The behavior of granular materials has often been studied using photo elastic models of circular particles as shown in the following figure. This provides the full-field distribution of local contact load transfer through the model assembly. Particles in such models are commonly loaded through multiple contacts with neighboring grains, and the particular example particle shown has four contact loads. Assuming the loadings are in-line and along two perpendicular diameters, use superposition of the solution given in Example 8.10 to determine the stress field within the model particle. Make a comparison plot of the distribution of normal stress along a loaded diameter with the corresponding results from Example 8.10.

Data from example 8.10

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P- ---- P -P