基于Voigt与Reuss模型的岩土二元介质破损规律

Breakage Laws of Binary Structure of Rock and Soil Based on Voigt Model and Reuss Model

在破损力学的理论框架下,非均质岩土材料被抽象为由胶结元和摩擦元组成的二元介质。本文基于Voigt和Reuss模型推导出满足变形协调和应力连续条件的岩土破损力学本构方程,通过算例分析三轴复杂应力状态下岩土二元介质的破损规律、荷载及变形的分担情况。结果表明:岩土二元介质的破损行为与胶结元、摩擦元的物理力学特性、围压和应力水平等有关,随着应力水平的增大,胶结元在抵抗轴向压力中发挥的作用逐渐减小,而在抵抗轴向变形中发挥的作用则先减小后增大;随着围压的增大,胶结元在抵抗轴向压力和剪切力中发挥的作用均逐渐减小,而在抵抗轴向变形和剪切变形中发挥的作用均逐渐增大。

Rock and soil are heterogeneous and porous materials.Under the framework of damage mechanics,rock and soil materials are idealized as binary mediums composed of cementation elements and friction elements.Two constitutive equations are derived based on Voigt model and Reuss model and satisfy conditions of deformation coordination and stress continuity respectively.Damage law of binary medium and sharing of load and deformation under three axes complex stress state were discussed by acase.Results show that failure behavior of binary medium is related to physical and mechanical properties of cementation element and friction element,confining pressure and stress level et al.With the increase of stress level,the role of cementation element in resisting axial compression decreases gradually,while resistance to the axial compressive deformation decreases first and then increases.With the increase of confining pressure,the role of cementation elementin resisting axial pressure and shear forcedecreases gradually,and the resistance to axial compression deformation and shear deformation increases gradually.