DERIVATION OF A GENERAL 3-DIMENSIONAL CRACK-PROPAGATION LAW - A GENERALIZATION OF THE PRINCIPLE OF LOCAL SYMMETRY

被引:50
作者
HODGDON, JA
SETHNA, JP
机构
[1] CORNELL UNIV,ATOM & SOLID STATE PHYS LAB,ITHACA,NY 14853
[2] TECH UNIV DENMARK,APPL PHYS LAB,DK-2800 LYNGBY,DENMARK
[3] NORDITA,DK-2100 COPENHAGEN,DENMARK
来源
PHYSICAL REVIEW B | 1993年 / 47卷 / 09期
关键词
D O I
10.1103/PhysRevB.47.4831
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We derive a general crack-propagation law for slow brittle cracking, in two and three dimensions, using discrete symmetries, gauge invariance, and gradient expansions. Our derivation provides explicit justification for the ''principle of local symmetry,'' which has been used extensively to describe two-dimensional crack growth, but goes beyond that principle to describe three-dimensional crack phenomena as well. We also find that there are materials properties needed to describe the growth of general cracks in three dimensions, besides the fracture toughness and elastic constants previously used to describe cracking.
引用
收藏
页码:4831 / 4840
页数:10
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