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Elastostatic field distributions in polycrystals and cracked media

Abstract : This work addresses the problem of the reconstruction of the local fields distribution occurring in heterogeneous linear elastic solids. The constitutive heterogeneities are crystals and cracks. Through comparisons with FFT computations, it is shown that self-consistent estimates together with an assumption of normal distribution at the phase scale provide an accurate description of the elastostatic field histograms in polycrystals without cracks. In the case of inter and transgranular cracks, full-field FFT simulations indicate that the field histograms present van Hove singularities. Their natures are determined analytically in the low-density regime, in the case of an homogeneous medium containing cracks.
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Contributor : François Willot <>
Submitted on : Tuesday, November 17, 2020 - 6:31:01 PM
Last modification on : Wednesday, January 20, 2021 - 4:38:03 PM
Long-term archiving on: : Thursday, February 18, 2021 - 8:24:26 PM


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François Willot, Renald Brenner, Hervé Trumel. Elastostatic field distributions in polycrystals and cracked media. Philosophical Magazine, Taylor & Francis, 2020, 100 (6), pp.661-687. ⟨10.1080/14786435.2019.1699669⟩. ⟨hal-02425491⟩



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