Article Dans Une Revue Mechanics of Materials Année : 2022

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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hal-03442553 , version 1 (23-11-2021)

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Hao Zhou, Ricardo A Lebensohn, Péter Reischig, Wolfgang Ludwig, Kaushik Bhattacharya. Imposing equilibrium on measured 3-D stress fields using Hodge decomposition and FFT-based optimization. Mechanics of Materials, 2022, 164, pp.104109. ⟨10.1016/j.mechmat.2021.104109⟩. ⟨hal-03442553⟩
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