TY - ELEC
AU - Gao, Yuan
PY - 2018
TI - Analytic solution to nonlocal Peirtls-Nabarro models
LA - eng
M3 - Moving Image
AB - The Peierls-Nabarro model was first introduced by Peierls Nabarro to describe the continuum model of dislocation in
materials.
It incorporates the atomic effect into the continuum framework and give us an understanding of dislocation core structure. Our main
goal is to determine the displacement in the whole space using Perierls-Nabarro (PN) model, which incorporates the atomic effect
into the continuum framework. We focus on the existence of analytic solution to Peierls-Nabarro model including stationary model
and dynamic model. Since we incorporate the misfit surface energy into total energy of the system, which leads to a nonlinear
boundary condition, the strategy is to first decouple the displacement field and then to uniquely solve a nonlocal equation on
boundary.
N2 - The Peierls-Nabarro model was first introduced by Peierls Nabarro to describe the continuum model of dislocation in
materials.
It incorporates the atomic effect into the continuum framework and give us an understanding of dislocation core structure. Our main
goal is to determine the displacement in the whole space using Perierls-Nabarro (PN) model, which incorporates the atomic effect
into the continuum framework. We focus on the existence of analytic solution to Peierls-Nabarro model including stationary model
and dynamic model. Since we incorporate the misfit surface energy into total energy of the system, which leads to a nonlinear
boundary condition, the strategy is to first decouple the displacement field and then to uniquely solve a nonlocal equation on
boundary.
UR - https://open.library.ubc.ca/collections/48630/items/1.0376908
ER - End of Reference