Kolling, S. ; Müller, R. ; Gross, D. (2003)
The influence of elastic constants on the shape of an inclusion.
In: International Journal of Solids and Structures, 40 (17)
doi: 10.1016/S0020-7683(03)00183-5
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
A continuum mechanics model is proposed to investigate coherent misfitting precipitates in a matrix material. This elasticity based method takes arbitrary anisotropic materials, eigenstrains and interface energies into account. The equilibrium shape of the precipitate is described in terms of EshelbyÕs driving forces acting on the precipitate interface. According to this force, an efficient shape optimization technique is formulated to investigate the influence of various parameters such as particle size, elastic constants and inhomogeneity on the equilibrium morphology. Using stable equilibrium shapes, the macroscopical response of the composite is calculated and compared with some common approximation techniques. The numerical treatment is realised with the finite element method.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2003 |
| Autor(en): | Kolling, S. ; Müller, R. ; Gross, D. |
| Art des Eintrags: | Bibliographie |
| Titel: | The influence of elastic constants on the shape of an inclusion |
| Sprache: | Englisch |
| Publikationsjahr: | 21 Mai 2003 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Solids and Structures |
| Jahrgang/Volume einer Zeitschrift: | 40 |
| (Heft-)Nummer: | 17 |
| DOI: | 10.1016/S0020-7683(03)00183-5 |
| URL / URN: | https://linkinghub.elsevier.com/retrieve/pii/S00207683030018... |
| Kurzbeschreibung (Abstract): | A continuum mechanics model is proposed to investigate coherent misfitting precipitates in a matrix material. This elasticity based method takes arbitrary anisotropic materials, eigenstrains and interface energies into account. The equilibrium shape of the precipitate is described in terms of EshelbyÕs driving forces acting on the precipitate interface. According to this force, an efficient shape optimization technique is formulated to investigate the influence of various parameters such as particle size, elastic constants and inhomogeneity on the equilibrium morphology. Using stable equilibrium shapes, the macroscopical response of the composite is calculated and compared with some common approximation techniques. The numerical treatment is realised with the finite element method. |
| Fachbereich(e)/-gebiet(e): | Studienbereiche 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik Studienbereiche > Studienbereich Mechanik |
| Hinterlegungsdatum: | 04 Mai 2022 13:50 |
| Letzte Änderung: | 12 Aug 2022 10:19 |
| PPN: | 498121798 |
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