Propagation of Slepyan's crack in a non-uniform elastic lattice

被引：28
|
作者：
Nieves, M. J. [1 ]
Movchan, A. B. [2 ]
Jones, I. S. [1 ]
Mishuris, G. S. [3 ]
机构：
[1] Liverpool John Moores Univ, Sch Engn, Liverpool L3 3AF, Merseyside, England
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
[3] Aberystwyth Univ, Inst Math & Phys, Aberystwyth SY23 3BZ, Dyfed, Wales
来源：
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2013年 / 61卷 / 06期
基金：
英国工程与自然科学研究理事会;
关键词：
Inhomogeneous lattice; Semi-infinite crack; Wiener-Hopf technique; Energy release rate ratio; Stress intensity factor; DISSIPATIVE WAVES; PHASE-TRANSITION; FRACTURE; INSTABILITY;
D O I：
10.1016/j.jmps.2012.12.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1464 / 1488
页数：25
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