Expansion of Quasi-discrete dislocation loops in the context of a 3D continuum theory of curved dislocations

AIP Conference Proceedings

Volumn 1168, Issue , 2009, Pages 1148-1151

  Sandfeld, S ^a   Zaiser, M ^b   Hochrainer, T ^c  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c FRAUNHOFER INSTITUTE FOR MECHANICS OF MATERIALS IWM   (Germany)

Author keywords

Continuum tlieory of dislocations; Dislocations dynamics

Indexed keywords

EID: 70450188705     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3241264     Document Type: Conference Paper

References (8)

1. E. KRÖNER, "Kontinuumstheorie der Versetzungen und Eigenspannungen" in (Springer, 1958).
2. J. NYE, "Some geometrical relations in dislocated crystals" in Acta Metall. 1, pp. 153-162 (1953).
3. B. A. BiLBY, R. BULLOUGH, and E. SMITH, " Continuous distributions of dislocations: A new application of the methods of non-riemannian geometry" in Proc. Roy. Soc. London Ser. A 231, 263-273 (1955).
4. K. KONDO, "On the geometrical and physical foundations of the theory of yielding" in Proc. 2. Japan Nat. Congress ofAppl. Meek pp. 41-41 (1952).
5. R. SEDLÁČEK, J. KRATOCHVÍL, and E. WERNER, "The importance of being curved: bowing dislocations in a continuum description", in Phil. Mag. 83(31-34), pp. 3735-3752 (2003).
6. T. HOCHRAINER, M. ZAISER, and p. GUMBSCH, "A three-dimensional continuum theory of dislocation systems: kinematics and mean-fleld formulation" in Phil. Mag. 87 (8-9), pp. 1261-1282 (2007).
7. T. HOCHRAINER, "Evolving systems of curved dislocations: Mathematical foundations of a statistical theory", PhD thesis. University of Karlsruhe, IZBS, 2006; Shaker Verlag, Aachen 2007.
8. R. SEDLACEK, C. SCHWARZ, J. KRATOCHVIL and E. WERNER, "Continuum theory of evolving dislocation fields" in Phil. Mag. 87, pp. 1225-1260 (2007).