Strength analysis of an elastic plane containing a square lattice of circular holes under mechanical loading

被引:2
作者
Mokryakov, V. V. [1 ]
机构
[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow 119526, Russia
基金
俄罗斯基础研究基金会;
关键词
elasticity; hole; strength; stress concentration; extension; compression; anisotropy; STRESS AMPLIFICATION; ASYMPTOTIC ANALYSIS; PERFORATED PLATES; ARRAY; TENSION;
D O I
10.3103/S0025654414050082
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The strength characteristics of an elastic plane weakened by a square lattice of circular holes are considered. The stress concentrations in three distinct lattices under the conditions of uniaxial tension/compression in various directions are studied. The minimum and maximum values of the stress concentrations are calculated, and the stress fields in various lattices are considered. We show that under the compression conditions fracture can occur inside the material rather than on the hole boundaries. It is demonstrated that in dense lattices the stress concentrations exhibit power-law dependence on the structure parameter equal to the ratio of the length of the interval between the holes to the hole radius.
引用
收藏
页码:568 / 577
页数:10
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