M. Toubane  , O. Khalfallah  , 
    Anisotropic Effect on Elastic Interaction Between Dislocation and General Grain Boundaries in Some Hexagonal Metals: Be,Y, Zn,
    Journal of Engineering and Applied Sciences,
    Volume 2,Issue 12,
    2007,
    Pages 1777-1781,
    ISSN 1816-949x,
    jeasci.2007.1777.1781,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2007.1777.1781)
    Abstract: In this study, we examine the anisotropic effect on elastic interaction between dislocations and general grain boundaries for hexagonal metals; Be Y and Zn. In the setting of the anisotropic linear elasticity in continuous media the calculations of the elastic interaction energy  E have been gotten by Head then to be improved by Barnett and Lothe. The dislocations in elastic interaction with a grain boundary in a bicrystal of an elastically anisotropic material are submitted to an image force Fi = - E/d. The results are represented in isoenergy cards on a stereographic projection. The result showed that the interaction energy is inversely depends to the factor of anisotropy H. The maximal energy of interaction is lower then 14 pJ m <SUP>1</SUP> its always weaker compared to the case of the cubic metals where it is of the order of 100 pJ m <SUP>1</SUP>. The image force can be attractive repulsive or null. The proportion of attracted dislocations depends to the disorientation and the factor of anisotropy H.
    Keywords: Gains boundaries;dislocation;anisotropic elasticity;elastic interaction;image force;metal