PSI - Issue 52

Haolin Li et al. / Procedia Structural Integrity 52 (2024) 752–761 HaolinLi / Structural Integrity Procedia 00 (2023) 000–000

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Table 1. Homogenised Properties of the Perforated plate.

D 33 kN · m 43 . 855

2

A 11

A 12

A 33 [Mpa · m]

D 11

D 12

FFT-Plate (CPT) FEM-Plate (CPT)

33 . 319 33 . 319

12 . 172 12 . 172

9 . 864 9 . 864

125 . 725 125 . 724

38 . 565 38 . 565

43 . 855

Fig. 2. Distributions of the maximum principal strain for six PBCs. (a)-(f) represent PBCs.1-6.

4.2. A Twill Woven Composite

The plate modelling of a woven composite is a little bit di ff erent from the perforated plate. The modelling process for composites is more tricky since their complex inner structures. A brief overview of the modelling scheme is demonstrated in Fig.3, employing the twill woven composites as the example. The structure utilised in this case is a twill woven composite. The dimension of the unit cell is 2 . 0 mm × 2 . 0 mm × 0 . 3 mm . The fabric yarn has a width of 0 . 8 mm and a thickness of 0 . 15 mm . The homogenisation is the same as the analysis of the perforated plate. The obtained homogenisation results are presented in Table.2. It is observed that the FFT-based results shows perfect agreement to the FEM results as the reference.

Table 2. Homogenised properties of the twill woven composite.

D 33 kN · m 9.598

2

A 11

A 12

A 33 [Mpa · m]

D 11

D 12

FFT-Plate (CPT) FEM-Plate (CPT) FFT-Plate (FoPT) FEM-Plate (FoPT)

10.599 10.599 10.401 10.401

3.043 3.043 3.188 3.188

1.437 1.437 1.418 1.418

34.782 34.782 34.661 34.661

1.116 1.116 1.161

9.598 9.363

To be noted, the twill woven composite structure employed herein presents a membrane-bending coupled property, i.e. B is non-zero in this case. An illustration of this coupling e ff ect in presented in Fig.5 which shows the deforma tion of the structure applied with the first three PBCs. The colour map denotes the distribution of the out-of-plane