A multivariant micromechanical model for SMAs Part 2. Polycrystal model |
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| Institution: | 1. Departamento de Ciencias de los Materiales, Universidad Simón Bolívar, Valle de Sartenejas, Caracas 1080, Venezuela;2. Institut für Werkstoffe, Ruhr-Universität Bochum, Universitätsstraße 150, Bochum 44801, Germany;3. Lehrstuhl für Werkstoffe und Nanoelektronik, Ruhr-Universität Bochum, Universitätsstraße 150, Bochum 44801, Germany;1. State Key Laboratory of Advanced Special Steels, Shanghai University, Shanghai, 200072, PR China;2. EPM-Madylam, ENSHMG, BP 38402, St Martin d’Heres Cedex, France;3. Key Laboratory for Anisotropy and Texture of Materials, Northeastern University, Shenyang, 110819, PR China;4. Laboratoire d''Étude des Microstructures et de Mécanique des Matériaux (LEM3), CNRS UMR 7239, Université de Lorraine, 57045, Metz, France;1. State Key Lab of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao, 066004, China;2. College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan, 030024, China |
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| Abstract: | An averaging scheme is developed to simulate the behavior of a polycrystalline shape memory alloy (SMA) specimen using the Multivariant Micromechanics approach. An untextured polycrystalline specimen is assumed to be formed by a number of randomly oriented single crystal grains. The previously developed Multivariant technique is used to model the response of each single crystal grain subjected to its stress field seen in the polycrystalline sample. Using spherical grains, the Eshelby–Kröner approach is used to formulate the interaction between grains and to determine the stress state in each individual grain. This model successfully captures the basic features of SMA polycrystalline response to loading and temperature. In addition, comparison is made to recent experimental data with fully triaxial load states. Reasonable qualitative agreement is obtained and some issues related to crystallography of the material model are addressed. |
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