Rate-independent memory in magneto-elastic materials

Daniele Davino; Ciro Visone

doi:10.3934/dcdss.2015.8.649

Article Contents

2015, Volume 8, Issue 4: 649-691. Doi: 10.3934/dcdss.2015.8.649

This issue Previous Article Preface: Special issue on rate-independent evolutions and hysteresis modelling Next Article Phase-field models for transition phenomena in materials with hysteresis

Rate-independent memory in magneto-elastic materials

Daniele Davino^1, and
Ciro Visone^1,

1.
Università degli Studi del Sannio, P.zza Roma, 21 - 82100, Benevento

Received: February 2014

Revised: July 2014

Published: August 2015

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Abstract

These notes origin from a group of lectures given at the Spring School on ``Rate-independent evolutions and hysteresis modelling'' (Hystry 2013), held at Politecnico di Milano and at Università degli Studi di Milano, from May 27 until May 31, 2013. They are addressed to Graduate students in mathematics and applied science, interested in modeling rate-independent effects in smart systems. Therefore, they aim to provide the basic issues concerning modeling of multi-functional materials showing memory phenomena, with emphasis to magnetostrictives, in view of their application to the design of smart devices. Such tutorial summarizes several years activity on these issues that involved the cooperation with several colleagues, among all Dr. P. Krejčí, with whom the authors are indebted.

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Mathematics Subject Classification: Primary: 97M10, 93C95; Secondary: 94-01.

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