中国物理B ›› 2017, Vol. 26 ›› Issue (9): 90702-090702.doi: 10.1088/1674-1056/26/9/090702

• GENERAL • 上一篇    下一篇

Elastic strain response in the modified phase-field-crystal model

Wenquan Zhou(周文权), Jincheng Wang(王锦程), Zhijun Wang(王志军), Yunhao Huang(黄赟浩), Can Guo(郭灿), Junjie Li(李俊杰), Yaolin Guo(郭耀麟)   

  1. 1 State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Ningbo Institute of Industrial Technology, Ningbo 315201, China
  • 收稿日期:2017-02-21 修回日期:2017-05-06 出版日期:2017-09-05 发布日期:2017-09-05
  • 通讯作者: Jincheng Wang E-mail:jchwang@nwpu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science foundation of China (Grant Nos. 51571165 and 51371151), Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund (the second phase), China, and the Fundamental Research Funds for the Central Universities, China (Grant No. 3102015BJ(II)ZS001).

Elastic strain response in the modified phase-field-crystal model

Wenquan Zhou(周文权)1, Jincheng Wang(王锦程)1, Zhijun Wang(王志军)1, Yunhao Huang(黄赟浩)1, Can Guo(郭灿)1, Junjie Li(李俊杰)1, Yaolin Guo(郭耀麟)2   

  1. 1 State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Ningbo Institute of Industrial Technology, Ningbo 315201, China
  • Received:2017-02-21 Revised:2017-05-06 Online:2017-09-05 Published:2017-09-05
  • Contact: Jincheng Wang E-mail:jchwang@nwpu.edu.cn
  • Supported by:

    Project supported by the National Natural Science foundation of China (Grant Nos. 51571165 and 51371151), Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund (the second phase), China, and the Fundamental Research Funds for the Central Universities, China (Grant No. 3102015BJ(II)ZS001).

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摘要：

To understand and develop new nanostructure materials with specific mechanical properties, a good knowledge of the elastic strain response is mandatory. Here we investigate the linear elasticity response in the modified phase-field-crystal (MPFC) model. The results show that two different propagation modes control the elastic interaction length and time, which determine whether the density waves can propagate or not. By quantitatively calculating the strain field, we find that the strain distribution is indeed extremely uniform in case of elasticity. Further, we present a detailed theoretical analysis for the orientation dependence and temperature dependence of shear modulus. The simulation results show that the shear modulus reveals strong anisotropy and the one-mode analysis provides a good guideline for determining elastic shear constants until the system temperature falls below a certain value.

关键词: elastic response, strain distribution, shear modulus, modified phase-field-crystal model

Abstract:

To understand and develop new nanostructure materials with specific mechanical properties, a good knowledge of the elastic strain response is mandatory. Here we investigate the linear elasticity response in the modified phase-field-crystal (MPFC) model. The results show that two different propagation modes control the elastic interaction length and time, which determine whether the density waves can propagate or not. By quantitatively calculating the strain field, we find that the strain distribution is indeed extremely uniform in case of elasticity. Further, we present a detailed theoretical analysis for the orientation dependence and temperature dependence of shear modulus. The simulation results show that the shear modulus reveals strong anisotropy and the one-mode analysis provides a good guideline for determining elastic shear constants until the system temperature falls below a certain value.

Key words: elastic response, strain distribution, shear modulus, modified phase-field-crystal model

中图分类号:  (Computer modeling and simulation)

  • 07.05.Tp
81.40.Jj (Elasticity and anelasticity, stress-strain relations) 62.20.de (Elastic moduli) 02.70.-c (Computational techniques; simulations)