Abstract
A simple method for calculating the properties of composite laminates and their variations is presented and used to determine the mean and standard deviation of the last ply failure (LPF) load of a generic set of laminates loaded in uniaxial tension. The results indicate a complex array of regions of different paths to failure. It is shown that the variability of the LPF load can cause up to four different paths to failure to overlap. It is also shown that local minima of the standard deviation of the LPF load exist, some of which may appear/vanish depending on the relative magnitude of the variation of the ply material properties and/or geometric parameters (e.g., ply moduli and fiber angles). These results are useful for understanding scatter in measured LPF loads and variations of the path to failure for a particular laminate. Favorable comparisons with both experiments and a more computationally expensive Monte Carlo approach that operates on the full nonlinear problem are demonstrated. (Author)
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