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Unconventional phase field simulations of transforming materials with evolving microstructures

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Abstract

Transforming materials with evolving microstructures is one of the most important classes of smart materials that have many potential technological applications, and an unconventional phase field approach based on the characteristic functions of transforming variants has been developed to simulate the formation and evolution of their microstructures. This approach is advantageous in its explicit material symmetry and energy well structure, minimal number of material coefficients, and easiness in coupling multiple physical processes and order parameters, and has been applied successfully to study the microstructures and macroscopic properties of shape memory alloys, ferroelectrics, ferromagnetic shape memory alloys, and multiferroic magnetoelectric crystals and films with increased complexity. In this topical review, the formulation of this unconventional phase field approach will be introduced in details, and its applications to various transforming materials will be discussed. Some examples of specific microstructures will also be presented.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Washington, Seattle, WA, 98195-2600, USA

    Jiang-Yu Li, Chi-Hou Lei & Liang-Jun Li

  2. Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan, China

    Yi-Chung Shu

  3. Faculty of Materials, Optoelectronics and Physics, Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of Education Xiangtan University, 411105, Hunan, China

    Yun-Ya Liu

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  1. Jiang-Yu Li
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  2. Chi-Hou Lei
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Correspondence to Jiang-Yu Li.

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The project was supported by the NSF (DMR-1006194 and CMMI-1100339), NSFC (10972189 and 11102175), and NSC(100-2628-E-002-034-MY3).

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Li, JY., Lei, CH., Li, LJ. et al. Unconventional phase field simulations of transforming materials with evolving microstructures. Acta Mech Sin 28, 915–927 (2012). https://doi.org/10.1007/s10409-012-0129-0

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