【摘要】 基于非线性大变形几何场论 ,建立了覆岩断裂带高度预计的差分余量法 ,使得地表移动预计和覆岩断裂带的确定统一为一个有机整体 ;证明了介质变形连续性的协调条件可以用转动协调方程等价表示 ,微观转动不协调是导致岩石类材料颗粒与夹杂接触边界产生微裂纹的原因 .算例的计算结果表明 ,该方法简单、快速 ,有望在放顶煤开采和水体下采煤中得到应用 .更多还原

【Abstract】 Based on the nonlinear geometric field of large deformation and the S(Strain) R(Rotation) decomposition theorem, a new method, the differential residual method, was established and applied to calculate surface subsidence and height of fractured zone in overlying strata. It is proved that the compatibility conditions of deformation in continuum mechanics can be expressed equally by rotation equations, and the incompatibility of micro rotation can initiate micro cracks on the conjunct boundary. This research makes it possible to unify the prediction of mining subsidence and the determination of fractured zone height. A numerical example shows that this method is effective and easily to come into use in the fields of top coal caving mining and coal mining under water bodies in future.更多还原