Abstract
This article presents a domain information transfer method for the purpose of quasi-brittle failure analysis. It contains two separated computational levels. On macroscopic level, the material domains are viewed as elementary substances which construct the whole structure. The macroscopic governing equations are established based on this point of view and the boundary displacements of material domains are defined as basic unknowns. Each damaged material domain will be assigned a mesoscale model and the information transfer mechanism from a mesoscale domain to a macroscale domain is established. The damage localization phenomenon is equivalently represented on macroscopic level by boundary deformation of material domains and the macroscale meshes are invariant during analysis. The information exchange element based on nonlocal quadrature scheme is proposed and the efficient upscaling is realized. The proposed method is an efficient and flexible way for quasi-brittle failure analysis.
Highlights
The analysis of quasi-brittle failure is an important topic
The material domains are viewed as elementary substances which construct the whole structure
The macroscopic governing equations are established based on this point of view and boundary displacement of material domains are defined as basic unknowns
Summary
The analysis of quasi-brittle failure is an important topic. The quasi-brittle materials, such as concrete, rocks, and other types of cement-based materials possess complex micro-structure. The damage and fracture of these materials or the structures constructed by them will be affected by this feature significantly. The damage is usually distributed in the materials under relatively low load. The chaotic, stochastic, and distributed damage pattern will convert to the one with obvious directionality and localized characteristics. The prior-formed damage localization band will depress micro-cracks beside it and annex micro-cracks on its forward path, which leads to the damage localization phenomenon on macroscale and influences the overall performance of structure
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