On the Derivation of Boundary Conditions for Continuum Dislocation Dynamics

Publikation: Beitrag in einer FachzeitschriftArtikel


Continuum dislocation dynamics (CDD) is a single crystal strain gradient plasticity theory
based exclusively on the evolution of the dislocation state. Recently, we derived a constitutive
theory for the average dislocation velocity in CDD in a phase field-type description for an
infinite domain. In the current work, so-called rational thermodynamics is employed to obtain
thermodynamically consistent boundary conditions for the dislocation density variables of CDD.
We find that rational thermodynamics reproduces the bulk constitutive equations as obtained from
irreversible thermodynamics. The boundary conditions we find display strong parallels to the
microscopic traction conditions derived by Gurtin and Needleman (M.E. Gurtin and A. Needleman,
J. Mech. Phys. Solids 53 (2005) 1–31) for strain gradient theories based on the Kröner–Nye tensor
AufsatznummerCrystals 2017, 7, 235
Seiten (von - bis)1-12
Frühes Online-Datum30 Jul 2017
PublikationsstatusVeröffentlicht - 30 Jul 2017


  • continuum dislocation dynamics; strain gradient plasticity; boundary conditions; thermodynamic consistency; micro stresses; micro tractions

ASJC Scopus subject areas

  • !!Materials Science(all)

Fields of Expertise

  • Advanced Materials Science


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