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Mathematics of Hysteretic Phenomena

Mathematics of Hysteretic Phenomena

Jenõ Takács

ISBN: 978-3-527-60652-8

Apr 2006

173 pages

Select type: O-Book

Description

Starting with the mathematical modeling of classical problems of hysteretic phenomena, the author provides an insight into the physics of the inverse hysteresis, higher order reversal loops, accommodation, viscosity, creep, wasp-waisted loops and hysteretic coupled systems. Adopting a novel approach, he presents the T(x) model and applies it successfully to describe most, if not all, important phenomena in magnetism. Thus, not only scientists in physics and applied mathematics will benefit from this analytical tool, but also engineers working in magnetic circuit design will gain a mathematical tool for their work. Moreover, designers of magnets and magnetic components will equally profit from the book, as will researchers from other branches of physics, technology and natural sciences.
SATURATION EFFECT
HYSTERETIC PHENOMENA
NON-HYSTERETIC PROCESSES
REVERSAL LOOPS
REMANENT MAGNETISM
PERMEABILITY AND SHEARING
MAGNETIC ENERGY
TIME FUNCTIONS AND MAGNETISM
MAGNETIC TRANSIENT OR ACCOMMODATION
MAGNETIC RECORDING
OTHER HYSTERETIC PHENOMENA
HYSTERESIS INDEPENDENT OF FIELD DIRECTION