# Project 4: The Analysis of Sandwich Plate using Abaqus Harvard Case Solution & Analysis

• Boundary Conditions

In order to calculate the displacement and deflection of the skewed plate different meshes of plate are simulated using different shell element model (SC8R and SC 13 R) and a concentrated force of 600 N is applied at the right top corner opposite to z=axis and it is observed that there is no deflection occur at the bottom edge of the plate. The size of mesh for both the models is selected as 100 mm including the (STR 13) shell element model and more improved and accurate (STR 8) shell model, the results of both approaches are attached in figure 4 below.

Figure 4: Boundary Conditions and mesh analysis

• Results

There are two different conventions used for the analysis of skewed sandwich plate the conventional shell model and the continuum shell model the result of both parts is sequentially displayed below.

• Conventional Model

Following are the parameters of conventional model.

Size of mesh = 100

Total number of nodes = 378

Total number of elements = 680

Type of element is (STR13)

Maximum deflection = 13.4

The below table shows the maximum principal stress with its corresponding ply number.

 Ply number Maximum principal stress 1 1.178 2 7.537 3 7.3 6 e-17 4 58.573 5 11.332

Figure 5: Max-Principal (Ply-1)

Figure 6: Max-Principal (Ply-2)

Figure 7: Max-Principal (Ply-3)

Figure 8: Max-Principal (Ply-4)

Figure 9: Max-Principal (Ply-5)

Figure 10: Max-Principal (Layer-1)

• Continuum Shell Model (Improved Model)

Following are the parameters of continuum shell model.

Size of mesh = 100

Total number of nodes = 756

Total number of elements = 340

Type of element is (SC8R)

Maximum deflection = 10.887

The below table shows the maximum principal stress with its corresponding ply number of the improved continuum shell model.

 Ply number Maximum principal stress 1 0.931 2 0.382 3 1.207e-3 4 0.430 5 0.791

Figure 11: Max-Principal (Ply-1)

Figure 12: Max-Principal (Ply-2)

Figure 13: Max-Principal (Ply-3)

Figure 14: Max-Principal (Ply-4)

Figure 15: Max-Principal (Ply-5)

Figure 16: U-Magnitude             Figure 17: Max-Principal

• Conclusion

The conclusion is based on the data extracted from two different approaches the conventional shell model and the continuum shell model the deflection of the skewed sandwich plate is observed using shell element STR 13 a concentrated force of 600 N is applied at upper right corner and the maximum displacement is observed is 13.4 mm while we got a deflection of 10.883 mm using the continuum shell model.

The tensile strength of the skewed sandwich plate is also observed. Using the conventional shell model we get a maximum principal stress of 10.284 MPa. Using the continuum shell model we get a maximum principal stress of 1.007 MPa. This particular observation shows us that the accurate model for observation of force is continuum shell model.......

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