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Micromorphic approach to single crystal plasticity and damage

Abstract : Eringen's micromorphic approach for materials with microstructure is applied to the plasticity and damage of single crystals. A plastic microdeformation variable and its rotational part are introduced in a standard crystal plasticity model in order to predict size effects in the overall stress response of crystalline solids. In the case of an ideal laminate microstructure including a purely elastic layer and a plastic layer undergoing single slip, the model, called microcurl, is shown to produce a kinematic hardening component that depends on the size of the layers. In a second part of the paper, a microdamage variable is introduced that accounts for cleavage or plasticity induced pseudo-cleavage phenomena in single crystals. The formulation accounts for straight crack paths but also allows for crack branching and bifurcation.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00652967
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Submitted on : Friday, December 16, 2011 - 4:33:55 PM
Last modification on : Tuesday, March 16, 2021 - 3:44:41 PM

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Ozgur Aslan, Nicolas Cordero, Anais Gaubert, Samuel Forest. Micromorphic approach to single crystal plasticity and damage. International Journal of Engineering Science, Elsevier, 2011, 49, pp.1311-1325. ⟨10.1016/j.ijengsci.2011.03.008⟩. ⟨hal-00652967⟩

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