Abstract
Molecular dynamics (MD) and experiments indicate that the high-speed dislocations dominate the plasticity properties of crystal materials under high strain rate. New physical features arise accompanied with the increase in dislocation speed, such as the “Lorentz contraction” effect of moving screw dislocation, anomalous nucleation, and annihilation in dislocation interaction. The static description of the dislocation is no longer applicable. The elastodynamics fields of non-uniformly moving dislocation are significantly temporal and spatially coupled. The corresponding mathematical formulas of the stress fields of three-dimensional (3D) and two-dimensional (2D) dislocations look quite different. To clarify these differences, we disclose the physical origin of their connections, which is inherently associated with different temporal and spatial decoupling strategies through the 2D and 3D elastodynamics Green tensor. In this work, the fundamental relationship between 2D and 3D dislocation elastodynamics is established, which has enlightening significance for establishing general high-speed dislocation theory, developing a numerical calculation method based on dislocation elastodynamics, and revealing more influences of dislocation on the macroscopic properties of materials.
Highlights
High strain rate deformation has long been a central concern in the fields such as machine manufacturing, automotive, aviation, aerospace, and military [1–3]
Numerous molecular dynamics (MD) simulations have demonstrated that the dislocation density will go up with the increase of impact pressure, while the nucleation and motion of dislocations still dominate the plastic deformation of the material under the high strain rate condition [6–9]
3D and 2D elastodynamics Green tensors act as mediums for correlations between both elastodynamics fields, the 2D dislocation elastodynamics is successfully derived from the higher dimensional elastodynamics fields, and their intrinsic physical connections and distinctions are investigated
Summary
High strain rate deformation has long been a central concern in the fields such as machine manufacturing, automotive, aviation, aerospace, and military [1–3]. The rebounding of a edge or a screw dislocation from the free surface has been found when it moves at a high-velocity [33] These abnormal mechanisms can lead to a rapid increase in dislocation density that is strongly correlated both spatially and temporally, affecting high-strain-rate plastic deformation from the microscopic level. To this day, the elastodynamics effect on high-speed dislocation is far from being well understood, because the full history-dependent nature and spatial–temporal coupling feature significantly complicate the analysis of the problem. 3D and 2D elastodynamics Green tensors act as mediums for correlations between both elastodynamics fields, the 2D dislocation elastodynamics is successfully derived from the higher dimensional elastodynamics fields, and their intrinsic physical connections and distinctions are investigated
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