Abstract
The paper proposes a three-scale binary medium-based constitutive model on the basis of the meso structures and micro components to describe the elasto-plastic mechanical behavior of mudstone sam-ples.Based on the breakage mechanism of geomaterials,mudstone samples are considered as two differ-ent materials(bonded and frictional elements)at mesoscales.From micro to meso scales,given the similar but different mineralogy composition and porosity of the bonded and frictional elements at microscale,as well as their separate mechanical characteristics,different homogenization methods are adopted to obtain their respective meso mechanical properties.At the mesoscale,in view of the unique meso structures and the continuous material transformation,the extended self-consistent scheme(SCS)is improved to be adaptable to elasto-plastic composites with varying meso components.With the con-sideration of the evolution form of the breakage ratio under the external loading being given based on the assumed strength distribution of the meso bonded elements,the mechanical relations between meso and macro scales are established.Finally,on the basis of the mean-field method and combined with the crit-ical mechanical connections between different scales,the micro-meso-macro constitutive model for mudstone samples are proposed.The model validation shows that,with a few model parameters,the pro-posed model can well reflect the stress and deformation features of mudstone samples with complex micro-components.
基金项目
funding of Highway Planning,Survey and Design Research Institute,Sichuan Provincial Transport Department(2020-WX-15)
National Natural Science Foundation of China(NSFC)(U22A20596)
万方数据