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V.V. Mokryakov, "Strength Analysis of an Elastic Plane Containing a Square Lattice of Circular Holes under Mechanical Loading," Mech. Solids. 49 (5), 568-577 (2014)
Year 2014 Volume 49 Number 5 Pages 568-577
DOI 10.3103/S0025654414050082
Title Strength Analysis of an Elastic Plane Containing a Square Lattice of Circular Holes under Mechanical Loading
Author(s) V.V. Mokryakov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, vmokryakov@mail.ru, mokr@ipmnet.ru)
Abstract 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.
Keywords elasticity, hole, strength, stress concentration, extension, compression, anisotropy
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Received 25 October 2012
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