Accuracy of Approximation of Stress and Displacement Fields in Cracked Body for Estimation of Failure Zone Extent / Přesnost Aproximace Polí Napětí A Posunů V Tělese S Trhlinou Pro Odhad Rozsahu Zóny Porušení

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.