Imposing equilibrium on measured 3-D stress fields using Hodge decomposition and FFT-based optimization
Résumé
Analytical formulation to impose stress equilibrium is obtained through a variational optimization method. • A FFT-based numerical solver is developed and further modified for interface discontinuities. • The algorithm is first applied to synthetic stress fields, which provide a known ground truth. • The algorithm is applied to a 3-D X-ray diffraction experiment of a beta-Ti alloy, resulting in large corrections near grain boundaries.
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