Theory Of Dislocations

Author: Peter M. Anderson
Publisher: Cambridge University Press
ISBN: 0521864364
Size: 47.71 MB
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Originally published: New York: McGraw-Hill, 1967. Editions published: New York: Wiley, 1982, and Malabar, FL: Krieger, 1992.

Nonlinear Theory Of Dislocations And Disclinations In Elastic Bodies

Author: Leonid M. Zubov
Publisher: Springer Science & Business Media
ISBN: 3540684301
Size: 68.23 MB
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In the physics of solids it is of particular interest to consider Volterra's dislocations
as singular curves (i.e., linear defects). Within a small neighbourhood of the
union of these curves, the strain tensor and its derivatives fail to be continuous
and single-valued. The physics of strength and plasticity mainly treats the theory
of translational-type defects but it is well known that the rotational defects (
disclinations) also appear in solids, liquid crystals, biology structures, polymers,
and other ...

Fundamental Aspects Of Dislocation Theory

Author: Institute for Materials Research (U.S.)
Size: 77.84 MB
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Question 7: What quantum effects are likely to be important in dislocation theory?
Conversely, what is the hope of doing more meaningful quantum calculations in
dislocation theory? Quantum effects will presumably be most important in
problems of thermal activation. At low temperatures, the harmonic oscillators
which are introduced in order to describe the vibrations of the dislocation lines
should be treated by quantum statistics and not, as usually done, by classical
statistics. This will ...

Spectral Theory And Differential Equations

Author: E. Khruslov
Publisher: American Mathematical Society
ISBN: 1470416832
Size: 56.28 MB
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We review the continuous theory of dislocations from a mathematical point of
view using mathematical tools, which were only partly available when the theory
was developed several decades ago. We define a space of dislocation measures
, which includes Hausdorff measures representing the dislocation measures of
single dislocation curves. The evolution equation for dislocation measures is
defined on this space. It is derived from four basic conditions, which must be
satisfied by ...