Random results for non-Gaussian responses

For examples of response quantities that do not follow Gaussian distributions, see Von Mises yield and Von Mises ultimate failure analyses (2D and 3D), Tsai-Wu failure analysis (2D), and Maximum stress failure analysis (2D).

To validate the non-Gaussian results, for example, you can evaluate the Tsai-Wu failure index for N samples. To do this, sort the samples in ascending order and return samples corresponding to the probability. You may then calculate the mean, variance, and RMS as follows:

μ=\frac{1}{N}\sum_{n=1}^{N}F_{n}\neq{0}σ^2=\frac{1}{N}\sum_{n=1}^{N}(F_{n}-μ)^2RMS=\sqrt{σ^2+μ^2}				where:N is the number of samples.Fn is the Tsai-Wu failure index for sample n.μ is the mean.σ2 is the variance.RMS is the root mean square.

Random results for non-Gaussian responses, Simcenter 3D 2021.1 Series

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