A Mori–Tanaka homogenization scheme based on the “translated fields” approach is extended to elasto-viscoplastic composites with non-linear viscoplasticity described by a first-order “affine”-type linearization. This extension leads to a new theoretical interaction law between mechanical average phase fields and overall ones. This interaction law contains the coupling between elastic- and viscoplastic- mechanical interactions and phase stress histories. In order to study and discuss the validity of the present approach, the results are reported for two-phase composites and are compared to other approaches.
Accepté le :
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Stéphane Berbenni 1 ; Laurent Capolungo 2
@article{CRMECA_2015__343_2_95_0, author = {St\'ephane Berbenni and Laurent Capolungo}, title = {A {Mori{\textendash}Tanaka} homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: {An} affine extension}, journal = {Comptes Rendus. M\'ecanique}, pages = {95--106}, publisher = {Elsevier}, volume = {343}, number = {2}, year = {2015}, doi = {10.1016/j.crme.2014.12.003}, language = {en}, }
TY - JOUR AU - Stéphane Berbenni AU - Laurent Capolungo TI - A Mori–Tanaka homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: An affine extension JO - Comptes Rendus. Mécanique PY - 2015 SP - 95 EP - 106 VL - 343 IS - 2 PB - Elsevier DO - 10.1016/j.crme.2014.12.003 LA - en ID - CRMECA_2015__343_2_95_0 ER -
%0 Journal Article %A Stéphane Berbenni %A Laurent Capolungo %T A Mori–Tanaka homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: An affine extension %J Comptes Rendus. Mécanique %D 2015 %P 95-106 %V 343 %N 2 %I Elsevier %R 10.1016/j.crme.2014.12.003 %G en %F CRMECA_2015__343_2_95_0
Stéphane Berbenni; Laurent Capolungo. A Mori–Tanaka homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: An affine extension. Comptes Rendus. Mécanique, Mechanics of granular and polycrystalline solids, Volume 343 (2015) no. 2, pp. 95-106. doi : 10.1016/j.crme.2014.12.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.12.003/
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