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How prevent an object from penetrating another object?

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The attached file has a simple case that is a precursor to what I really need to model. The simple case consists of a membrane (hyperelastic material model) with a small quartz bead located a short distance underneath the membrane. A force is applied to the top of the membrane such that it deflects downward toward the bead. The bead is constrained to remain fixed in space. As the membrane deflects to where it hits the bead, I want to see how the membrane deforms around the bead. However, as shown when you click on "3D Plot Group 4", the membrane does not know the bead is there and becomes superimposed on it within the same volume. How do I prevent this from happening such that I can study how the membrane deforms around the bead? Any assistance would be greatly appreciated!

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