The mesh consists of one eight nodes hexahedral element, computed locally and updated to the platform.
Case
Mesh Type
Number of Nodes
Element Type
ALL
1st Order Hexahedral
8
Standard
Table 1: Finite element model for each case
Figure 2: One hexahedral element mesh for the cube
Simulation Setup
Material:
Hyperelasticity material, with the following parameters for each type of law:
Mooney-Rivlin:
\(C_{10} = \) 4.103 \(Pa\)
\(C_{01} = \) -7.486 \(Pa\)
\(D_{1} = \) 1e-6 \(1/Pa\)
Neo Hooke:
\(C_{10} = \) 2.881 \(Pa\)
\(D_{1} = \) 1e-6 \(1/Pa\)
Signorini:
\(C_{10} = \) -1.432 \(Pa\)
\(C_{01} = \) 5.578 \( Pa\)
\(C_{20} = \) 3.781e-2 \(Pa\)
\(D_{1} = \) 1e-6 \(1/Pa\)
Boundary Conditions:
Constraints:
Face ABFE with zero x-displacement
Face AEHD with zero y-displacement
Face ABCD with zero z-displacement
Face DCGH with imposed 7 \(m\) x-displacement
Reference Solution
The reference solution is of the experimental type and was extracted from [Treloar]\(^1\). It corresponds with the nominal stress-strain material curve. The values were extracted using WebPlotDigitizer.
Result Comparison
Comparison of the nominal stress-strain curves computed from reaction force on the faces with zero displacement, versus the reference data is shown in Figure 3:
Figure 3: Nominal stress-strain curves comparison
Following is a plot of the final deformed shape from the Signorini case results:
Figure 4: Final deformed shape of the cube, with contour representing deformation magnitude for the Signorini case
References
L. R. G. Treloar, “Stress-strain data for vulcanised rubber under various types of deformation”, Trans. Faraday Soc., 40:59–70, 1944.
Note
If you still encounter problems validating you simulation, then please post the issue on our forum or contact us.
Last updated: July 9th, 2020
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