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- W2025480899 abstract "The macroscopic behavior of a system of elastic elements that can be in one of two states, depending on the relationship between the stress they carry to a critical stress (different for each elastic element), is studied. There are two extreme cases: (1) in which the critical stress is hysteretic (there is microscopic hysteresis) and (2) in which the critical stress is not hysteretic (there is no microscopic hysteresis). The first case is that well studied in the context of geophysics, commonly referred to as the Preisach model [1] (macroscopic hysteresis is conferred by microscopic hysteresis). The second case, less familiar, has hysteresis that arises from the interaction of elastic elements. The second case corresponds to the T=0 random field Ising model, RFIM [2]. This system is studied in a two-dimensional finite element environment. The phase space for behavior of the system is mapped and the finite element is formulated to reflect Preisach and RFIM behavior. The numerical examples demonstrate that macroscopic hysteresis is observed in both models." @default.
- W2025480899 created "2016-06-24" @default.
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- W2025480899 date "2010-01-01" @default.
- W2025480899 modified "2023-09-23" @default.
- W2025480899 title "Hysteretic Elastic Systems" @default.
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- W2025480899 doi "https://doi.org/10.1121/1.3533838" @default.
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