Detail publikace

Uniqueness and stability of activated dislocation shapes in crystals

GRÖGER, R. ŠREMR, J. VYDROVÁ, J.

Originální název

Uniqueness and stability of activated dislocation shapes in crystals

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Simplified models of thermally activated dislocation glide constitute an important link between atomic-level studies of isolated dislocations and macroscopic thermodynamic properties of materials. These models rest upon the activation enthalpy, which is the energy to transform an initially straight dislocation into its activated state at finite applied stresses. Minimizing this activation enthalpy leads to a boundary value problem for the shape of the dislocation line. Besides two constant solutions corresponding to a straight dislocation in its stable and unstable states at the applied stress, there exist an infinite number of non-constant solutions. We investigate the characters of these solutions for dislocations anchored at their ends. Using the second variation of the activation enthalpy, we derive a set of conditions that define a unique activated state of the dislocation. The corresponding analysis demonstrates that the shape of the dislocation in this activated state must change with the applied stress to maintain the state of minimum activation enthalpy.

Klíčová slova

dislocations;slip;activation enthalpy;boundary value problem;uniqueness;stability

Autoři

GRÖGER, R.; ŠREMR, J.; VYDROVÁ, J.

Vydáno

2. 2. 2021

Nakladatel

IOP Publishing Ltd

Místo

UK

ISSN

0965-0393

Periodikum

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

Ročník

2021

Číslo

29

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

13

Strany počet

13

URL

https://iopscience.iop.org/article/10.1088/1361-651X/abd041

BibTex

@article{BUT169198,
  author="Roman {Gröger} and Jiří {Šremr} and Jana {Vydrová}",
  title="Uniqueness and stability of activated dislocation shapes in crystals",
  journal="MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING",
  year="2021",
  volume="2021",
  number="29",
  pages="1--13",
  doi="10.1088/1361-651X/abd041",
  issn="0965-0393",
  url="https://iopscience.iop.org/article/10.1088/1361-651X/abd041"
}