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IssuesArchive of Issues2016-4pp.424-435

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V.V. Mokryakov, "Stress Concentration Localization in Doubly Periodic Square Systems of Circular Holes in Uniaxial Compression," Mech. Solids. 51 (4), 424-435 (2016)
Year 2016 Volume 51 Number 4 Pages 424-435
DOI 10.3103/S0025654416040063
Title Stress Concentration Localization in Doubly Periodic Square Systems of Circular Holes in Uniaxial Compression
Author(s) V.V. Mokryakov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, mokr@ipmnet.ru)
Abstract We consider the stress concentration points in infinite elastic doubly periodic perforated plates (lattices) under the conditions of external uniaxial compression. Special attention is paid to the internal localization of stress concentrations (i.e., to the case of stress concentration origination inside the material rather than on the boundaries of the holes). We consider a parametric domain (depending on the angle of application of the external load and the structure parameter of the lattice) and calculate the domain dimensions (the extreme values of the parameters). We discover a point in the parametric domain at which the following three cases of fracture initiation are possible: two cases on the hole contour and one case inside the material.
Keywords elasticity, doubly periodic lattice, circular holes, strength, stress concentration, compression, fracture initiation
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Received 20 January 2014
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