Visualizing the Solution

Visualize the solution and calculate the stress concentration factor from the computed stress.

  1. Visualize the computed hoop stress, von Mises stress, and displacement using the scalar scenes that you created for this simulation.
    The scenes appear as shown below:





To visualize the applied force and the reaction force:
  1. Right-click the Reports > Sum Force 1 node and select Run Report.
    The report is printed to the Output window. The resultant force is zero.
Run the report for the maximum value of σxx:
  1. Right-click the Reports > Stress Tensor (ii) node and select Run Report.
    A value of σxx3900MPa is printed to the Output window.

Comparison with Analytical Solution from Roark's formulas

In Roark's formulas [992], the maximum stress σxx is related to the nominal stress σnom through the stress concentration factor k:

Figure 1. EQUATION_DISPLAY
σxx,max=kσnomσnom=σiHhk=3.003.14(rH)+3.667(rH)21.527(rH)3
(5265)

where H is the height of the plate quarter, r is the hole radius, h=Hr, and σi is the input stress, that is, the applied traction load.

The analytical solution therefore gives σxx,max=3.86×103MPa and k=2.21.

The maximum σxx computed in Simcenter STAR-CCM+ is σxx,report3.90×103MPa, which gives a stress concentration factor of k=(σxx,report)/σnom2.23.

Note that the stress gradient within the elements at the top of the hole is very high, about 20 %. A better accuracy can be achieved with a finer mesh.