PSI - Issue 28

Wenxuan Xia et al. / Procedia Structural Integrity 28 (2020) 820–828 Author name / Structural Integrity Procedia 00 (2019) 000–000

826

7

Table 4. Effective material properties of the quadruple packed fiber-reinforced composite volume. � ( Pa ) � ( Pa ) �� ( Pa ) �� Quadruple packed volume 2.3580582x10 9 2.3580582x10 9 8.7405017x10 8 0.33824407 Single cell 2.3577740x10 9 2.3577740x10 9 8.7409126x10 8 0.33802918

3.3. Cell with microscopic void A defected matrix cell with a circular shaped void positioned in the center is considered as shown in Fig. 3(a).

Fig. 3. (a) matrix cell with single void; (b) matrix cell with quadruple voids.

Properties of such cell are given in Table 5.

Table 5. Material properties of the matrix cell with center positioned void. Material name Elastic modulus E ( Pa ) Poison Ratio v

Volume fraction

Matrix

2x10 9

0.3

0.9685841 0.0314159

Void

-

-

The 2-dimensional effective stiffness tensor is then obtained as

9 2.1279947 10 6.3912176 10 1.3652028 10 6.3912176 10 2.1279947 10 2.9960819 10 Pa 1.3652028 10 2.9960819 10 7.4401262 10                             C 8 7 * 8 9 6 7 6 8

(17)

The effective material properties are given in Table 6.

Table 6. Effective material properties of the matrix cell with center positioned void. � ( Pa ) � ( Pa ) �� ( Pa ) �� Single void 1.9360409x10 9 1.9360409x10 9 7.4401262x10 8 0.30033991