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Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. (English) Zbl 0945.74006
Summary: We show that discrete models of atoms subject to nearest-neighbour nonlinear interactions approximate continua allowing for softening and fracture. A detailed study of local minima and stationary points is carried out. Scale effects are discussed.

74A45 Theories of fracture and damage
74A60 Micromechanical theories
74R20 Anelastic fracture and damage
74G65 Energy minimization in equilibrium problems in solid mechanics
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