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Accuracy of Approximation of Stress and Displacement Fields in Cracked Body for Estimation of Failure Zone Extent

Jakub Sobek, Vaclav Vesely, Lucie Sestakova
Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series
2012, Volume 12, Issue 2, Pages 170-179
Doi: 10.2478/v10160-012-0031-5
The paper deals with an analysis of the stress and displacement fields in a cracked body. The intention of the authors is to determine the sufficient number of terms of the Williams power series for an accurate approximation of the near-crack-tip fields which can be subsequently used e.g. for estimation of the extent of the fracture process zone in quasi-brittle materials. Values of coefficients of these terms are determined via regression from results of numerical simulations; the coefficients are expressed as functions of the relative crack length. The analysis is conducted on a 2D numerical model of the wedge-splitting test on a modified standard cube-shaped specimen used commonly for testing of cementitious composites; ANSYS FE computational system is employed.
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