The effect of path cut on Somigliana ring dislocation elastic fields

International Journal of Solids and Structures

Volumn 44, Issue 20, 2007, Pages 6653-6677

  Paynter, Robert J H ^a   Hills, David A ^a   Korsunsky, Alexander M ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Axisymmetric; Dislocations; Somigliana

Indexed keywords

ELASTICITY; STRESS ANALYSIS;

ELASTIC FIELDS; FRANK'S RULE; SOMIGLIANA; STRESS FIELDS;

DEFECTS;

EID: 34547762690     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.03.001     Document Type: Article

References (18)

1. Barber J.R. Elasticity. second ed. (2002), Kluwer Academic Publishers, Dordrecht
2. Blomerus P.M., and Hills D.A. An efficient procedure for modelling limited plastic flow. Proceedings of the Institution of Mechanical Engineers Part C - Journal of Mechanical Engineering Science 212 8 (1998) 731-740
3. Christian J.W., and Crocker A.G. Dislocations in lattice transformations. In: Nabarro F.R.N. (Ed). Dislocations in Solids vol. 3 (1980), North-Holland, Amsterdam 165-249
4. Demir I., Hirth J.P., and Zbib H.M. The Somigliana ring dislocation. Journal of Elasticity 28 3 (1992) 223-246
5. Eason G., Noble B., and Sneddon I.N. On certain integrals of Lipschitz-Hankel type involving products of Bessel functions. Philosophical Transactions of The Royal Society of London - Series A 247 (1955) 529-551
6. Hills D., Kelly P., Dai D.N., and Korsunsky A.M. Solution of Crack Problems (The Distributed Dislocation Technique) (1996), Kluwer Academic Publishers
7. Hurtado J.A., and Weertman J. Non-redundant dislocation density field of a circular bar deformed in torsion and the stress gradient hardening effect. Physica Status Solidi (a) 149 1 (1995) 173-186
8. Kolesnikova A.I., and Romanov A.E. Virtual circular dislocation-disclination loop technique in boundary value problems in the theory of defects. Journal of Applied Mechanics-Transactions of the Asme 71 3 (2004) 409-417
9. Korsunsky A.M. The Somigliana ring dislocation revisited. 1. Papkovich potential solutions for dislocations in an infinite space. Journal of Elasticity 44 2 (1996) 97-114
10. Korsunsky A.M. The Somigliana ring dislocation revisited. 2. solutions for dislocations in a half space and in one of two perfectly bonded dissimilar half spaces. Journal of Elasticity 44 2 (1996) 115-129
11. Kroupa F. Circular edge dislocation loop. Czechoslovak Journal of Physics 10 4 (1960) 284-293
12. Love A.E.H. Treatise on the Mathematical Theory of Elasticity. fourth ed. (1927), Dover
13. Sackfield A., Barber J.R., Hills D.A., and Truman C.E. A shrink-fit shaft subject to torsion. European Journal of Mechanics A-Solids 21 1 (2002) 73-84
14. Salamon N.J., and Comninou M. Circular prismatic dislocation loop in an interface. Philosophical Magazine A-Physics of Condensed Matter Structure Defects and Mechanical Properties 39 5 (1979) 685-691
15. Salamon N.J., and Dundurs J. Elastic fields of a dislocation loop in a two -phase material. Journal of Elasticity 1 2 (1971) 153-164
16. Salamon N.J., and Dundurs J. Circular glide dislocation loop in a 2-phase material. Journal of Physics C-Solid State Physics 10 4 (1977) 497-507
17. Salamon N.J., and Walter G.G. Limits of Lipschitz-Hankel integrals. Journal of the Institute of Mathematics and Its Applications 24 3 (1979) 237-254
18. Weertman J. Dislocation Based Fracture Mechanics (1996), World Scientific Publishing Company