A stochastic jump and deterministic dynamics model of impact failure evolution with rate effect |
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| Authors: | MF Xia YL Bai FJ Ke |
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| Institution: | aLaboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080, China;bDepartment of Physics, Center for Nonlinear Science, Peking University, Beijing 100871, China;cDepartment of Applied Physics, Center of Nonlinear Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| Abstract: | Motivated by the observation of the rate effect on material failure, a model of nonlinear and nonlocal evolution is developed, that includes both stochastic and dynamic effects. In phase space a transitional region prevails, which distinguishes the failure behavior from a globally stable one to that of catastrophic. Several probability functions are found to characterize the distinctive features of evolution due to different degrees of nucleation, growth and coalescence rates. The results may provide a better understanding of material failure. |
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