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Simulated Jagged Force-Displacement Curves

The compressive force-displacement curves of intact brittle cellular particulates, such as puffed cereals and snacks, are characteristically irregular and irreproducible. To create their "typical" curve, one can test several particulates, fit the resulting recorded experimental force-displacement data with a polynomial model, and generate random fluctuations around it. If
p
particles are tested, one can average the polynomial model's coefficients to create a smoothed curve and superimpose on it the averaged fluctuations' amplitudes multiplied by
p
. The result is a "typical" force-displacement curve that is practically indistinguishable from a real experimental one. The principle and method are demonstrated with simulated curves having different degrees of jaggedness.
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