Kolling, Stefan ; Müller, Ralf ; Gross, Dietmar (2003)
A computational concept for the kinetics of defects in anisotropic materials.
In: Computational Materials Science, 26
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 ; Müller, Ralf ; Gross, Dietmar |
| Type of entry: | Bibliographie |
| Title: | A computational concept for the kinetics of defects in anisotropic materials |
| Language: | English |
| Date: | 2003 |
| Publisher: | Elsevier Science B. V. |
| Journal or Publication Title: | Computational Materials Science |
| Volume of the journal: | 26 |
| URL / URN: | http://atom.me.gatech.edu/zhut/Refer/Mueller/Kolling_CompMat... |
| 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. |
| Uncontrolled Keywords: | Configurational forces; Eshelby-stress; Microstructure; Material defects; Monte Carlo simulation; FEM |
| Additional Information: | SFB 595 C3 |
| 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 |
| Last Modified: | 03 Mar 2022 10:44 |
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