Schultz, Timm ; Müller, Ralf (2019)
Automatic analysis of the stress-strain response of rheological models.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 19 (1)
doi: 10.1002/pamm.201900232
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Viscoelastic material behaviour can be represented by rheological models combining elastic and viscous rheological elements. These combinations can be serial and parallel connections of such elements as well as combinations of both. A method based on transfer functions formulated in the Laplace domain allows the calculation of constitutive equations of serial and parallel connections by a simple summation. Furthermore the use of a breadth-first search algorithm for the analysis of complex systems of rheological elements is explained. By using this search algorithm a hierarchy of nested connections in a system can be found. This hierarchy guarentees dependencies are satisfied during the calculation of constitutive equations and signal propagation through the system.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2019 |
| Autor(en): | Schultz, Timm ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Automatic analysis of the stress-strain response of rheological models |
| Sprache: | Englisch |
| Publikationsjahr: | 2019 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 19 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.201900232 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2019002... |
| Kurzbeschreibung (Abstract): | Viscoelastic material behaviour can be represented by rheological models combining elastic and viscous rheological elements. These combinations can be serial and parallel connections of such elements as well as combinations of both. A method based on transfer functions formulated in the Laplace domain allows the calculation of constitutive equations of serial and parallel connections by a simple summation. Furthermore the use of a breadth-first search algorithm for the analysis of complex systems of rheological elements is explained. By using this search algorithm a hierarchy of nested connections in a system can be found. This hierarchy guarentees dependencies are satisfied during the calculation of constitutive equations and signal propagation through the system. |
| Zusätzliche Informationen: | Artikel-ID: e201900232 |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 03 Mai 2022 06:33 |
| Letzte Änderung: | 03 Mai 2022 06:33 |
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