On the screw dislocation in a functionally graded material

Mechanics Research Communications

Volumn 34, Issue 3, 2007, Pages 305-311

  Lazar, Markus ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Functionally graded material; Gradient elasticity; Screw dislocation

Indexed keywords

DISLOCATIONS (CRYSTALS); ELASTICITY; STRESS ANALYSIS;

AXIAL SYMMETRY; GRADIENT ELASTICITY; PEACH-KOEHLER FORCE; SCREW DISLOCATION;

FUNCTIONALLY GRADED MATERIALS;

EID: 33947502294     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2006.12.004     Document Type: Article

References (14)

1. Alshits V.I., and Kirchner H.O.K. Elasticity of multilayers. Part I: Basic equations and solutions. Philos. Mag. A 72 (1995) 1431-1444
2. Altan B.C., and Aifantis E.C. On some aspects in the special theory of gradient elasticity. J. Mech. Behav. Mater. 8 (1997) 231-282
3. Barnett D.M. On the screw dislocation in an inhomogeneous elastic medium: The case of continuously varying elastic moduli. Int. J. Solids Struct. 8 (1972) 651-660
4. Chan Y.-S., Paulino G.H., and Fannjing A.C. The crack problem for nonhomogeneous materials under antiplane shear loading - a displacement based formulation. Int. J. Solids Struct. 38 (2001) 2989-3005
5. Chan Y.-S., Gray L.J., Kaplan T., and Paulino G.H. Green's function for a two-dimensional exponentially graded elastic medium. Proc. Roy. Soc. Lond. A 460 (2004) 1689-1706
6. Erdogan F. Fracture mechanics of functionally graded materials. Compos. Eng. 5 (1995) 753-770
7. Erdogan F., and Ozturk M. Diffusion problems in bonded nonhomogeneous materials with and interface cut. Int. J. Eng. Sci. 30 (1992) 1507-1523
8. Fannjing A.C., Chan Y.-S., and Paulino G.H. Strain gradient elasticity for mode III cracks: A hypersingular integrodifferential equation approach. SIAM J. Appl. Math. 63 (2002) 1066-1091
9. Fotuhi A.R., and Fariborz S.J. Anti-plane analysis of a functionally graded strip with multiple cracks. Int. J. Solids Struct. 43 (2006) 1239-1252
10. Kirchner H.O.K., and Alshits V.I. Elastically anisotropic angularly inhomogeneous media. Part II: Green's function for piezoelectric, piezomagnetic and magnetoelectric media. Philos. Mag. A 74 (1996) 861-885
11. 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
12. Lazar M., Maugin G.A., and Aifantis E.C. An overview of dislocations in a special class of generalized elasticity. Phys. Status Solidi (b) 242 (2005) 2365-2390
13. Martin P.A., Richardson J.D., Gray L.J., and Berger J.R. On Green's function for a three-dimensional exponentially graded elastic solid. Proc. Roy. Soc. Lond. A 458 (2002) 1931-1947
14. Paulino G.H., Fannjing A.C., and Chan Y.-S. Gradient elasticity for mode III fracture in functionally graded materials - Part I: Crack perpendicular to the material gradation. Trans. ASME J. Appl. Mech. 70 (2003) 531-542