岩体变形加固理论及非平衡态弹塑性力学

REINFORCEMENT THEORY CONSIDERING DEFORMATION MECHANISM OF ROCK MASS AND NON-EQULIBRIEM ELASTO-PLASTIC MECHANICS

完善了基于不平衡力的变形加固理论,建立起严格的理论基础。指出对于给定的外荷载,结构的工作区域可能是弹性区、稳定弹塑性区或非稳定弹塑性区,结构在非稳定弹塑性区需要加固力维持稳定。经典弹塑性理论只适用于弹性区和稳定弹塑性区,变形加固理论的理论基础是非平衡态弹塑性力学,它是经典弹塑性理论的增量延拓,适用于非稳定弹塑性区。结构在非稳定弹塑性区服从最小塑性余能原理,该原理要求在给定外荷载的情况下,结构自承力最大化而加固力最小化,该理论为新奥法施工技术提供了严格的理论依据。指出潘家铮最大最小原理就是最小塑性余能原理在结构极限状态的特例和推论。最后给出了变形加固理论在溪洛渡高拱坝建基面优化设计上的应用。

The reinforcement theory considering deformation mechanism of rock mass is proposed and authors. The main ingredient of the theory is that the unbalanced forces of a deformable body in elasto-plastic elaborated. calculation are just the required reinforcement forces, and the elasto-plastic calculation always tends to minimize the unbalanced forces. It is revealed that the reinforcement theory is based on the so-called non-equilibrium elasto-plastic mechanics, which leads to the minimum plastic complementary energy principle for the corresponding unstable structures. Case study on an arch dam shows that the distribution of unbalanced force is helpful to evaluate the structural stability and reinforcement.