2017/05/23 by Marco Morandotti, Morandotti, Marco
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #High Temperature Alloys and Creep #Microstructure and mechanical properties
paper · pdf · doi:10.48550/arxiv.1705.08121
openalex publication_date 2017/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain analytical results on the estimates of collision times (one dislocation with the boundary and two dislocations with opposite Burgers vectors with each other); numerical evidence is also provided. In the latter, we obtain analytical results stating that, under imposing a certain type of boundary conditions, it is energetically favorable for dislocations to remain confined inside the domain.