Wedge and twist disclinations in second strain gradient elasticity

International Journal of Solids and Structures

Volumn 44, Issue 11-12, 2007, Pages 3646-3665

  Deng, Shouchun ^a   Liu, Jinxing ^a   Liang, Naigang ^a  

^a INSTITUTE OF MECHANICS   (China)

Author keywords

Double stress; Strain gradient; Stress function; Triple stress; Twist disclination; Wedge disclination

Indexed keywords

DEFECTS; ELASTICITY; FUNCTIONS; STRESS CONCENTRATION;

ELASTIC STRAIN; STRAIN FIELDS; STRAIN GRADIENT; STRESS FUNCTION; WEDGE DISCLINATION;

STRAIN;

EID: 33947732848     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.10.011     Document Type: Article

References (28)

1. Aifantis E.C. Update on a class of gradient theories. Mech. Mater. 35 (2003) 259-280
2. deWit R. Theory of disclinations II, III, IV. J. Res. Nat. Bur. Stand. (US) 77A (1973) 49-100 359-368, 607-658
3. Eringen A.C. Vistas of nonlocal continuum physics. Int. J. Eng. Sci. 30 (1992) 1551-1565
4. Eringen A.C. Nonlocal Continuum Field Theories (2002), Springer, New York
5. Green A.E., and Rivlin R.S. Simple force and stress multipoles. Arch. Rat. Mech. Anal. 16 (1964) 325-353
6. Green A.E., and Rivlin R.S. Multipolar continuum mechanics. Arch. Rat. Mech. Anal. 17 (1964) 113-147
7. Gutkin M.Y. Nanoscopics of dislocations and disclinations in gradient elasticity. Rev. Adv. Mater. Sci. 1 (2000) 27-60
8. Gutkin M.Y., and Aifantis E.C. Screw dislocation in gradient elasticity. Scr. Mater. 35 (1996) 1353-1358
9. Gutkin M.Y., and Aifantis E.C. Edge dislocation in gradient elasticity. Scr. Mater. 36 (1997) 129-135
10. Gutkin M.Y., and Aifantis E.C. Dislocations in gradient elasticity. Scr. Mater. 40 (1999) 559-566
11. Hirth J.P., and Lothe J. Theory of Dislocations (1982), John Wiley & Sons, New York
12. Kröner E. On the physical reality of torque stresses in continuum mechanics. Int. J. Eng. Sci. 1 (1963) 261-278
13. Kröner E. Elasticity theory of materials with long range cohesive forces. Int. J. Solids Struct. 3 (1967) 731-742
14. Kröner, E. in: Bailian, R., et al. (Eds.), Continuum Theory of Defects, Physics of Defects (Les Houches, Session 35), North-Holland, Amsterdam. 1981.
15. Kröner E., and Datta B.K. Nichtlokale Elastostatik: Ableitung aus der Gittertheorie. Z. Phys. 196 (1966) 203-211
16. Lazar M. A nonsingular solution of the edge dislocation in the gauge theory of dislocations. J. Phys. A-Math. Gen. 36 (2003) 1415-1437
17. Lazar M. Dislocations in the field theory of elastoplasticity. Comput. Mater. Sci. 28 (2003) 419-428
18. Lazar M. Wedge disclination in the field theory of elastoplasticity. Phys. Lett. A 311 (2003) 416-425
19. Lazar M. Twist disclination in the field theory of elastoplasticity. J. Phys.-Condens. Mater. 15 (2003) 6781-6800
20. Lazar M., and Maugin G.A. Defects in gradient micropolar elasticity: I: screw dislocation. J. Mech. Phys. Solids 52 (2004) 2263-2284
21. Lazar M., and Maugin G.A. Defects in gradient micropolar elasticity: II. Edge dislocation and wedge disclination. J. Mech. Phys. Solids 52 (2004) 2285-2307
22. Lazar M., and Maugin G.A. Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. Int. J. Eng. Sci. 43 (2005) 1157-1184
23. Lazar M., Maugin G.A., and Aifantis E.C. Dislocations in second strain gradient elasticity. Int. J. Solids Struct. 43 (2006) 1787-1817
24. Mindlin R.D. Micro-structure in linear elasticity. Arch. Rat. Mech. Anal. 16 (1964) 51-78
25. Mindlin R.D. Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct. 1 (1965) 417-438
26. Mindlin R.D., and Eshel N.N. On first strain gradients theory in linear elasticity. Int. J. Solids Struct. 4 (1968) 109-124
27. Mura T. Micromechanics of Defects in Solids (1982), Martinus Nijhoff, Dordrecht
28. Polizzotto C. Gradient elasticity and nanostandard boundary conditions. Int. J. Solids Struct. 40 (2003) 7399-7423