10.2 Edge Dislocation in an Infinite Body
103
a
c
b
d
Fig. 10.2 Formation scheme of screw-type dislocation
a left-hand dislocation would form. The right-hand dislocation can be turned into a
left-hand one by simply turning the crystal.
Both mathematical and physical theories of dislocations are widely applied in the
reinforcement analysis in plastic strain, the study of polygonization, recrystallizing,
creep and other important phenomena occurring in metals and alloys.
However, dislocation theory cannot be deemed universal and complete. This is
supported by multiple ongoing studies both in Russia and abroad. A sufficiently
compressive overview of the latest works in this field can be found in publications
by L. M. Zubov [22, 23], theses by S. V. Derezin [1] et al.
10.2 Edge Dislocation in an Infinite Body
Let us place the beginning of the coordinate system Oxyz with the dislocation core
(Fig. 10.3) and direct the Ox axis parallel to the burgers vector [5]. The Oy axis is
located in the “extra” atomic half-plane, and the third coordinate axis Oz is directed
so that the orts of the selected system form the right three (Fig. 10.3).
With this choice of coordinate axes, the displacement components u, v, and w
will be
103
a
c
b
d
Fig. 10.2 Formation scheme of screw-type dislocation
a left-hand dislocation would form. The right-hand dislocation can be turned into a
left-hand one by simply turning the crystal.
Both mathematical and physical theories of dislocations are widely applied in the
reinforcement analysis in plastic strain, the study of polygonization, recrystallizing,
creep and other important phenomena occurring in metals and alloys.
However, dislocation theory cannot be deemed universal and complete. This is
supported by multiple ongoing studies both in Russia and abroad. A sufficiently
compressive overview of the latest works in this field can be found in publications
by L. M. Zubov [22, 23], theses by S. V. Derezin [1] et al.
10.2 Edge Dislocation in an Infinite Body
Let us place the beginning of the coordinate system Oxyz with the dislocation core
(Fig. 10.3) and direct the Ox axis parallel to the burgers vector [5]. The Oy axis is
located in the “extra” atomic half-plane, and the third coordinate axis Oz is directed
so that the orts of the selected system form the right three (Fig. 10.3).
With this choice of coordinate axes, the displacement components u, v, and w
will be