Numerical analysis of a semi-circular disc with an angled crack loaded in mixed-mode
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A semi-circular disc with an angled crack loaded in mixed-mode (mode I + II) was chosen for a numerical analysis of crack deflection angles. Although the mode I of loading is often dominant in engineering praxis, lots of structures are subjected at least at the beginning of the crack propagation to a mixed-mode loading. Therefore, it is necessary to study the crack behaviour under such conditions and it has been shown that the multi-parameter fracture mechanics approach can be useful in this case of loading. Thus, various cracked configurations of the semi-circular disc were simulated numerically under three-point bending and a generalized form of selected fracture criteria is applied to calculate the crack deflection angle. It is discussed, which configurations can be safely described by means of the classical single-parameter fracture mechanics (i.e. only the stress intensity factors KI and KII controls the crack propagation), and which ones shall be analysed via multi-parameter fracture mechanics based on the Williams expansion. As the result, several configurations of the semi-circular disc with an angled crack under three-point bending are recommended to be tested experimentally in order to prove the results of the numerical simulations based on the finite elements.
Document typePeer reviewed
Document versionFinal PDF
SourceResearch and Modelling in Civil Engineering 2019. 2020, p. 71-84.