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Inspection of free energy functions in gradient crystal plasticity

Abstract : The dislocation density tensor computed as the curl of plastic distortion is regarded as a new constitutive variable in crystal plasticity. The dependence of the free energy function on the dislocation density tensor is explored starting from a quadratic ansatz. Rank one and logarithmic dependencies are then envisaged based on considerations from the statistical theory of dislocations. The relevance of the presented free energy potentials is evaluated from the corresponding analytical solutions of the periodic two-phase laminate problem under shear where one layer is a single crystal material undergoing single slip and the second one remains purely elastic.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00942896
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Soumis le : jeudi 6 février 2014 - 16:36:45
Dernière modification le : jeudi 24 septembre 2020 - 18:30:06

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Samuel Forest, Nicolas Guéninchault. Inspection of free energy functions in gradient crystal plasticity. Acta Mechanica Sinica, Springer Verlag, 2013, 29, pp.763-772. ⟨10.1007/s10409-013-0088-0⟩. ⟨hal-00942896⟩

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