非轴对称荷载下圆形隧洞围岩弹塑性分析解析解

考虑岩石材料的应变软化及扩容效应，采用岩石材料的弹性-塑性软化-塑性残余三线性应力-应变软化模型和莫尔-库仑屈服准则，推导了非轴对称荷载下圆形隧洞围岩弹性区、塑性软化区和塑性残余区的应力场、应变场、位移场和塑性区半径的近似解析解，适用于围岩塑性区较大且侧压力系数1≤λ<3的情况。该近似解析方法与有限元法的计算结果较为接近，可代替有限元方法进行简单的圆形隧洞围岩弹塑性分析。

Analytical elastoplastic solutions to supporting rock masses of circular tunnels under asymmetric load

Considering the behaviors of strength reduction and volume dilatancy of rock materials, the approximate analytical solutions to calculating the extent of the plastic zone, stress field and displacement field in rock masses of circular tunnels are proposed. The elastic-softening-residual plastic triple linear stress-strain model and the Mohr-Coulumb failure criterion are involved. The analytical solutions are valid when the plastic zone is comparatively large and the lateral pressure coefficients 1≤λ<3. These solutions are very close to the results calculated by the finite element method, which can be used for the simple elastoplastic analysis of the circular openings instead of the finite element method.