A representation result for rate-independent systems
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- 作者：Olaf Klein ; olaf.klein@wias-berlin.de" class="auth_mail" title="E-mail the corresponding author ;
- 关键词：Rate-independent systems
- 刊名：Physica B: Physics of Condensed Matter
- 出版年：2016
- 出版时间：1 April 2016
- 年：2016
- 卷：486
- 期：Complete
- 页码：81-83
- 全文大小：370 K
文摘
The representation formula for hysteresis operators acting on scalar-valued continuous input functions being piecewise monotone that was derived in Brokate and Sprekels (1996) [1] has been extended to results for hysteresis operators acting on vectorial input function, see Klein (2012, 2014) 2, 3, 4 and 5.
In the current paper, the representation result is extended to rate-independent systems, as considered for example in Mielke (2005) [9]. The input functions are requested to be continuous and to be piecewise strictly monotaffine, i.e. to be piecewise the composition of a strictly monotone increasing function with an affine function, the strictly monotone function being applied first.