Stability of a Screw Dislocation in a⟨011⟩Copper Nanowire

Analysis of stress field of a screw dislocation inside an embedded nanowire using strain gradient elasticity

K.M. Davoudi, M.Yu. Gutkin and H.M. Shodja* Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, 11155-9313 Tehran, Iran Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasil. Ostrov, St. Petersburg 199178, Russia Department of Physics of Materials Strength and Plasticity, St. P...

Analysis of displacement and strain fields of a screw dislocation in a nanowire using gradient elasticity theory

H.M. Shodja,* K.M. Davoudi and M.Yu. Gutkin Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, 11155-9313 Tehran, Iran Institute for Nanoscience and Nanotechnology, Sharif University of Technology, 11155-9161 Tehran, Iran Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasil’e...

Dislocation core field. II. Screw dislocation in iron

Existence and Stability of a Screw Dislocation under Anti-plane Deformation

We formulate a variational model for a geometrically necessary screw dislocation in an anti-plane lattice model at zero temperature. Invariance of the energy functional under lattice symmetries renders the problem non-coercive. Nevertheless, by establishing coercivity with respect to the elastic strain and a concentration compactness principle, we prove existence of a global energy minimiser an...

Kinks in the a/2〈111〉 screw dislocation in Ta

We study the structure and formation energy of kinks in the 1/2a〈111〉 screw dislocations in metallic Tantalum (Ta) using molecular dynamics with a first principles based many-body interatomic potential. In our study, four a/3〈112〉 kinks are constructed in a quadrupole arrangement in the simulation cell. To the simulation cell, we impose periodic boundary conditions in the directions perpendicul...