Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity |
| |
Authors: | Luca Placidi Kolumban Hutter |
| |
Affiliation: | (1) Smart Structure Laboratory of Cisterna di Latina, University of Rome La Sapienza, Palazzo Caetani (Ala Nord), 04012 Cisterna di Latina (LT), Italy;(2) Bergstrasse 5, 8044 Zürich, Switzerland;(3) formerly Department of Mechanics, Darmstadt University of Technology, Hochschulstr. 1, 64289 Darmstadt, Germany |
| |
Abstract: | The physics of polycrystalline materials is described via microscopic processes such as grain boundary migration, grain growth, grain rotation, polygonization (the bending and breaking of crystallites) and evolution of dislocation density. The importance of taking these processes into account lies in their influence on the macroscopic mechanical behaviour of the material. Constitutive equations to describe such phenomena have been proposed in the literature. The main result of this paper is to give a general and thermodynamically consistent approach for such constitutive equations. The framework of the Theory of Mixtures with Continuous Diversity (TMCD) is used. The inclusion of both orientation and grain-size distributions is presented in this paper for the first time. Their introduction requires the formulation of a new and general constitutive theory that is, therefore, given. The method of Lagrange multipliers used in the context of the entropy principle (Liu, Arch. Rat. Mech. Anal. 46, 131–148 (1972)) provides the restrictions of the second law of thermodynamics on the constitutive equations. The success of this work is that all the main results present in the literature can be incorporated in this framework. |
| |
Keywords: | Microstructural materials Mixtures Thermodynamic field theories Continuous diversity Constitutive theories Polycrystalline materials Ice mechanics Induced anisotropy |
本文献已被 SpringerLink 等数据库收录! |
|