Continuum model for dislocation structures of semicoherent interfaces

In order to relieve the misfitting elastic energy, hetero-interfaces become semicoherent by forming networks of dislocations. These microscopic structures strongly influence materials properties associated with development advanced materials. We develop a continuum model for dislocation interfaces. The classical Frank-Bilby equation that governs on interfaces is not able determine unique solution. available methods in literature either use further information from atomistic simulations or consider only special cases (dislocations no more than two Burgers vectors) where has our model, structure interface obtained minimizing energy equilibrium network respect all possible vectors, subject constraint equation. validated comparisons simulation results.