A thermodynamical model for paleomagnetism in Earth's crust

被引:3
|
作者
Roubicek, Tomas [1 ,2 ]
机构
[1] Charles Univ Prague, Math Inst, Sokolovska 83, CZ-18675 Prague 8, Czech Republic
[2] Czech Acad Sci, Inst Thermomech, Prague 8, Czech Republic
关键词
Thermo-viscoelasticity; creep; Euler description; ferro-paramagnetic transition; melting; solidification; objective time derivatives; weak solutions; EQUATIONS;
D O I
10.1177/10812865221093281
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A thermodynamically consistent model for soft deformable viscoelastic magnets is formulated in actual space (Eulerian) coordinates. The possibility of a ferro-paramagnetic-type (or ferri-antiferromagnetic) transition exploiting the Landau phase-transition theory as well as mechanical melting or solidification is considered, being motivated and applicable to paleomagnetism (involving both thermo- and isothermal and viscous remanent magnetization) in rocks in Earth's crust and to rock-magma transition. The temperature-dependent Jeffreys rheology in the deviatoric part combined with the Kelvin-Voigt rheology in the spherical (volumetric) part is used. The energy balance and the entropy imbalance behind the model are demonstrated, and its analysis is performed by time discretization, proving existence of weak solutions.
引用
收藏
页码:1063 / 1090
页数:28
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