Micromechanical and statistical studies of twinning in hexagonal metals: application to magnesium and zirconium

Abstract : The objective of this thesis is to investigate and quantify the influence of parent-twin and twin-twin interactions on the mechanical response of h.c.p. metals. To study parent-twin interactions, a mean-field continuum mechanics approach has been developed based on a double inclusion topology. A first model generalizing the Tanaka-Mori scheme to heterogeneous elastic media is applied to first and second generation twinning in Mg. The model is capable of reproducing the trends in the development of backstresses within the primary twin and enables the identification of the most likely second-generation twin variants to grow in a primary twin domain. A second self-consistent model, consisting of an extension of the first one to the case of elasto-plasticity, is applied to AZ31 Mg polycrystals. The results show that deformation system activities and plastic strain distributions within twins drastically depend on the interaction with parent domains. The influence of twin-twin interactions on nucleation and growth of twins is being statistically studied from Zr and Mg electron back-scattered diffraction (EBSD) scans. A twin recognition software relying on graph theory analysis has been developed for data extraction. The results obtained from Zr EBSD maps reveal that twin-twin interactions hinder subsequent twin nucleation and that mechanisms involved in twin growth may differ for each twinning mode. A second study performed on AZ31 Mg presents statistics about low Schmid factor {10-12} tensile twins and about {10-12}-{10-12} double twins coupled with a simplified version of the Tanaka-Mori scheme generalized to heterogeneous elasticity with plastic incompatibilities.
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Pierre-Alexandre Juan. Micromechanical and statistical studies of twinning in hexagonal metals: application to magnesium and zirconium. Other. Université de Lorraine, 2015. English. ⟨NNT : 2015LORR0336⟩. ⟨tel-01752219⟩

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