTEMS INSTITUTE   (Russian Federation)

Author keywords

Defects; Gauge theory; Internal structure

Indexed keywords

CONTINUUM MECHANICS; DEFECTS; DEFORMATION; ELASTICITY; GEOMETRY; MATHEMATICAL MODELS; SOLIDS; STRUCTURE (COMPOSITION);

CONTINUUM THEORY; DYNAMIC EQUATIONS; ELASTIC MEDIUM THEORY; GAUGE THEORY;

FRACTURE MECHANICS;

EID: 0031998678     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8442(98)00008-1     Document Type: Article

References (8)

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2. R. de Wit, in: J.A. Simmons, R. de Wit, R. Bulloungh, (Eds.), Fundamental Aspects of Dislocation Theory, Natl. Bur. Stand. (U.S.), Spec. Publ., 317, Vol. 1, 1970, pp. 651-673.
3. R.D. Mindlin, Micro-structure in linear elasticity, Arch. Rational Mech. Anal. 1 (1964) 51-78.
4. A.C. Bringen, in: H. Libeowitg (Ed.), Theory of Micropolar Elasticity Fracture, Vol. 2, Academic Press, 1968, pp. 621-729.
5. A. Kadic, D.G.B. Edelen, A gauge theory of dislocation and disclination, Lecture Notes in Physics, Vol. 174, Springer-Verlag, Berlin, 1983.
6. D.G.B. Edelen, D.C. Lagoudas, A Gauge Theory and Defects in Solids, North-Holland, Amsterdam, 1988, 189 pp.
7. Yu.V. Grinayev, in: V.E. Panin (Ed.), Physical Mesomechanics of Heterogeneous Media and Computer Aided Design of Materials, Cambridge International Science Publishing, 1996, in press.
8. Yu.V. Grinayev, N.V. Chertova, Relationship between the gauge model of the elastic-plastic medium and Mindlin theory, Izv. Vyssh. Uchebn. Zaved., Ser. Fiz. 4 (1994) 44-46.