A continuum model for core relaxation of incoherent twin boundaries based on the Peierls–Nabarro framework

We present a continuum model for the core relaxation of incoherent twin boundaries based on the Peierls–Nabarro framework, incorporating both the long-range strain field and the local atomic structure. The continuum model is applied to the finite size effect of twin boundaries and interactions of dislocations with twin boundaries. The obtained results agree well with the experimental and atomistic simulation results. This model provides a basis for quantitative study of structures and collective behaviors of twin boundaries within the continuum framework.