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Predict failure index and strength ratio of a honeycomb sandwich plate

Problem Description

The failure index and strength ratio of a honeycomb sandwich plate under the biaxial loading condition are predicted using the MSG plate model. For a plate structural analysis, the loads are usually expressed in terms of plate stress resultants {N11, N22, N12, M11, M22, M12}. In this example, N11=N22=10 N is assumed.

Software Used

Gmsh4SC 2.0

Solution Procedure

Below describes the step-by-step procedure you followed to solve the problem.

1. step 1

  • Open Gmsh4SC and create a new model (Change the default name). Click Material->Thermoelastic and input the matrix and fiber properties as shown in Fig. 1 and Fig. 2.
    Fig. 1
    Fig. 2

* Click Geometry->Common SG-> 3D SG->Honeycomb. Select the materials for core and skim as shown in Fig. 3.
Fig. 3

* Click Mesh->Generate 3D mesh->Generate (Fig. 4.).
Fig. 4

* Click SwiftComp->Homogenization->Plate model. Keep the default parameters and click save and run. The homogenization results will automatically pop up (Fig. 5.). Gmsh2_5.JPG
Fig. 5

2. step 2

* Click SwiftComp->Static failure->Input failure constants. Assign failure criterion (max-stress) to the core first (Fig. 6.) and input the failure constants (Fig. 7.). Repeat this step to define the fiber failure constants as shown in Fig. 8 and 9. Note that the lam is non-isotropic material and we will use Tsai-Wu failure criterion in this example.
Fig. 6
Fig. 7
Fig. 8
Fig. 9

* Click Failure index and strength ratio and select stress-based failure criterion. Click add. Select plate model and input and loads as shown in Fig. 10. Gmsh2_10.JPG
Fig. 10

* Click Run. The contour plots of the failure index and strength ratio under this loading condition is given as shown in Fig. 11 and 12.
Fig. 11
Fig. 12

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