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A computational concept for the kinetics of defects in anisotropic materials

Kolling, Stefan and Müller, Ralf and Gross, Dietmar (2003):
A computational concept for the kinetics of defects in anisotropic materials.
In: Computational Materials Science, 26, pp. 87-94. Elsevier Science B. V., ISSN 0927-0526,
[Article]

Abstract

In this paper, the idea of Eshelby�s energy–momentum tensor is briefly reconsidered with respect to material defects in solid mechanics. This is used to obtain the thermodynamic driving forces acting on centers of dilatation, dislocations and interfaces of two-phase materials. A simple constitutive kinetic law relates this force with the velocity of the defect. Alternatively, we formulate the kinetics in a statistical sense from Boltzmann�s principle. For an efficient numerical treatment we suggest a semi-analytical method via a finite element formalism. Within this numerical technique, no restrictions on the elastic anisotropy of the material are made. The theory is applied in the situation of a two-phase system.

Item Type: Article
Erschienen: 2003
Creators: Kolling, Stefan and Müller, Ralf and Gross, Dietmar
Title: A computational concept for the kinetics of defects in anisotropic materials
Language: English
Abstract:

In this paper, the idea of Eshelby�s energy–momentum tensor is briefly reconsidered with respect to material defects in solid mechanics. This is used to obtain the thermodynamic driving forces acting on centers of dilatation, dislocations and interfaces of two-phase materials. A simple constitutive kinetic law relates this force with the velocity of the defect. Alternatively, we formulate the kinetics in a statistical sense from Boltzmann�s principle. For an efficient numerical treatment we suggest a semi-analytical method via a finite element formalism. Within this numerical technique, no restrictions on the elastic anisotropy of the material are made. The theory is applied in the situation of a two-phase system.

Journal or Publication Title: Computational Materials Science
Journal volume: 26
Publisher: Elsevier Science B. V.
Uncontrolled Keywords: Configurational forces; Eshelby-stress; Microstructure; Material defects; Monte Carlo simulation; FEM
Divisions: Study Areas
DFG-Collaborative Research Centres (incl. Transregio)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
Study Areas > Study Area Mechanic
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue > C - Modelling
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue > C - Modelling > Subproject C3: Microscopic investigations into defect agglomeration and its effect on the mobility of domain walls
Date Deposited: 20 Nov 2008 08:18
Official URL: http://atom.me.gatech.edu/zhut/Refer/Mueller/Kolling_CompMat...
Additional Information:

SFB 595 C3

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