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MiS Preprint
71/2004

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

Sérgio H. Faria

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.

Received:
Oct 25, 2004
Published:
Oct 25, 2004
MSC Codes:
86A04, 74A35, 74A15
PACS:
91.10.Rn, 91.60.Dc, 46.05.+b
Keywords:
continuous diversity, polycrystal, thermodynamics

Related publications

inJournal
2006 Repository Open Access
Sérgio H. Faria

Creep and recrystallization of large polycrystalline masses. Pt. 1 : General continuum theory

In: Proceedings of the Royal Society of London / A, 462 (2006) 2069, pp. 1493-1514