Uniqueness and stability of activated dislocation shapes in crystals

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU139373" target="_blank" >RIV/00216305:26210/21:PU139373 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68081723:_____/21:00545719

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1361-651X/abd041" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-651X/abd041</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-651X/abd041" target="_blank" >10.1088/1361-651X/abd041</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Uniqueness and stability of activated dislocation shapes in crystals

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Uniqueness and stability of activated dislocation shapes in crystals

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

ISSN

0965-0393

e-ISSN

1361-651X

Svazek periodika

2021

Číslo periodika v rámci svazku

29

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

1-13

Kód UT WoS článku

000615217900001

EID výsledku v databázi Scopus

2-s2.0-85101842742