August  2015, 8(4): 649-691. doi: 10.3934/dcdss.2015.8.649

Rate-independent memory in magneto-elastic materials

1. 

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

Received  February 2014 Revised  July 2014 Published  October 2014

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.
Citation: Daniele Davino, Ciro Visone. Rate-independent memory in magneto-elastic materials. Discrete & Continuous Dynamical Systems - S, 2015, 8 (4) : 649-691. doi: 10.3934/dcdss.2015.8.649
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show all references

References:
[1]

Smart Materials and Structures, 20 (2011), 043001. doi: 10.1088/0964-1726/20/4/043001.  Google Scholar

[2]

Academic Press, 1998. Google Scholar

[3]

Elsevier, 2006. Google Scholar

[4]

IEEE Transactions on Magnetics, 25 (1989), 2922-2924. doi: 10.1109/20.34325.  Google Scholar

[5]

Appl. Math. Sci., 121, Springer-Verlag, New York, 1996. doi: 10.1007/978-1-4612-4048-8.  Google Scholar

[6]

Comptes rend., 91 (1880), 294-295. Google Scholar

[7]

Comptes rend., 93 (1881), 1137-1140. Google Scholar

[8]

J. of Magnetism and Mag. Mat.(JMMM), 290-291 (2005), 1351-1354. doi: 10.1016/j.jmmm.2004.11.435.  Google Scholar

[9]

IEEE Transactions on Industrial Electronics, 58 (2001), 2556-2564. doi: 10.1109/TIE.2010.2062477.  Google Scholar

[10]

in Smart Actuation and Sensing Systems - Recent Advances and Future Challenges (ed. Giovanni Berselli), Chapter 6, InTech, 2012. doi: 10.5772/51388.  Google Scholar

[11]

Academic Press, 2000. Google Scholar

[12]

IEEE Transactions on Control Syst. Tech., 4(1996), 209-216. Google Scholar

[13]

Philosophical Magazine Series 3, 30 (1847), 76-87. doi: 10.1080/14786444708645656.  Google Scholar

[14]

Translated from the Russian by Marek Niezgódka, Springer-Verlag, Berlin, 1989. doi: 10.1007/978-3-642-61302-9.  Google Scholar

[15]

Gakuto Int. Ser. Math. Sci. Appl., Vol. 8, Gakkōtosho, Tokyo, 1996.  Google Scholar

[16]

Math. Zeit., 193 (1986), 247-264. doi: 10.1007/BF01174335.  Google Scholar

[17]

Apl. Mat., 34 (1989), 364-374.  Google Scholar

[18]

Ann. Phys., 17 (1905), 861-890. Google Scholar

[19]

Springer, 1991. doi: 10.2172/6911694.  Google Scholar

[20]

Nature Materials, 12 (2013), 11-12. doi: 10.1038/nmat3516.  Google Scholar

[21]

Zeit. für Physik., 94 (1935), 277-302. Google Scholar

[22]

IEEE Transactions on Magnetics, 42 (2006), 3087-3089. doi: 10.1109/TMAG.2006.878395.  Google Scholar

[23]

Sensors and Actuators A, 49 (1995), 97-102. Google Scholar

[24]

Applied Mathematical Sciences, 111, Springer-Verlag, Berlin, 1994. doi: 10.1007/978-3-662-11557-2.  Google Scholar

[25]

Arch. Sci. Phys. Nat., 42 (1916), 449. Google Scholar

[26]

Metallography, 20 (1987), 359-376. Google Scholar

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