Defects in gradient micropolar elasticity - II: Edge dislocation and wedge disclination

Journal of the Mechanics and Physics of Solids

Volumn 52, Issue 10, 2004, Pages 2285-2307

  Lazar, Markus ^a   Maugin, Gérard A ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Disclination; Dislocation; Gradient theory; Micropolar elasticity

Indexed keywords

DISLOCATIONS (CRYSTALS); EDGE DETECTION; ELASTIC MODULI; GRADIENT METHODS; MICROPOROSITY; STRESS ANALYSIS; TENSORS;

DISCLINATION; EDGE DISLOCATION; MICROPOLAR ELASTICITY; WEDGE DISCLINATION;

ELASTICITY;

EID: 4544361925     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.04.002     Document Type: Article

References (21)

1. Eringen A.C. Plane waves in nonlocal micropolar elasticity. Int. J. Eng. Sci. 22:1984;1113-1121.
2. Eringen A.C. Nonlocal Continuum Field Theories. 2002;Springer, New York.
3. Gutkin M.Yu., Aifantis E.C. Edge dislocation in gradient elasticity. Scripta Mater. 36:1997;129-135.
4. Gutkin M.Yu., Aifantis E.C. Dislocations in gradient elasticity. Scripta Mater. 40:1999;559-566.
5. Gutkin M.Yu., Aifantis E.C. Dislocations and disclinations in gradient elasticity. Phys. Stat. Sol. (b). 214:1999;245-284.
6. Gutkin, M.Yu., Aifantis, E.C., 2000. Nanoscale elastic properties of dislocations and disclinations. In: Chow, G.M., et al. (Eds.), Nanostructured Film and Coatings, NATO ARW Series, High Technology, Vol. 78, Kluwer, Dodrecht, pp. 247-254.
7. Kessel S. Spannungsfelder einer Schraubenversetzung und einer Stufenversetzung im Cosserat Kontinuum. Z. Angew. Math. Mech. 50:1970;547-553.
8. Knésl Z., Semela F. The influence of couple-stresses on the elastic properties of an edge dislocation. Int. J. Eng. Sci. 10:1972;83-91.
9. Lazar M. A nonsingular solution of the edge dislocation in the gauge theory of dislocations. J. Phys. A: Math. Gen. 36:2003;1415-1437.
10. Lazar M. Dislocations in the field theory of elastoplasticity. Comput. Mater. Sci. 28:2003;419-428.
11. Lazar M. Wedge disclination in the field theory of elastoplasticity. Phys. Lett. A. 311:2003;416-425.
12. Lazar, M., Maugin, G.A., 2003. Nonsingular stress and strain fields of dislocations and disclinations. Int. J. Eng. Sci., submitted.
13. Lazar, M., Maugin, G.A., 2004. Defects in gradient micropolar elasticity: I. Screw dislocation. J. Mech. Phys. Solids, in press. (doi: 10.1016/j.jmps.2004.04.003 ).
14. Minagawa S. Stress and couple-stress fields produced by Frank disclinations in an isotropic elastic micropolar continuum. Int. J. Eng. Sci. 15:1977;447-453.
15. Minagawa S. Stress and couple-stress fields produced by circular dislocations in an isotropic elastic microploar continuum. Z. Angew. Math. Mech. 59:1979;307-315.
16. Mindlin R.D. Influence of couple-stresses on stress concentrations. Exper. Mech. 3:1963;1-7.
17. Mindlin R.D., Tiersten H.F. Effects of couple-stresses in linear elasticity. Arch. Rat. Mech. Anal. 11:1962;415-448.
18. Nowacki J.P. The linear theory of dislocations in the Cosserat elastic continuum. Bull. Acad. Polon. Sci., Sér. Sci. Technol. 21:1973;585-592.
19. Nowacki W. On discrete dislocations in micropolar elasticity. Arch. Mech. 26:1974;3-11.
20. Nowacki W. Theory of Asymmetric Elasticity. 1986;Pergamon Press, Oxford.
21. Toupin R.A. Elastic materials with couple-stresses. Arch. Rational Mech. Anal. 11:1962;385-414.