Multiscale Rkpm Formulation for Modeling Penetration of An Ultra High-Strength Concrete Material

Abstract eng:
Impact and penetration events involve complex response phenomena such as damage and fragmentation, which present particular challenges to numerical methods like the finite element method. Further, the commonly used phenomenological damage law gives no direct consideration to the evolution of continuum-scale damage with respect to microcrack formation and growth within the substructure. In this work, we introduced the reproducing kernel particle method (RKPM) to impact and penetration problems, and a hierarchical multiscale modeling technique under the framework of RKPM is proposed. A multiscale damage model is developed based on homogenization of a cracked microscopic cell, which is termed the microcrack-informed damage model (MIDM). Bridging between scales is accomplished by a novel energy equivalence approach. Application of the MIDM to a specific ultra high-strength concrete material is discussed, and results from the analysis of a benchmark penetration problem are presented.

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