Editing Magnetostriction (section)

===Constitutive behavior of magnetostrictive materials===
These materials generally show non-linear behavior with a change in applied magnetic field or stress. For small magnetic fields, linear piezomagnetic constitutive<ref>{{Cite book|last=Isaak D|first=Mayergoyz|title=Handbook of giant magnetostrictive materials|publisher=Elsevier|year=1999|isbn=|location=|pages=}}</ref> behavior is enough. Non-linear magnetic behavior is captured using a classical macroscopic model such as the [[Preisach model of hysteresis|Preisach model]]<ref>{{Cite journal|last=Preisach|first=F.|date=May 1935|title=Über die magnetische Nachwirkung|url=http://link.springer.com/10.1007/BF01349418|journal=Zeitschrift für Physik|language=de|volume=94|issue=5–6|pages=277–302|doi=10.1007/BF01349418|bibcode=1935ZPhy...94..277P |s2cid=122409841|issn=1434-6001|via=}}</ref> and Jiles-Atherton model.<ref>{{Cite journal|last1=Jiles|first1=D. C.|last2=Atherton|first2=D. L.|date=1984-03-15|title=Theory of ferromagnetic hysteresis (invited)|url=http://aip.scitation.org/doi/10.1063/1.333582|journal=Journal of Applied Physics|language=en|volume=55|issue=6|pages=2115–2120|doi=10.1063/1.333582|bibcode=1984JAP....55.2115J|issn=0021-8979}}</ref> For capturing magneto-mechanical behavior, Armstrong<ref>{{Cite journal|last=Armstrong|first=William D.|date=1997-04-15|title=Burst magnetostriction in Tb0.3Dy0.7Fe1.9|url=http://aip.scitation.org/doi/10.1063/1.364992|journal=Journal of Applied Physics|language=en|volume=81|issue=8|pages=3548–3554|doi=10.1063/1.364992|bibcode=1997JAP....81.3548A|issn=0021-8979}}</ref> proposed an "energy average" approach. More recently, Wahi ''et al.''<ref>{{Cite journal|last1=Wahi|first1=Sajan K.|last2=Kumar|first2=Manik|last3=Santapuri|first3=Sushma|last4=Dapino|first4=Marcelo J.|date=2019-06-07|title=Computationally efficient locally linearized constitutive model for magnetostrictive materials|journal=Journal of Applied Physics|language=en|volume=125|issue=21|pages=215108|doi=10.1063/1.5086953|bibcode=2019JAP...125u5108W|s2cid=189954942 |issn=0021-8979|doi-access=free}}</ref> have proposed a computationally efficient [[constitutive equation|constitutive]] model wherein constitutive behavior is captured using a "locally linearizing" scheme.