Creep and recrystallization of large polycrystalline masses Part I: General continuum theory

Sérgio H. Faria

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Submission date: 25. Oct. 2004
Pages: 22
published in: Proceedings of the Royal Society of London / A, 462 (2006) 2069, p. 1493-1514 
DOI number (of the published article): 10.1098/rspa.2005.1610
Bibtex
MSC-Numbers: 86A04, 74A35, 74A15
PACS-Numbers: 91.10.Rn, 91.60.Dc, 46.05.+b
Keywords and phrases: continuous diversity, polycrystal, thermodynamics
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Abstract:
This is the first of a series of works on the continuum mechanics and thermodynamics of creep and recrystallization in large polycrystalline masses, including fabric (i.e., texture) evolution, anisotropic material response and recrystallization e ects. The general continuum theory presented in this first part is suited to mono- and multi-mineral rocks and encompasses several symmetry groups, including transversely isotropic and orthotropic, as well as diverse crystal classes of triclinic, monoclinic and rhombic systems, among others. The theory is based on the formalism of mixtures with continuous diversity, by reckoning the polycrystal as a mixture of lattice orientations . Following this picture, balance equations of mass, linear momentum, lattice spin, internal and total energy, dislocations and entropy are set forth to describe the response of the polycrystal (i.e., the mixture ) and also of crystallites with particular lattice orientations (viz., the species ). The connection between the species balance equations an the balance equations for the polycrystal is given by means of homogenization rules, formulated for every field of the theory.doi:10.1098/rspa.2005.1610