Validity of linear elasticity in the crack-tip region of ideal brittle solids

被引：19

作者：

Singh, Gaurav ^{[1
]}

Kermode, James R. ^{[2
]}

De Vita, Alessandro ^{[2
,3
]}

Zimmerman, Robert W. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Earth Sci & Engn, London SW7 2AZ, England

[2] Kings Coll London, Dept Phys, London WC2R 2LS, England

[3] CENMAT UTS, I-34127 Trieste, Italy

来源：

INTERNATIONAL JOURNAL OF FRACTURE | 2014年 / 189卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Crack; Singularity; Elasticity; Brittle; FRACTURE; INSTABILITIES; PLASTICITY; STRESS;

D O I：

10.1007/s10704-014-9958-0

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

It is a well known that, according to classical elasticity, the stress in the crack-tip region is singular, which has led to a debate over the validity of linear elasticity in this region. In this work, comparisons of finite and small strain theories have been made in the crack-tip region of a brittle crystal to comment on the validity of linear elasticity in the crack tip region. We find that linear elasticity is capable of accurately defining the state of stress very close (1 nm) to a static crack tip.

引用

页码：103 / 110

页数：8