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| 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.show more
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2013A-4