Continuum Mechanics and Thermodynamics

, Volume 18, Issue 7–8, pp 455–467 | Cite as

Dislocation nucleation and work hardening in anti-plane constrained shear

  • V. L. BerdichevskyEmail author
  • K. C. Le
Original Article


The paper aims at studying the dislocation nucleation, the corresponding work hardening and the influence of resistance to the dislocation motion within the framework of continuum theory of dislocations. We consider an anti-plane constrained shear problem which admits an analytical solution. The interesting features of this solution are the energy and dissipation thresholds for dislocation nucleation, the Bauschinger translational work hardening, and the size effect.


Dislocation nucleation Work hardening Size effect Continuum theory of dislocations 


61.72.Bb 61.72.Lk 62.20.Fe 


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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA
  2. 2.Lehrstuhl für Allgemeine MechanikRuhr-Universität BochumBochumGermany

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