Five decades of the Zener equation

被引：632
作者：
Manohar, PA [1 ]
Ferry, M [1 ]
Chandra, T [1 ]
机构：
[1] Univ Wollongong, Dept Mat Engn, Wollongong, NSW 2522, Australia
来源：
ISIJ INTERNATIONAL | 1998年 / 38卷 / 09期
关键词：
Zener equation; particle pinning; limiting grain size; recovery; recrystallization; grain growth;
D O I：
10.2355/isijinternational.38.913
中图分类号：
TF [冶金工业];
学科分类号：
0806 ;
摘要：
The Zener equation was first reported by C. S. Smith in 1948 and since then it has become an integral part of any theory which deals with recovery, recrystallization and grain growth in particle-containing materials. Several modifications to the original equation have been made over the past five decades to improve its applicability to more realistic situations. This paper summarises these modifications and discusses which modifications are reasonable and justifiable based on the analytical models and experimental evidence reported in the literature. Several examples of the applications of the equation are provided to describe annealing phenomena in a wide variety of materials. The paper also examines the impact of the equation in the field of materials science and engineering and suggests a direction for its future development.
引用
收藏
页码：913 / 924
页数：12
相关论文
共 83 条
[1]   RELATIONSHIP BETWEEN SIZE OF CEMENTITE PARTICLES AND SUBGRAIN SIZE IN QUENCHED AND TEMPERED STEELS [J].
ANAND, L ;
GURLAND, J .
METALLURGICAL TRANSACTIONS, 1975, A 6 (04) :928-931
[2]  
ANDERSEN I, 1995, ACTA METALL MATER, V43, P2689, DOI 10.1016/0956-7151(94)00489-5
[3]   INHIBITION OF GRAIN-GROWTH BY 2ND PHASE PARTICLES - 3 DIMENSIONAL MONTE-CARLO COMPUTER-SIMULATIONS [J].
ANDERSON, MP ;
GREST, GS ;
DOHERTY, RD ;
LI, K ;
SROLOVITZ, DJ .
SCRIPTA METALLURGICA, 1989, 23 (05) :753-758
[4]  
[Anonymous], P 1 INT RIS S RIS DE
[5]  
[Anonymous], P 1 INT RIS S RIS DE
[6]  
ARIETA FG, 1993, P INT S LOW CARB STE, P101
[7]  
ASHBY MF, 1969, T METALL SOC AIME, V245, P413
[8]   Effect of precipitation on the evolution of cube recrystallisation texture [J].
Benum, S ;
Nes, E .
ACTA MATERIALIA, 1997, 45 (11) :4593-4602
[9]   EFFECTS OF 2ND-PHASE PARTICLES ON COARSENING OF AUSTENITE IN 0.15 PCT CARBON-STEELS [J].
BEPARI, MA .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1989, 20 (01) :13-16
[10]   Abnormal grain growth in a medium-carbon microalloyed steel [J].
Cabrera, JM ;
AlOmar, A ;
Prado, JM .
JOURNAL OF MATERIALS SCIENCE, 1996, 31 (05) :1303-1309
123456789