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The application of harmonic expansions to estimate intra-grain stressdistributions from grain-averaged stress data is presented that extends thecapabilities of the open source code, MechMonics. The method is based on usingan optimization algorithm to determine the harmonic expansion weights thatreduce the violation of equilibrium while maintaining prescribedgrain-averages. The method is demonstrated using synthetic data generated foruniaxial extension of a virtual polycrystal with the mechMet code.

Using Discrete Harmonic Expansions and Equilibrium Conditions to Estimate Intragrain Stress Distributions in Polycrystals from Grain-Averaged Data