The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials

Wu Mengmeng; Jia Ruiyu

doi:doi:10.11648/j.sd.20170506.11

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The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials

Wu Mengmeng, Jia Ruiyu

Published in Science Discovery (Volume 5, Issue 6)

Received: 25 October 2017 Published: 27 October 2017

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Abstract

As the composite materials and structures are widely used in aerospace, it is necessary to develop more precise and higher efficient methods to predict the mechanical properties and behaviors of the composites for application. The multiscale eigenelement method (MEM) can be implemented to analysize the periodic composite materials. This paper has reserched the MEM accuracy and mechanical behavior, and deduced the dynamics analytical solution of periodic composite materials. Compared the influence to the accuracy of different model numbers. As for the problems of multiscale eigenelement method, we put forward unit cell modal method. The results of the numerical calculation indicate the effectiveness and feasibility of the unit cell modal method.

Published in	Science Discovery (Volume 5, Issue 6)
DOI	10.11648/j.sd.20170506.11
Page(s)	404-409
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Composite Materials, Multi-Scale Method, Eigen-Element Method, Unit-Cell

References

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[6]	Strouboulis T., Babuska I., Copps K. The generalized finite element method: an example of its implementation and illustration of its performance. International Journal for Numerical Methods in Engineering 2000,47:1401-1417.
[7]	Xia Z. H., Zhou C. W., Yong Q. L., et al. On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites [J]. International Journal of Solid and Structures, 2006, 43: 266-278.
[8]	Voigt W. Uberdie Beziehung zwischen den beiden Elastizitatskonst-anten isotroper Korper [J]. Wied Ann, 1889, 38: 573-587.
[9]	谢文剑，诸德超，邢誉峰.基于特征向量展开的编织复合材料的均匀化方法[C]，第八届全国振动理论及应用学术会议论文集，上海，2003年11月。
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[12]	邢誉峰,高亚贺.渐进多尺度展开方法的精度和物理意义[J].计算力学学报,2016,33(4):504-508。
[13]	Liu H, Sun X, A hierarchical multilevel finite element method for mechanical analyses of periodical composite structures [J]. Composite Structures, 2015, 131, 115-127.

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Wu Mengmeng, Jia Ruiyu. (2017). The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Science Discovery, 5(6), 404-409. https://doi.org/10.11648/j.sd.20170506.11

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ACS Style

Wu Mengmeng; Jia Ruiyu. The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Sci. Discov. 2017, 5(6), 404-409. doi: 10.11648/j.sd.20170506.11

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AMA Style

Wu Mengmeng, Jia Ruiyu. The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Sci Discov. 2017;5(6):404-409. doi: 10.11648/j.sd.20170506.11

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@article{10.11648/j.sd.20170506.11,
  author = {Wu Mengmeng and Jia Ruiyu},
  title = {The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials},
  journal = {Science Discovery},
  volume = {5},
  number = {6},
  pages = {404-409},
  doi = {10.11648/j.sd.20170506.11},
  url = {https://doi.org/10.11648/j.sd.20170506.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20170506.11},
  abstract = {As the composite materials and structures are widely used in aerospace, it is necessary to develop more precise and higher efficient methods to predict the mechanical properties and behaviors of the composites for application. The multiscale eigenelement method (MEM) can be implemented to analysize the periodic composite materials. This paper has reserched the MEM accuracy and mechanical behavior, and deduced the dynamics analytical solution of periodic composite materials. Compared the influence to the accuracy of different model numbers. As for the problems of multiscale eigenelement method, we put forward unit cell modal method. The results of the numerical calculation indicate the effectiveness and feasibility of the unit cell modal method.},
 year = {2017}
}

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TY  - JOUR
T1  - The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials
AU  - Wu Mengmeng
AU  - Jia Ruiyu
Y1  - 2017/10/27
PY  - 2017
N1  - https://doi.org/10.11648/j.sd.20170506.11
DO  - 10.11648/j.sd.20170506.11
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 404
EP  - 409
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20170506.11
AB  - As the composite materials and structures are widely used in aerospace, it is necessary to develop more precise and higher efficient methods to predict the mechanical properties and behaviors of the composites for application. The multiscale eigenelement method (MEM) can be implemented to analysize the periodic composite materials. This paper has reserched the MEM accuracy and mechanical behavior, and deduced the dynamics analytical solution of periodic composite materials. Compared the influence to the accuracy of different model numbers. As for the problems of multiscale eigenelement method, we put forward unit cell modal method. The results of the numerical calculation indicate the effectiveness and feasibility of the unit cell modal method.
VL  - 5
IS  - 6
ER  -

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Author Information

Wu Mengmeng

College of Science, Naval University of Engineering, Wuhan, China
Jia Ruiyu

Municipal and Traffic Engineering Design Institute, Changjiang Institute of Survey Planning Design and Research, Wuhan, China

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APA Style

Wu Mengmeng, Jia Ruiyu. (2017). The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Science Discovery, 5(6), 404-409. https://doi.org/10.11648/j.sd.20170506.11

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ACS Style

Wu Mengmeng; Jia Ruiyu. The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Sci. Discov. 2017, 5(6), 404-409. doi: 10.11648/j.sd.20170506.11

Copy | Download

AMA Style

Wu Mengmeng, Jia Ruiyu. The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials. Sci Discov. 2017;5(6):404-409. doi: 10.11648/j.sd.20170506.11

Copy | Download

@article{10.11648/j.sd.20170506.11,
  author = {Wu Mengmeng and Jia Ruiyu},
  title = {The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials},
  journal = {Science Discovery},
  volume = {5},
  number = {6},
  pages = {404-409},
  doi = {10.11648/j.sd.20170506.11},
  url = {https://doi.org/10.11648/j.sd.20170506.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20170506.11},
  abstract = {As the composite materials and structures are widely used in aerospace, it is necessary to develop more precise and higher efficient methods to predict the mechanical properties and behaviors of the composites for application. The multiscale eigenelement method (MEM) can be implemented to analysize the periodic composite materials. This paper has reserched the MEM accuracy and mechanical behavior, and deduced the dynamics analytical solution of periodic composite materials. Compared the influence to the accuracy of different model numbers. As for the problems of multiscale eigenelement method, we put forward unit cell modal method. The results of the numerical calculation indicate the effectiveness and feasibility of the unit cell modal method.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - The Dynamics Analysis of Multiscale Eigenelement Method on Periodic Composite Materials
AU  - Wu Mengmeng
AU  - Jia Ruiyu
Y1  - 2017/10/27
PY  - 2017
N1  - https://doi.org/10.11648/j.sd.20170506.11
DO  - 10.11648/j.sd.20170506.11
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 404
EP  - 409
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20170506.11
AB  - As the composite materials and structures are widely used in aerospace, it is necessary to develop more precise and higher efficient methods to predict the mechanical properties and behaviors of the composites for application. The multiscale eigenelement method (MEM) can be implemented to analysize the periodic composite materials. This paper has reserched the MEM accuracy and mechanical behavior, and deduced the dynamics analytical solution of periodic composite materials. Compared the influence to the accuracy of different model numbers. As for the problems of multiscale eigenelement method, we put forward unit cell modal method. The results of the numerical calculation indicate the effectiveness and feasibility of the unit cell modal method.
VL  - 5
IS  - 6
ER  -

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