平行层状岩体的自重应力场

Gravitational stresses in parallel stratified rock mass

将平行层状复合岩体视为等效的横观各向同性体，推导出自重荷载下地应力的理论解，并分析了两个水平主应力受岩层倾角和岩体弹性参数的影响。结果表明，与各向同性岩体相比，水平主应力的变化范围增大了，并且两个水平主应力可能不再相等，而岩层倾角对水平主应力之比影响显著，当倾角从0° ～ 90°变化时，两个水平主应力能从相等到相差几倍。这也说明在地应力研究中，考虑岩体的各向异性是十分必要的。所导出的自重应力场解答对地下工程问题具有一定的实用价值。

Closed-form solution has been obtained for the geostress field induced by gravity in inclined stratified rock mass which is represented by an 'equivalent' homogeneous transversely isotropic elastic material. In view of the fact that the elastic parameters is constrained by the thermodynamic requirement, the effects of inclined angle θ and elastic parameters on gravity-induced horizontal stresses are analyzed. The main conclusions are as follows: (1) The range of permissble values of horizontal stresses is broader in transversely isotropic rockmass than in isotropic one. (2) The angle θ has an important effect on either the ratios between horizontal and vertical principal stresses or the ratio between two horizontal principal stresses.