PSI - Issue 63

Kamila Kotrasova et al. / Procedia Structural Integrity 63 (2024) 27–34

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Modules of elastic : E a = 30 ꞏ 10 Shear modules: G ab = 1 ꞏ 10

4 MPa, E

b =1 ꞏ 10

4 MPa, E 4 MPa, G

c =1 ꞏ 10

4 MPa,

4 MPa, G

ac = 0.5 ꞏ 10

bc = 0.5 ꞏ 10

4 MPa,

Poisson’s ratios : ν ab = 0.01, ν ac = 0.01, ν bc = 0.3. The material axes of reinforcements orientation are different in the individual layers. The reinforcements orientations are oriented with various combination 0, 45 and 90 degrees from the axe x in layers 1, 2 and 3.

b

y

L

α

a

x

L

Fig. 2. The square laminate plate, scheme, loading, supporting.

The maximum deflection - the vertical displacement in the direction of axis z of the square laminate plate 20 cm x 20 cm is in its middle. The deflections of the square plate at the plate edges are zero at the base of the supporting. The vertical displacement at the middle of the square laminate plate with the ply orientation 0/90/0 is shown in Fig. 3.

Fig. 3. The vertical displacement of the square laminate plate with the ply orientation 0/90/0.

Fig. 4 shows the diagram of the vertical displacement of the square laminate plate with the ply orientation 0/90/0 at the centre lines in the directions of axis x and y , respectively. Blue line shows the vertical displacement diagram of the square laminate plate with the ply orientation 0/90/0 at the centre lines in the direction x and red line in the direction y . It is obvious from Fig. 4 that the diagram of the vertical displacement from the middle of plate to the edge of plate is different in the x direction and in the y direction. This is due to the fact, that the reinforcements orientation of the layers is different in the direction of the x -axis and in the direction of the y -axis. Since three layers are bonded, the reinforcements orientation of the layers is not symmetrical and it is different, in the direction of the x -axis and in the direction of the y -axis.