The viscoplastic behavior of polycrystalline wadsleyite aggregates, a major high pressure phase of the mantle transition zone of the Earth (depth range: 410–520 km), is obtained by properly bridging several scale transition models. At the very fine nanometric scale corresponding to the dislocation core structure, the behavior of thermally activated plastic slip is modeled for strain-rates relevant for laboratory experimental conditions, at high pressure and for a wide range of temperatures, based on the Peierls–Nabarro–Galerkin model. Corresponding single slip reference resolved shear stresses and associated constitutive equations are deduced from Orowan’s equation in order to describe the average viscoplastic behavior at the grain scale, for the easiest slip systems. These data have been implemented in two grain-polycrystal scale transition models, a mean-field one (the recent Fully-Optimized Second-Order Viscoplastic Self-Consistent scheme of [1]) allowing rapid evaluation of the effective viscosity of polycrystalline aggregates, and a full-field (FFT based [2, 3]) method allowing investigating stress and strain-rate localization in typical microstructures and heterogeneous activation of slip systems within grains. Calculations have been performed at pressure and temperatures relevant for in-situ conditions. Results are in very good agreement with available mechanical tests conducted at strain-rates typical for laboratory experiments.
Revised:
Accepted:
Published online:
O. Castelnau 1; K. Derrien 1; S. Ritterbex 2, 3; P. Carrez 3; P. Cordier 4, 3; H. Moulinec 5
@article{CRMECA_2020__348_10-11_827_0, author = {O. Castelnau and K. Derrien and S. Ritterbex and P. Carrez and P. Cordier and H. Moulinec}, title = {Multiscale modeling of the effective viscoplastic behavior of $\protect \mathrm{Mg}_2\protect \mathrm{SiO}_4$ wadsleyite: bridging atomic and polycrystal scales}, journal = {Comptes Rendus. M\'ecanique}, pages = {827--846}, publisher = {Acad\'emie des sciences, Paris}, volume = {348}, number = {10-11}, year = {2020}, doi = {10.5802/crmeca.61}, language = {en}, }
TY - JOUR AU - O. Castelnau AU - K. Derrien AU - S. Ritterbex AU - P. Carrez AU - P. Cordier AU - H. Moulinec TI - Multiscale modeling of the effective viscoplastic behavior of $\protect \mathrm{Mg}_2\protect \mathrm{SiO}_4$ wadsleyite: bridging atomic and polycrystal scales JO - Comptes Rendus. Mécanique PY - 2020 SP - 827 EP - 846 VL - 348 IS - 10-11 PB - Académie des sciences, Paris DO - 10.5802/crmeca.61 LA - en ID - CRMECA_2020__348_10-11_827_0 ER -
%0 Journal Article %A O. Castelnau %A K. Derrien %A S. Ritterbex %A P. Carrez %A P. Cordier %A H. Moulinec %T Multiscale modeling of the effective viscoplastic behavior of $\protect \mathrm{Mg}_2\protect \mathrm{SiO}_4$ wadsleyite: bridging atomic and polycrystal scales %J Comptes Rendus. Mécanique %D 2020 %P 827-846 %V 348 %N 10-11 %I Académie des sciences, Paris %R 10.5802/crmeca.61 %G en %F CRMECA_2020__348_10-11_827_0
O. Castelnau; K. Derrien; S. Ritterbex; P. Carrez; P. Cordier; H. Moulinec. Multiscale modeling of the effective viscoplastic behavior of $\protect \mathrm{Mg}_2\protect \mathrm{SiO}_4$ wadsleyite: bridging atomic and polycrystal scales. Comptes Rendus. Mécanique, Contributions in mechanics of materials, Volume 348 (2020) no. 10-11, pp. 827-846. doi : 10.5802/crmeca.61. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.61/
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