ABSTRACT

The shear of a crystalline interface by a matrix dislocation is an elementary phenomenon of plasticity that generates a three-dimensional elastic field difficult to express. However, in the case of a flat interface and two elastic isotropic media, the present work shows that this field can be described starting from an explicit form of the Green tensor associated with a point force exerted in one of the crystals. Indeed, the knowledge of this tensor makes it possible to express the displacement field of a dislocation in the final form of a surface integral. Because the shear is limited by a matrix branch and an interfacial branch, the dislocation can be called ‘hybrid dislocation’ or HD. If the two branches are straight, the field is that of an angular HD. Moreover, if the crystals are identical, the field becomes that of an angular matrix dislocation whose field is well known since Yoffe (1960). By applying the superimposition theorem, it becomes possible to determine the field of more complex configurations, such as those sometimes observed during the transmission of the plastic slip through the interfaces.

摘要

基质位错对晶体界面的剪切是可塑性的基本现象，其产生难以表达的三维弹性场。但是，在平面界面和两种弹性各向同性介质的情况下，本工作表明，可以从与晶体中施加的点力相关的格林氏张量的显式形式开始描述该场。实际上，该张量的知识使得有可能以表面积分的最终形式表达位错的位移场。由于剪切受矩阵分支和界面分支的限制，因此位错可以称为“混合位错”或“ HD”。如果两个分支是笔直的，则该场为角HD的场。而且，如果晶体是相同的，该场成为角矩阵位错的场，自Yoffe（1960）以来其场已众所周知。通过应用叠加定理，可以确定更复杂配置的领域，例如在塑料滑模通过界面传输期间有时观察到的那些领域。