Multiscale Modeling of Probabilistic Failure of Quasibrittle Structures Under Impact
This research aims to develop a novel multiscale numerical model for probabilistic analysis of quasibrittle structures under impact. The proposed model will be anchored by a stochastic FE model, where the probability distribution functions of the relevant material properties will be determined by a rate-dependent finite weakest link model and a stochastic micromechanical model. The finite weakest link model will statistically represent the damage localization mechanism and naturally involve the length scales associated with the stochastic material damage process. Consequently, the weakest link model will be able to correctly capture the dependence of the probability distribution functions of the material properties on the finite element mesh size, which is essential for mitigating the spurious mesh sensitivity for the stochastic FE simulations of dynamic quasibrittle fracture. The finite weakest link model will be further calibrated and validated through a stochastic micromechanical model, which can explicitly represent the random grain sizes, pre-existing flaws and fracture properties of grain boundaries. Therefore, through this multiscale model, the variability of the material properties for the FE model will be physically related to the random microstruc- tural features as well as the random fracture properties at the micro-scale. The researchers use MSI high-performance computing facilities to perform stochastic simulations for both macro- and meso-scale structures
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