Issue 68

E.V. Feklistova et alii, Frattura ed Integrità Strutturale, 68 (2024) 325-339; DOI: 10.3221/IGF-ESIS.68.22

a b Figure 11: The calculated loading diagram (a) and the damages development kinetics (b) for the solid with α =0.8 for the body with the stress concentrator depth of 4 mm Mesh sensitivity analysis Since the size of the FE may significantly influence the damaging process modeling results, the mesh sensitivity analysis is performed on the problem of the kinematic loading of the plate with the stress concentrator ( h =8 mm) without the FE strength properties distribution ( α =0.0). The automatically generated meshes with the characteristic linear size L el (defined as the square root of the ratio of the body area to the number of FE) of 0.167, 0.143, 0.121, 0.097 and 0.073 mm (corresponding to the number of elements N =70994, 97252, 136573, 209723 and 383781) are used. Fig. 12 represents the calculated loading diagrams and corresponding graphs of increase in the relative number of destroyed elements. The absence of the results’ convergence is noted. The FE size decrease leads to the maximum load and maximum ω values reduction, although the damages development kinetics and mechanism of macro-defect propagation are changed slightly. By comparing experimental data on the deformation of elastic-brittle bodies with the results of damaging process numerical modeling obtained using various meshes, the rational size of the FE can be defined, reflecting the typical size of the single act of destruction [37]. Based on the above, the mesh sensitivity has to be taken into account while modeling the damaging process of elastic-brittle solids with statistically distributed strength properties over the body volume.

a b Figure 12: The calculated loading diagrams (a) and the corresponding increase in the relative number of destroyed elements (b) for the various values of characteristic linear size L el

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