Abstract
This paper deals with a general approach to rate-independent processes, which may have hysteretic behaviour. Such processes play an important role in mechanics, engineering and arises whenever the systems under consideration excited quasistatically. This approach is based on an energy functional I(t, ·) and a dissipation functional Δ. We study the upper and lower semicontinuity of a stable set for (I ε, Δ), ε ≥ 0, and the uniqueness question.
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References
Efendiev, M.A. (2001) On compactness of the stable set for for rate-independent processes. Preprint SFB 404, N17
Mielke, A., Theil, F. (2001) On rate-independent hysteresis models. Preprint SFB 404, N7
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© 2003 Springer-Verlag Berlin Heidelberg
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Efendiev, M.A. (2003). Upper and lower semicontinuity of a stable set for rate-independent processes. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_7
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DOI: https://doi.org/10.1007/978-3-540-36527-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
Online ISBN: 978-3-540-36527-3
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