利用混合定律,对仅适用于均匀直径颗粒体材料的梯度塑性理论进行了修改。对多直径颗粒体材料的剪切带的分析表明,构成岩土材料的各组分尺寸及含量都对剪切带内部的局部塑性剪切应变分布及其宽度有影响。在三轴压缩条件下,得到了由多直径颗粒体材料构成的岩样的差应力-应变曲线的峰后斜率的表达式。该斜率受各组分的力学性质、几何性质、含量及剪切带倾角影响。将不同围压及不同超径颗粒含量条件下的实验结果和理论结果进行了比较,验证了理论模型的正确性。
A modification from classical gradient-dependent plasticity that is applicable to the material with uniform grains in size is presented by use of mixing law. For the material with different grains in size, shear band is analyzed. It is found that the size and content of grains influence the distribution of local plastic shear strain in shear band and the thickness of the band. In triaxial compression, an expression for the post-peak slope of differential stress-strain curve of rock specimen that is composed of the material with different grain diameters is proposed. The slope is influenced by the mechanical properties, geometrical properties and content of grains with different sizes as well as the shear band inclination. The present theoretical results are compared with the previously experimental results for granular material with different coarse grain percentages at different confining pressures. The validity of the proposed analytical model is verified.