The concept of material forces in phase transition problems within the level-set framework
| dc.contributor.author | Arvanitakis, A. I. | en |
| dc.contributor.author | Kalpakides, V. K. | en |
| dc.date.accessioned | 2015-11-24T17:39:24Z | |
| dc.date.available | 2015-11-24T17:39:24Z | |
| dc.identifier.issn | 0939-1533 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/14642 | |
| dc.rights | Default Licence | - |
| dc.subject | phase transition | en |
| dc.subject | level set method | en |
| dc.subject | material forces | en |
| dc.subject | kinetic relation | en |
| dc.subject | jump conditions | en |
| dc.subject | solids | en |
| dc.title | The concept of material forces in phase transition problems within the level-set framework | en |
| heal.abstract | The dynamics of a phase transition front in solids using the level set method is examined in this paper. Introducing an implicit representation of singular surfaces, a regularized version of the sharp interface model arises. The interface transforms into a thin transition layer of nonzero thickness where all quantities take inhomogeneous expressions within the body. It is proved that the existence of an inhomogeneous energy of the material predicts inhomogeneity forces that drive the singularity. The driving force is a material force entering the canonical momentum equation (pseudo-momentum) in a natural way. The evolution problem requires a kinetic relation that determines the velocity of the phase transition as a function of the driving force. Here, the kinetic relation is produced by invoking relations that can be considered as the regularized versions of the Rankine-Hugoniot jump conditions. The effectiveness of the method is illustrated in a shape memory alloy bar. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1007/s00419-011-0517-0 | - |
| heal.identifier.secondary | <Go to ISI>://000297114900002 | - |
| heal.journalName | Archive of Applied Mechanics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2011 | - |
| heal.publisher | Springer-Verlag | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: