基于Hoek-Brown准则下的富水透水隧洞非线性解析

Nonlinear analytical solution for underwater tunnel using Hoek-Brown failure criterion

将具有衬砌的圆形隧道各影响因素简化为轴对称问题。以渗透体积力的方式作用在应力场,基于Hoek-Brown强度准则,推导出塑性区应力场和塑性区半径的解析表达式。实例分析表明,随内外水头差的逐渐增大,渗流场和应力重分布对应力场的影响作用将显著增大,且对切向应力的影响程度要比径向应力的大,洞周压应力和塑性半径逐渐减小。随着m的增大,应力和塑性区半径均随之增加,塑性区半径与参数m为非线性递增关系。算例对比分析表明:考虑应力重分布和渗流时其塑性区半径较不考虑二者时大。

The liner of a subsea circular tunnel is simplified as axi-symmetrical and the effect of seepage field is simplified as seepage volumetric force in the stress field.Using the Hoek-Brown yield criterion,analytical solution of plastic stress and plastic radius are obtained,considering the body force of seepage.An example is analyzed with and without considering the fluid flow field.The study shows that the influences of seepage field and stress redistribution on the stress field are significant along with the gradient increase between inner and outer water heads of the tunnel,and the degree of influence on tangential stress is more than that on radial stress.The compressive stresses and plastic radius gradually decrease with the increase of inner head.