LEFM is agnostic to geometrical nonlinearities arising at atomistic crack tips

• Geometrical nonlinearities cause deviations from LEFM even in materials with linear elastic response prior to cleavage Fracture is a collective phenomenon at the atomic scale, purely local and interactions toughness cannot be re-conciliated using only separation distance of crack tip atom pair an incremental loading procedure also influence lattice trapping Realistic nonlinear responses are added layer Various fields such as mechanical engineering, science, etc., have seen widespread use fracture mechanics (LEFM) continuum scale. routinely applied However, its applicability this scale remains less well studied, most studies focusing on non-linear effects. Using harmonic ”snapping spring nearest-neighbor potential which provides closest match discrete lattice, we show that nature leads displacement field during energy minimization. We propose these can ascribed geometrical since material does not bond breaking. demonstrate advance critical stress intensity factor scenario governed by collectively loaded region, determined analytically properties (max. elongation, max. sustained force, etc.) stressed alone.