Admissible Steady-State Regimes of Crack Propagation in a Square-Cell Lattice

被引:6
作者
Gorbushin, N. A. [1 ]
Mishuris, G. S. [1 ]
机构
[1] Aberystwyth Univ, Penglais Campus, Aberystwyth SY23 3FL, Dyfed, Wales
关键词
dynamic fracture of the lattice; stable crack propagation; DYNAMIC WEIGHT-FUNCTIONS; MOVING CRACK; FRACTURE; TRANSITION; MODELS;
D O I
10.3103/S0025654417050090
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the authors return to the classical problem of crack propagation in a lattice. The authors study the problems concerned with the possible regimes of stable steady-state crack propagation in an anisotropic lattice. They show that the steady-state crack propagation is impossible for some relations between the strength and elastic properties of the lattice. The authors also discuss the possibility of stable crack propagation at low speeds.
引用
收藏
页码:541 / 548
页数:8
相关论文
共 34 条
[1]   Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation [J].
Ayzenberg-Stepanenko, Mark ;
Mishuris, Gennady ;
Slepyan, Leonid .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 470 (2167)
[3]   Instability in dynamic fracture [J].
Fineberg, J ;
Marder, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 313 (1-2) :1-108
[4]   Continuum and atomistic studies of intersonic crack propagation [J].
Gao, HJ ;
Huang, YG ;
Abraham, FF .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2001, 49 (09) :2113-2132
[5]  
Gorbushin N., 2017, ARXIV170102725
[6]  
Gorbushin N., 2017, ARXIV170104818
[7]  
Gorbushin N., 2016, MATH MECH APPL SCI
[8]  
Griffith G.-A., 1921, Philos. Trans. R. Soc. London, V221, P163, DOI [10.1098/rsta.1921.0006, DOI 10.1098/RSTA.1921.0006]
[9]  
Kulakhmetova Sh. A., 1984, Mechanics of Solids, V19, P102
[10]   ORIGIN OF CRACK-TIP INSTABILITIES [J].
MARDER, M ;
GROSS, S .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1995, 43 (01) :1-48