Models of Hysteresis and Applications
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The phenomenon of hysteresis occurs in a large number of practical situations and plays a very important role in areas like ferro-magnetism, ferro-electricity, phase transitions from solid to liquid or liquid to solid. In spite of the fact that this concept has varieties of significant applications in scientific problems, its systematic study started quite late. However, in the last couple of years, two proceedings of the conferences, edited by Visintin [1993, 1994] and four monographs by Brokate and Sprekels ; Krasnosel’skii, and Pokrovskii , Mayergoyz  and Visintin  have appeared, besides a large number of research papers on applications of the concept, especially in the estimation of life-time of machines. These publications are attracting the attention of fairly large number of mathematicians and engineers. The main goal of this chapter is to familiarize the readers with the basic tools and techniques of this field which may prove vital for industrial applications. It may be observed that this area still requires intensive study and there is no dearth of challenging problems.
KeywordsHysteresis Loop Input String Fatigue Analysis Play Operator Preisach Model
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