Brittle fracture of an elastic layer with a defect in the form of a circle under biaxial loading

Author:

Glagolev V. V.1,Markin A. A.1

Affiliation:

1. Tula State University

Abstract

Based on experimental data on the combined loading of an infinite layer weakened by a circular hole in a brittle material, its critical state, determined by the energy criterion, is modeled. The failure criterion is related to the free energy flow through the interaction arc and the linear size. The proposed approach allows us to reflect the dependence of the critical external load on the radius of curvature. A procedure for determining the value of the linear size is proposed and implemented. Using known experimental results, an estimate of the introduced linear parameter for a layer of GVVS-16 gypsum was obtained.

Publisher

The Russian Academy of Sciences

Reference11 articles.

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2. C. E. Inglis, “Stresses in a plate due to the presence of cracks and sharp corners,” Trans. Roy. Inst. Naval Archit. 55, 219–230 (1913).

3. A. G. Ugodchikov, Solution of the Theory of Elasticity Problems by Functions of a Complex Variable Methods (NNGU, N. Novgorod, 2001) [in Russian].

4. G. Kirsch, “Die Theorie der Elastizitat und Bedurfnisse der Festigkeitslehre,” Z. Ver. Dtsch. Ing. 42, 797–807 (1898).

5. J. Li and X. B. Zhang, “A criterion study for non-singular stress concentrations in brittle or quasi-brittle materials,” Eng. Fract. Mech. 73 (4), 505–523 (2006). https://doi.org/10.1016/j.engfracmech.2005.09.001

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