Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism

التفاصيل البيبلوغرافية
العنوان: Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism
المؤلفون: Roubíček, Tomáš
سنة النشر: 2023
المجموعة: Mathematics
Physics (Other)
مصطلحات موضوعية: Physics - Geophysics, Mathematics - Analysis of PDEs, 86A25, 35Q86, 74N30, 74F15
الوصف: The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates with the aim to describe thermoremanent paleomagnetism in crustal rocks. The Landau theory applied to a ferro-to-para-magnetic phase transition, the gradient theory for magnetization (leading to exchange energy) with general mechanically dependent coefficient, hysteresis in magnetization evolution by Gilbert equation involving objective corotational time derivative of magnetization, and demagnetizing field are considered in the model. The Jeffreys viscoelastic rheology is used with temperature-dependent creep to model solidification or melting transition. The model complies with energy conservation and the Clausius-Duhem entropy inequality.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2307.11826
رقم الأكسشن: edsarx.2307.11826
قاعدة البيانات: arXiv