Pan Ke-lin, Chen Zhi-da. A Screw Dislocation by Nonlinear Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1037-1045.
Citation: Pan Ke-lin, Chen Zhi-da. A Screw Dislocation by Nonlinear Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1037-1045.

A Screw Dislocation by Nonlinear Continuum Mechanics

  • Received Date: 1994-06-07
  • Publish Date: 1994-12-15
  • Based on the nonlinear geometry field theory of continuum mechanics, this paper analyses the stress field due to a serew dislocation in an infinite an infinite medium. The results reveal the high-order effect of the stress field. When this effect is small, the result can be reduced to one of the classical linear elasticity. The body couple field of the serew dislocation is also investigated in this paper. The analytiecal expression of the body couple due to a serew dislocation is obtained with small rotation deformation. As the application of theoretical results. the stress and the body couple at the interface of the crystals are calculated when the serew dislocation is near the interface.
  • loading
  • [1]
    Mura, T., Micromechanics of Defects in Solids, Martinus Nijhoff Publisher, The Hague &London (1982)
    [2]
    Hirth, J. P. and J. Lothe, Theory of Dislocations, John-Wiley & Sons, 2nd ed.(1982).
    [3]
    Nabarro, F. R. N., Theory of Crystal Dislocations, Clarendon Press(1967).
    [4]
    Kröner, E., Kontiuumstheorie der Versetzungen and Eigenspannugen, Spring-Verlag, Berlin (1958).
    [5]
    Duan, Z. P., Duality principle of conservation laws in dislocation continuum, Int. J. Solids Structures, 21(1985), 683-697.
    [6]
    陈至达,连续介质有限变形力学几何场论,力学学报,(2)(1979),107-117.
    [7]
    陈至达,《有理力学》,中国矿业大学出版社,徐州(1986).
    [8]
    Wang, C. and Z. D. Chen., Microrotation analysis applied to material cracking and toughness, Int. J. Frart.,54(1992), 359-369.
    [9]
    Chen, Z. D., Energy principle of large deformation for living systems and application to biocybernetics, US National Congress of Applied Mechanics, Arigona USA, May 21-25 (1990).
    [10]
    潘客麟,固体缺陷转动场中的非线性问题,博士学位论文,中国矿业大学北京研究生部(1991).
    [11]
    Kubo, T., Y. Wakaxhima, K. Amano and M. Nagai, Effects of crystallographic orientation of plastic deformation and SCC initiation in zirconium alloys, Res Mechanica, 20 (1987), 217-234.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1781) PDF downloads(498) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return