A circular solid is compressed to a rigid surface. Due to symmetry only half of the circle needs to be analyzed. The compression is imposed, by prescribing the displacement of the middle line of the circle, so that in fact only one quarter of the circle needs to be analyzed. Plane strain conditions are assumed. The circle radius is , the prescribed displacement of the middle line is , the Young's modulus is and the Poisson ratio is . The mesh contains 64 quadratic -quad9 elements.
The first plot shows the deformed mesh. Notice that the nodes at the bottom of the circle did not penetrate the line .
The second plot shows the Mises stresses (the size of the deviatoric stress matrix) in ..