A MATHEMATICAL METHOD FOR THE CALCULATION OF LEDGE GROWTH-KINETICS

被引：11

作者：

ATKINSON, C

机构：

[1] Department of Mathematics, Imperial College of Science, Technology and Medicine, London

来源：

METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE | 1991年 / 22卷 / 06期

关键词：

D O I：

10.1007/BF02660652

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A method outlined in a recent paper by Atkinson and Wilmott[1] is applied here to the transient motion of a finite train of steps, particular attention being given to two- and three-step trains where the steps are sufficiently far apart. The resulting integro-differential equations which govern the step motions are solved numerically for some model situations, and some qualitative agreement with the extensive numerical calculations of Enomoto[2,3] is found. Equations are also derived for the case when two steps come close together, but numerical implementation of this case is still to be made.

引用

页码：1211 / 1218

页数：8

共 11 条

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ATKINSON, C ;

WILMOTT, P .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 426 (1871) :377-389

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[4] THE GROWTH-KINETICS OF LEDGES DURING PHASE-TRANSFORMATIONS - MULTISTEP INTERACTIONS [J].

ATKINSON, C .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 384 (1786) :107-133

[5] COMPUTER MODELING OF THE GROWTH-KINETICS OF LEDGED INTERPHASE BOUNDARIES .2. FINITE TRAIN OF STEPS [J].

ENOMOTO, M .

ACTA METALLURGICA, 1987, 35 (04) :947-956

[6] COMPUTER MODELING OF THE GROWTH-KINETICS OF LEDGED INTERPHASE BOUNDARIES .1. SINGLE STEP AND INFINITE TRAIN OF STEPS [J].

ENOMOTO, M .

ACTA METALLURGICA, 1987, 35 (04) :935-945

[7] LATERAL GROWTH IN SOLID-SOLID PHASE TRASFORMATIONS [J].

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TRIVEDI, RK .

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[8]

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[10]

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