Nicolo' Briatico
Dynamics of disclination dipoles.
Rel. Marco Morandotti. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Matematica, 2025
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Abstract
In materials science, crystal lattice defects play a crucial role in determining the mechanical behavior of solids. These defects are generally classified into two main categories: dislocations and disclinations. Dislocations are related to translational defects, characterized by a Burgers vector, and are commonly divided into screw and edge types, depending on the orientation of the defect line with respect to the Burgers vector. On the other hand, disclinations are rotational defects associated with an angular mismatch, quantified by the Frank angle. Although dislocations have been extensively studied, in recent years disclinations have gained growing attention for their role in plasticity phenomena at small scales.
One key result is that the renormalized energy of a disclination dipole is equivalent to that of an edge dislocation under appropriate rescaling
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