Preprint

Inserted: 11 aug 2026
Last Updated: 11 aug 2026

Pages: 21
Year: 2026

Abstract:

We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting with a fixed wedge disclination in a circular domain. We derive the reduced interaction energy, characterize the equilibrium states and their stability, and study the associated dissipative evolution. The analysis reveals characteristic length scales and collision times arising from the competition between the dislocation and disclination contributions. In particular, the presence of the disclination produces a nontrivial modification of the dislocation dynamics and can hinder its motion. This behavior is consistent with experimental observations and provides a simple mathematical description of the interaction between rotational and translational defects.

Keywords: linearized elasticity, edge dislocations, Wedge Disclinations, Dynamics of defects, Interaction Length Scales

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