Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case
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- Braides, A., Dal Maso, G. & Garroni, A. Arch Rational Mech Anal (1999) 146: 23. doi:10.1007/s002050050135
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. We show that discrete models of atoms subject to nearest‐neighbour non‐linear interactions approximate continua allowing for softening and fracture. A detailed study of local minima and stationary points is carried out. Scale effects are discussed.