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- W1567806940 abstract "We propose a fracture model of a vibrating wire modeled as a one dimensional spring- mass system. We introduce a phase field variable for damage of the springs and represent a fracture of the wire by a cutting of the spring. The model we propose consists of a system of ordinary differential equations and admits rigorous mathematical analysis, such as global existence of a unique solution and an energy decay estimate. The validity of our fracture model and its estimate is confirmed using numerical simulations." @default.
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- W1567806940 date "2013-01-01" @default.
- W1567806940 modified "2023-09-27" @default.
- W1567806940 title "Vibration-fracture model for one dimensional spring-mass system" @default.
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