PSI - Issue 13

Alexey Smolin et al. / Procedia Structural Integrity 13 (2018) 680–685 Author name / Structural Integrity Procedia 00 (2018) 000 – 000

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to fit the Poisson’s ratio for the specimens with unidirectional inclusions for the same range of their volume fraction, we will see that this parameter increases with increasing inclusion volume fraction (short dark cyan lines in Fig. 3.)

a b Fig. 3. (a) Poisson’s ratio along axis X (a) and axis Y (b) versus volume fraction of soft inclusions for two types of the composite structure: unidirectional cylindrical inclusions and randomly oriented cylindrical inclusions. It is interesting to comp are the obtained results for Poisson’s ratio for ceramics composite containing elongated soft inclusions with the corresponding results for porous ceramics of the same structure but containing elongated pores. R esulting Poisson’s ratios along two lateral d irections versus porosity for two types of pore structure is shown in Fig. 4 . For unidirectional pores, it is obvious that the values of Poisson’s ratio ν x along axis X (Fig. 4, a) is smaller than Poisson’s ratio ν y along axis Y because the cross-section perpendicular to axis Y contains elongated pores while the conjugated section contains circular pores. The curves in Fig. 4, a also shows that ν x decreases with an increase of porosity faster than ν y for the specimens with unidirectional pores (see lines marked by “α y =45°” in Fig. 4). For the specimens with randomly oriented pores, the values of Poisson’s ratio along both axes are approximately the same taking into account a large scatter of the values.

a b Fig. 4. (a) Poisson’s ratio along axis X (a) and axis Y (b) versus porosity for two types of pore structure: unidirectional cylindrical pores and randomly oriented pores.