基于粒子群算法的多剪强度准则研究

Research on Mutil-shear Strength Criterion Based on Partical Swarm Optimization

在摩尔-库仑强度准则、德鲁克-普拉格强度准则、线性、非线性统一强度理论和三剪强度准则的基础上,考虑二十六面单元体上3组主剪面应力及其面上的正应力、八面体剪应力及其面上的正应力及3个主应力共同作用,提出了多剪强度准则。根据已有的岩石真三轴试验结果,利用粒子群算法搜索出多剪强度准则参数并与三剪强度准则及双剪统一强度准则、摩尔库伦强度准则、三剪能量屈服准则相比较,结果表明该强度准则与试验结果吻合较好,适应于不同种类的岩石。另针对多数强度准则只在子午面或π平面作定性分析的情况,特别增加了σ1-σ2平面上的直接比较,结果表明,该强度准则具有非常好的适用性及推广价值。

Considering the interaction of three principal shear stress and three normal stress,octahedral shear stress and normal stress and three primary stress acting on the 26-polyhedron model,a new mutil-shears strength criterion is proposed. It is based on analysis of Mohr-coulomb strength criterion,Drucker-Prager strength criterion,liner and nonlinear unified strength theory and three shear strength criterion.Based on the exiting true triaxial experiment result,using the Partical Swarm Optimization,the parameters of shears strength criterion are finded out.Comparing with Mohr-Coulomb strength criterion,three shear strength criterion,triple shear energy yield criterion and twin shear theory,the results show that multi-shear strength criterion agrees with the experiment well,for all kinds of rocks.Also aiming at numerous strength theory,qualitative analysis in meridian plane or π plane only,direct comparison in σ1-σ2 plane is added particularly.The results indicate that multi-shear strength criterion has good applicability and high promotional value.