We consider an exact reduction of a model of Field Dislocation Mechanics to a scalar problem in one spatial dimension and investigate the existence of static and slow, rigidly moving single or collections of planar screw dislocation walls in this setting. Two classes of drag coefficient functions are considered, namely those with linear growth near the origin and those with constant or more gen...

The interaction of screw dislocations with an applied stress is studied using atomistic simulations in conjunction with a continuum treatment of the role played by the far field boundary condition. A finite cell of atoms is used to consider the response of dislocations to an applied stress and this introduces an additional force on the dislocation due to the presence of the boundary. Continuum ...

Background & Aims: Acute acromioclavicular (AC) joint dislocation is common in shoulder injuries. Considering the biomechanics of this joint, the use of a treatment method, which can restore joint physiology and biomechanics to the extent possible, is important. This study aimed to compare the treatment of acute AC joint dislocation by screw fixation with and without ligament reconstruction. Me...

We consider non-relativistic position-dependent mass (PDM) Schödinger particles moving in an elastic medium with space-like screw dislocation. Within the cylindrical coordinates $$\left( r,\phi ,z\right) $$ , we study and report effects of dislocation as well PDM settings on energy levels some PDM-quantum mechanical systems. In so doing, use a power-law type positive-valued dimensionless scalar...

The purpose of this study was to define a new clinical classification of atlantoaxial dislocation based on its clinical manifestations, namely reducible atlantoaxial dislocation (RAAD), irreducible atlantoaxial dislocation (IAAD), and fixed atlantoaxial dislocation (FAAD). A total of 107 patients with atlantoaxial dislocation were respectively treated based on this clinical classification, incl...

Introduction Researches on dislocations in graphite have been carried out from the 1950s. For example, edge dislocations [1] and partial dislocations in the basal plane [2] have been observed by transmission electron microscopy (TEM). The spiral growth patterns which originate from the screw dislocation have been observed [3, 4]. Moreover, it was observed by atomic force microscope (AFM) that g...

We have developed a self-consistent model for predicting the velocity of 1/2[111] screw dislocation in binary iron–carbon alloys gliding by high-temperature Peierls mechanism. The methodology modelling includes: (i) Kinetic Monte-Carlo (kMC) simulation carbon segregation core and determination total occupancy binding sites; (ii) Determination kink-pair formation enthalpy iron—carbon alloy; (iii...

Dislocation motion governs the strength and ductility of metals, and the Peierls stress (σp) quantifies dislocation mobility. σp measurements carry substantial uncertainty in face-centered cubic (fcc) metals, and σp values can differ by up to two orders of magnitude. We perform first-principles simulations based on orbital-free density functional theory (OFDFT) to calculate the most accurate cu...

It is well-known that the solution for a straight dislocation in an infinite medium does not depend on the cut along which the displacement discontinuity is imposed. This is also true for a semi-infinite medium, or any simply-connected region. The stress and strain fields, energy and dislocation forces are the same regardless of the cut. Only displacements differ in the region between the two c...

The correspondence theorem which relates the solutions of displacement boundary value problems in classical and couple stress elasticity is formulated and applied to derive the solutions for edge and screw dislocations in an infinite medium. The effects of couple stresses on the dislocation strain energy is evaluated for both types of dislocations. It is shown that within a radius of influence ...