TY - JOUR
T1 - Shape memory alloys, Part II
T2 - Modeling of polycrystals
AU - Lagoudas, Dimitris C.
AU - Entchev, Pavlin B.
AU - Popov, Peter
AU - Patoor, Etienne
AU - Brinson, L. Catherine
AU - Gao, Xiujie
N1 - Funding Information:
The authors would like to acknowledge the support of the Air Force of Scientific Research (AFOSR), Army Research Office (ARO), the Texas Higher Education Coordinating Board, the National Air and Space Administration (NASA), and the Centre National de la Recherche Scientifique (CNRS). We would also like to express our gratitude to Bjoern Kiefer, Christophe Niclaeys, Denis Entemeyer, Parikshith Kumar, Yves Gillet, Luciano Machado, Mohammed El Amrani, Olivier Bertacchini, and Darren Hartl, who spent a significant amount of time and effort on the manuscript of this paper. E. Patoor would also like to thank Marcel Berveiller and André Eberhardt for the many fruitful discussions which led to this paper.
PY - 2006/5
Y1 - 2006/5
N2 - The second part of this two-part paper summarizes work on the micromechanical modeling of polycrystalline shape memory alloys (SMAs). Averaging micromechanics methods based on the self-consistent approximation are used for the modeling of polycrystalline SMA thermomechanical behavior. The predictions of several models are directly compared and correlated with experimental results. Rate independent phenomenological models are then discussed, which are based on characterizing the inelastic fields associated with the phase transformation and transformation induced plasticity by using internal state variables. The resulting evolution equations are integrated using return mapping algorithms. Selected numerical simulations and comparison of the phenomenological models with the micromechanical ones are also presented.
AB - The second part of this two-part paper summarizes work on the micromechanical modeling of polycrystalline shape memory alloys (SMAs). Averaging micromechanics methods based on the self-consistent approximation are used for the modeling of polycrystalline SMA thermomechanical behavior. The predictions of several models are directly compared and correlated with experimental results. Rate independent phenomenological models are then discussed, which are based on characterizing the inelastic fields associated with the phase transformation and transformation induced plasticity by using internal state variables. The resulting evolution equations are integrated using return mapping algorithms. Selected numerical simulations and comparison of the phenomenological models with the micromechanical ones are also presented.
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U2 - 10.1016/j.mechmat.2005.08.003
DO - 10.1016/j.mechmat.2005.08.003
M3 - Article
AN - SCOPUS:32444449564
SN - 0167-6636
VL - 38
SP - 430
EP - 462
JO - Mechanics of Materials
JF - Mechanics of Materials
IS - 5-6
ER -