292
26 Eigen Stresses and Dislocations
edge dislocations into an isotropic, unbounded medium. Various Lorentz factors are
combined in the fields for the elastic deformation ε of a straight edge dislocation
moving with a constant velocity V , those based on transversal and those that are
based on the longitudinal speed of sound. These are combined in complicated manners resulting in the transference of velocity dependencies of elastic energy, so that
one can no longer talk of behaviour in the sense of the Special Theory of Relativity.
There is a simple reason for such general complicated picture of dislocations:
In Eq. (384), two elastic fields with completely different symmetry properties,
namely a field ε
I structurally coupled to dislocations and an elastic displacement
field s, according to ε ik = ε
I
ik +
1
2
(s i , k +s k , i ), simply combined to an elastic field
ε, for which Eq. (384) then apply. We will now sketch out that Eq. (384) do in
fact arise from the superposition of two, different independent systems of equations.
From a system of equation for ε
I and a completely different one for s.
26 Eigen Stresses and Dislocations
edge dislocations into an isotropic, unbounded medium. Various Lorentz factors are
combined in the fields for the elastic deformation ε of a straight edge dislocation
moving with a constant velocity V , those based on transversal and those that are
based on the longitudinal speed of sound. These are combined in complicated manners resulting in the transference of velocity dependencies of elastic energy, so that
one can no longer talk of behaviour in the sense of the Special Theory of Relativity.
There is a simple reason for such general complicated picture of dislocations:
In Eq. (384), two elastic fields with completely different symmetry properties,
namely a field ε
I structurally coupled to dislocations and an elastic displacement
field s, according to ε ik = ε
I
ik +
1
2
(s i , k +s k , i ), simply combined to an elastic field
ε, for which Eq. (384) then apply. We will now sketch out that Eq. (384) do in
fact arise from the superposition of two, different independent systems of equations.
From a system of equation for ε
I and a completely different one for s.