基于弹性应变能三维Hoek-Brown准则修正

Modification of Three Dimension Hoek-Brown Criterion Based on Elastic Strain Energy

摘要:

基于能量转化是物质物理过程本质属性，从能量角度对H-B准则进行了研究。首先阐明了H-B准则在判断材料破坏时的能量机制，揭示其既是经验型强度准则，更是弹性应变能表示的能量型强度准则，据此得出提高H-B强度准则计算精度的关键所在；然后根据三维H-B准则与弹性应变能数学表达式之间关系，引入材料变形参数，建立仅有3个参数的修正后三维H-B准则；进一步理论分析表明该准则是一族以变形参数为参数的强度准则集合，变形参数等于0.5时蜕化为三维H-B准则；最后的真三轴试验计算表明，修正后三维H-B准则可较好地描述岩石的破坏特性，计算结果较为精确。

Abstract:

The H-B strength criterion was revised from the energy point of view to improve its accuracy and applicability， which was different from the previous methods of improving rock mass characteristic parameters. Based on the fact that elastic strain energy release was the intrinsic mechanism of rock failure，researches were carried out： The general expression of existing H-B criterion was summarized and its energy mechanism in determining material failure was clarified， revealing that the H-B criterion was both an empirical strength criterion and an energy-type strength criterion expressed by elastic strain energy， which led to the key to improving the calculation accuracy of the H-B strength criterion.The H-B criterion was obtained based on the best fit of the strength data the relationship between the criterion and the theoretical expression of elastic strain energy， introducing material deformation parameters to replace Poisson's ratio in elastic strain energy to establish a modified three-dimension H-B criterion including only three parameters.The further theoretical analysis shows that the modified three-dimension H-B criterion is a set of strength criteria with deformation parameters as parameters， when the deformation parameter is equal to 0.5， it degenerates into the existing three-dimensional H-B criterion； Finally， the true triaxial test calculations show that the modified three-dimension H-B criterion can better describe the failure characteristics of the rock， the calculation results are more accurate， and the internal mechanism that produces the above results is analyzed.