Evolution of crystallographic orientations in crystals subject to random and deterministic deformation

被引：2

作者：

Arwade, SR ^{[1
]}

Grigoriu, M

机构：

[1] Johns Hopkins Univ, Dept Civil Engn, Baltimore, MD 21202 USA

[2] Cornell Univ, Sch Civil & Environm Engn, Ithaca, NY 14850 USA

来源：

PROBABILISTIC ENGINEERING MECHANICS | 2003年 / 18卷 / 04期

关键词：

crystallographic orientation; random processes; Fokker-Planck equation; material heterogeneity;

D O I：

10.1016/S0266-8920(03)00032-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The response of polycrystals to deterministic and random deformations is investigated with respect to the evolution of the crystallographic orientation and its probability density function, the ODF. The crystals analyzed are highly simplified, being two-dimensional and with only two active slip systems. A differential equation is derived which governs the evolution of the orientation under arbitrary applied inelastic deformation. Evolution of the ODF is analyzed by either solution of a Fokker-Planck equation or Monte Carlo simulation. Two main results are presented. Applied deformation tends to reduce heterogeneity of polycrystals with an initially uniform ODF. The presence of randomness in the applied deformation leads the ODF to evolve to forms which are not obtained under any form of deterministic deformation. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：289 / 299

页数：11

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