Abstract
The article shows the basics and the fundamental procedure for solving nested calculations of a multistage sequence, taking the example of a compressed O-ring seal influenced by diffusion processes and the ageing of the elastomer component. The mathematical structure of the descriptive equation of diffusion is the same as that of heat transfer. On the other hand, there is the structural-mechanical task for the calculation of mechanical equilibrium. A staggered algorithm solves the referenced problems of “diffusion” and “mechanical equilibrium” independently of each other and takes the results of the other problem as an initial condition. This enables stable solutions of multi-field problems to be achieved which are also dominated by different time scales and processes. We also discuss how to obtain suitable parameters for simulation.
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References
Mehling, V., Baaser, H.: Simulation of self-heating of dynamically loaded elastomer components. In: Heinrich, G., Kaliske, M., Lion, A., Reese, S. (eds.) Constitutive Models for Rubber VI. CRC Press, Boca Raton (2009), pp. 119–124
Achenbach, M.: Sichere Dichtungen—Alterungsmodell für Gummi. NAFEMS-Magazin 18, 64–78 (2011)
Achenbach, M.: Service life of seals—Numerical simulation in sealing technology enhances prognoses. Comput. Mater. Sci. 19, 213–222 (2000)
Baaser, H., Gross, C.: Temperature dependent diffusion processes treated by finite elements. In: 10th Rubber Fall Kolloquium (Hanover, 07.–09.11.2012). Deutsches Institut für Kautschuktechnologie, Hanover (2012)
Baaser, H., Ziegler, C.: Simulation von Setz- und Relaxationsvorgängen von Elastomer-bauteilen mit Hilfe des mehrachsig formulierten Freudenberg-Alterungsmodells. in: Proceedings of the 7th Kautschuk-Herbst-Kolloquium (Hanover, 08.–11.11.2006). Deutsches Institut für Kautschuktechnologie, Hanover (2006), pp. 393–406
Kautz, S., Giese, U.: Characterisation of diffusion limited ageing processes of rubbers. In: Deutsche Kautschuk-Tagung (Nuremberg, 02.–05.06.2012). Deutsche Kautschuk-Gesell-schaft, Nuremberg (2012), University Session
Steinke, L., Weltin, U., Flamm, M., Lion, A., Celina, M.: Numerical analysis of the heterogeneous ageing of rubber products. In: Jerrams, S., Murphy, N. (eds.) Constitutive Models for Rubber VII. CRC Press, Boca Raton (2011), pp. 155–160
Green, M.S., Tobolsky, A.V.: A new approach to the theory of relaxing polymeric media. Journal of Chemical Physics 14, 80–92 (1946)
Tobolsky, A. V.: Properties and Structures of Polymers. Wiley Series on the Science and Technology of Materials, Vol. 2. Wiley, New York (1960)
Beckmann, W.: Gasdurchlässigkeit von Elastomeren. KGK—Kautsch. Gummi Kunstst. 44, 323–329 (1991)
Acknowledgements
The author gratefully acknowledges the fruitful discussions and support within the CAE and testing department of FNT, namely to Steffen Bohrmann, Christian Gross, Volkmar Mehling, Christian Ziegler.
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Baaser, H. (2017). Ageing of Polymer Materials—Testing, Modelling and Simulation Considering Diffusion. In: Grellmann, W., Langer, B. (eds) Deformation and Fracture Behaviour of Polymer Materials. Springer Series in Materials Science, vol 247. Springer, Cham. https://doi.org/10.1007/978-3-319-41879-7_29
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DOI: https://doi.org/10.1007/978-3-319-41879-7_29
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