CRACK-PROPAGATION IN A DYNAMIC FUSE MODEL OF ELECTROMIGRATION

被引:8
作者
BRADLEY, RM
WU, K
机构
[1] Dept. of Phys., Colorado State Univ., Fort Collins, CO
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 02期
关键词
D O I
10.1088/0305-4470/27/2/017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a dynamic fuse model for the damage done to a metal thin film by electromigration, and study the growth of a single crack that is perpendicular to the direction of the ambient current. As the crack length 2x grows large, the velocity of the crack tips upsilon scales as upsilon(x) similar to x(alpha). We argue that the value of the exponent alpha is exactly 2. This result is in excellent agreement with our numerical work.
引用
收藏
页码:327 / 333
页数:7
相关论文
共 33 条
[1]   THEORY OF DIELECTRIC-BREAKDOWN IN METAL-LOADED DIELECTRICS [J].
BEALE, PD ;
DUXBURY, PM .
PHYSICAL REVIEW B, 1988, 37 (06) :2785-2791
[2]   ELASTIC FRACTURE IN RANDOM MATERIALS [J].
BEALE, PD ;
SROLOVITZ, DJ .
PHYSICAL REVIEW B, 1988, 37 (10) :5500-5507
[3]   MODEL FOR DIELECTRIC-BREAKDOWN IN METAL-INSULATOR COMPOSITES [J].
BOWMAN, DR ;
STROUD, D .
PHYSICAL REVIEW B, 1989, 40 (07) :4641-4650
[4]   FINITE-VOLTAGE BEHAVIOR OF HIGHLY-DISORDERED GRANULAR SUPERCONDUCTORS [J].
BRADLEY, RM ;
KUNG, D ;
STRENSKI, PN ;
DONIACH, S .
PHYSICA B, 1988, 152 (1-2) :282-287
[5]   Non-linear conductivity of granular superconductors: a novel breakdown problem [J].
BRADLEY, RM ;
KUNG, D ;
DONIACH, S ;
STRENSKI, PN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (14) :L911-L916
[6]   MOLECULAR DYNAMIC STUDY OF FRACTURE IN 2D DISORDERED ELASTIC LENNARD-JONES SOLIDS [J].
CHAKRABARTI, BK ;
CHOWDHURY, D ;
STAUFFER, D .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1986, 62 (03) :343-347
[7]   INSULATION BREAKDOWN IN A RANDOM NON-PERCOLATING NETWORK OF CONDUCTORS [J].
CHAKRABARTI, BK ;
BARDHAN, KK ;
RAY, P .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1987, 20 (04) :L57-L60
[8]  
d'Heurle F. M., 1978, THIN FILMS INTERDIFF
[9]   RANDOM FUSE MODEL FOR BREAKING PROCESSES. [J].
de Arcangelis, L. ;
Redner, S. .
Journal de physique. Lettres, 1985, 46 (13) :585-590
[10]   THE FAILURE DISTRIBUTION IN PERCOLATION MODELS OF BREAKDOWN [J].
DUXBURY, PM ;
LEATH, PL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (06) :L411-L415