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New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory

Received: 22 February 2019     Accepted: 29 April 2019     Published: 17 June 2019
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Abstract

This paper discovered a new concept that the unit balance and particle balance are not equivalent. Based on the research of tensile of uniform section bar, it indicated that the normal stress and shear stress on oblique section can only make sure partly body balance while not every particles. The value of and is less than the equilibrium stress of particles. Besides, the particle balance stress is times of the unit balance stress in the state of pure extension. The extreme stress is not the principal stress of cell body but the balance stress of particle. Using this formula, the problem existed for 350 years that the stretch-shear act on a bar is easer destroyed relate to the compress-shear acted can be explained perfectly. What’s more, this theory has also been validated in the Damage Mechanics National Key Laboratory of Tsinghua University. The error between this theory and actual is only 1%, while based on three and fourth strength theory, the errors are 14.2%, 18.2% respectively. It’s also the root cause of large bridge collapse.

Published in American Journal of Civil Engineering (Volume 7, Issue 3)
DOI 10.11648/j.ajce.20190703.11
Page(s) 64-72
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), 2019. Published by Science Publishing Group

Keywords

Unit Body Balance, Particle Balance, Stress, Strength Theory

References
[1] Hongwen Liu. Mechanics of Materials [M]. Beijing: Higher Education Press, 2000. (in China).
[2] Jiujiang Zhao. Shaoshi Zhang. Chunxiang Wang. Mechanics of Materials [M]. Harbin: Harbin Institute of Technology Press, 2002. (in China).
[3] Shuanghua Huang, Wenba Han, Xiaolong Pei, Haiping Ma. The balance of unit body and the balance of its mass point are not equivalent [J]. Applied Mathematics and Mechanics, 2015, 36 (S1): 191-204.
[4] Wenba Han, Bingqing Cai, Dabin Liu, Xiaodong Han. The stress on the oblique section of the unit body is not the stress of the upper mass balance [J]. China Engineering Science, 2005 (11): 46-51.
[5] Hongfen Nian, Shuanghua Huang, Wenba Han. Stabilization of Compressed Bars under the Theory of Non-zero Moment Resilience [J]. Journal of Panzhihua University, 2016, 33 (02): 16-19. (in China).
[6] Min Yang, Yu Zhang, Zhanqing Chen. State Key Laboratory of Geomechanics and Underground Engineering, China University of Mining and Technology. Discussion on equilibrium conditions of particle system with time-varying constraints [J]. Journal of Xuzhou Institute of Technology (Natural Science Edition), 2010, 25 (01): 16-20.
[7] Zuhui Shan. Chuanfeng Xie. Engineering Mechanics [M]. Beijing: Higher Education Press, 2007. (in China).
[8] Qinshan Fan. Yajun Yin. Mechanics of Materials [M]. Beijing: Tsinghua University Press, 2005. (in China).
[9] Yingshe Luo. Mechanics of Materials [M]. Wuhan: Wuhan University Press, 2004. (in China).
[10] Rushan Zhang. Tianming Wang and other eight people. Mechanics of Materials [M]. Beijing: China Building Industry Press, 2008. (in China).
[11] Weichang Qian. Kaiqi Ye. Elasticity [M] Beijing: Science Press. 1956. (in China).
[12] Yan Huang. Engineering Elasticity [M].: Tsinghua University Press, 1982. (in China).
[13] Pobertl. Mott. Strength of Materials. Chongqing: Chongqing University Press, 2005. (in China).
[14] Dabin Liu, Wenba Han, Bingqing Cai, Xiaodong Han. Strength Theory and Experimental Phenomena [J]. China Engineering Science, 2007 (12): 44-52. (in China).
[15] Wenba Han. Shuanghua Huang. Non-zero moment elastic theory [M] Chongqing: Chongqing University Press, 2013. (in China).
Cite This Article
  • APA Style

    Shuanghua Huang, Wenba Han, Bingqing Cai. (2019). New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory. American Journal of Civil Engineering, 7(3), 64-72. https://doi.org/10.11648/j.ajce.20190703.11

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    ACS Style

    Shuanghua Huang; Wenba Han; Bingqing Cai. New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory. Am. J. Civ. Eng. 2019, 7(3), 64-72. doi: 10.11648/j.ajce.20190703.11

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    AMA Style

    Shuanghua Huang, Wenba Han, Bingqing Cai. New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory. Am J Civ Eng. 2019;7(3):64-72. doi: 10.11648/j.ajce.20190703.11

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  • @article{10.11648/j.ajce.20190703.11,
      author = {Shuanghua Huang and Wenba Han and Bingqing Cai},
      title = {New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory},
      journal = {American Journal of Civil Engineering},
      volume = {7},
      number = {3},
      pages = {64-72},
      doi = {10.11648/j.ajce.20190703.11},
      url = {https://doi.org/10.11648/j.ajce.20190703.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20190703.11},
      abstract = {This paper discovered a new concept that the unit balance and particle balance are not equivalent. Based on the research of tensile of uniform section bar, it indicated that the normal stress  and shear stress  on oblique section can only make sure partly body balance while not every particles. The value of  and  is less than the equilibrium stress of particles. Besides, the particle balance stress is  times of the unit balance stress in the state of pure extension. The extreme stress is not the principal stress of cell body but the balance stress of particle. Using this formula, the problem existed for 350 years that the stretch-shear act on a bar is easer destroyed relate to the compress-shear acted can be explained perfectly. What’s more, this theory has also been validated in the Damage Mechanics National Key Laboratory of Tsinghua University. The error between this theory and actual is only 1%, while based on three and fourth strength theory, the errors are 14.2%, 18.2% respectively. It’s also the root cause of large bridge collapse.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - New Analysis Based on Unit Body Balance and Its Particle Balance Problem - The Basic Contradiction and New Analysis of Current Elasticity Theory
    AU  - Shuanghua Huang
    AU  - Wenba Han
    AU  - Bingqing Cai
    Y1  - 2019/06/17
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ajce.20190703.11
    DO  - 10.11648/j.ajce.20190703.11
    T2  - American Journal of Civil Engineering
    JF  - American Journal of Civil Engineering
    JO  - American Journal of Civil Engineering
    SP  - 64
    EP  - 72
    PB  - Science Publishing Group
    SN  - 2330-8737
    UR  - https://doi.org/10.11648/j.ajce.20190703.11
    AB  - This paper discovered a new concept that the unit balance and particle balance are not equivalent. Based on the research of tensile of uniform section bar, it indicated that the normal stress  and shear stress  on oblique section can only make sure partly body balance while not every particles. The value of  and  is less than the equilibrium stress of particles. Besides, the particle balance stress is  times of the unit balance stress in the state of pure extension. The extreme stress is not the principal stress of cell body but the balance stress of particle. Using this formula, the problem existed for 350 years that the stretch-shear act on a bar is easer destroyed relate to the compress-shear acted can be explained perfectly. What’s more, this theory has also been validated in the Damage Mechanics National Key Laboratory of Tsinghua University. The error between this theory and actual is only 1%, while based on three and fourth strength theory, the errors are 14.2%, 18.2% respectively. It’s also the root cause of large bridge collapse.
    VL  - 7
    IS  - 3
    ER  - 

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Author Information
  • College of Civil and Architectural Engineering, Panzhihua College, Panzhihua, China

  • Yangtze Petrochemical Co., Ltd, Sinopec General Corporation, Nanjing, China

  • College of Civil and Architectural Engineering, Harbin Institute of Technology, Nanjing, China

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