Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media |
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Authors: | Feng Rong Haiying Wang Mengfen Xia Fujiu Ke Yilong Bai |
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Institution: | (1) State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of Physics, Peking University, Beijing, 100871, China;(3) Department of Applied Physics, Beihang University, Beijing, 100083, China |
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Abstract: | In heterogeneous brittle media, the evolution of damage is strongly influenced by the multiscale coupling effect. To better
understand this effect, we perform a detailed investigation of the damage evolution, with particular attention focused on
the catastrophe transition. We use an adaptive multiscale finite-element model (MFEM) to simulate the damage evolution and
the catastrophic failure of heterogeneous brittle media. Both plane stress and plane strain cases are investigated for a heterogeneous
medium whose initial shear strength follows the Weibull distribution. Damage is induced through the application of the Coulomb
failure criterion to each element, and the element mesh is refined where the failure criterion is met. We found that as damage
accumulates, there is a stronger and stronger nonlinear increase in stress and the stress redistribution distance. The coupling
of the dynamic stress redistribution and the heterogeneity at different scales result in an inverse cascade of damage cluster
size, which represents rapid coalescence of damage at the catastrophe transition. |
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Keywords: | Heterogeneity damage evolution FEM damage coalescence catastrophic rupture stress redistribution |
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