PSI - Issue 17

Michał Kwietniewski et al. / Procedia Structural Integrity 17 (2019) 58–63 Michał Kwietniewski / Structural Integrity Procedia 00 (2019) 000 – 000

62

5

Density [ 3 ] [10 −6 ] Young ’s modulus [ ] Poisson ’s ratio 1,44 51,26 0.36

Table 1. Material constants applied for analysis.

Aramid wrap

Elastomeric core

1 1 1 1 1

0,25

0.36 0.36 0.36 0.36 0.36

Variant 1 Variant 2 Variant 3 Variant 4

0.1

1 2 5

Matrix

4 Results The tension process of the model in the analysis with the conditions described above causes bending of whole structure. Similar phenomenon was observed during stretching the HAY without the matrix. Giving a different value to the Young's modulus (as show for 4 Variants in Tab.2) causes a different value of this bend. Comparisons of results were carried out by calculating Poisson ’s ratio. However, as shown in Fig. 4, it was a Poisson's ratio, based on the maximum distances of the model nodes in the Z-axis from the centre axis of the model. The formula for Poisson ’s ratio adopted for calculations was as follows: = A summary of the dependence of the calculated Poisson ratio on the value of the Young's modulus given to the matrix material was presented in Tab. 2.

Table 2 Poisson's ratio obtained in numerical analyses. Matrix Young's modulus

Poisson ’s ratio

0.1

-0,84 -0,26 -0,18 0,20

1 2 5

Fig. 4. Effect of tension of models with different values of the Young's modulus of matrix material (a) 0.1 GPa; (b) 1 GPa; (c) 2 GPa; (d) 5 GPa.