PSI - Issue 37

Yulia Pirogova et al. / Procedia Structural Integrity 37 (2022) 1049–1056 Yulia Pirogova / Structural Integrity Procedia 00 (2021) 000 – 000

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Fig. 5 Example of FE model and the loading of the model.

6. Results and discussion The first case study included analysis of how the shape of inclusions would affect the effective Young’s modulus of samples as well as their morphological properties via changes in values of correlation functions. Results of morphological analysis of samples with different shapes using correlations functions of second and fourth order are presented in Fig. 6a and Fig. 6b. Experimentally obtained loading curves for compressions tests of the samples are presented in Fig. 6c. Values of the Young’s modulus obtained in experiments and with numerical simulations are shown in Table 1.

Table 1. The values of the effective Young's modulus obtained during the FE analysis and during a series of tests.

Modulus derived from FE analysis, A p E , MPa

Modulus obtained during series of compression tests, еxp p E , MPa

RVE sample description

Tetrahedron, p =0.15 Octahedron, p =0.15 Cube, p =0.15 Icosahedron, p =0.15

1544.82

1581,08

1613.48

1660,45

1597.87

1502,45

1690.89

1638,31