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常规的刚体极限平衡法难以适应对高坝坝基、高边坡、大型地下洞室群等大型岩体工程稳定评价及加固措施分析,需要在变形结构分析的基础上开展稳定与加固分析,而这是岩土数值分析方法的一个核心难点。在回顾总结变形稳定的特点和难点的基础上,给出了复杂多自由度变形结构体系失稳的严格定义及其集合逻辑表述,以及加固力数学的表述和实质,发展了基于塑性余能及其变分的变形结构稳定性判据,并以此为基础统一了基于结构势能二阶变分的稳定判据。完善了失稳结构的最小塑性余能原理,指出了失稳结构总体演化趋势,为新奥法施工原理、潘家铮最大最小原理奠定了严格理论基础。并将上述变形稳定理论应用于高坝坝基、高边坡、大型地下洞室群的稳定性评价。
Conventional rigid body limit equilibrium method is difficult to adapt to the stability evaluation and reinforcement measures of large rock mass dam foundation, high slope, large underground caverns and other large rock mass projects, and it is necessary to carry out stability and reinforcement analysis based on the analysis of deformation structure, which It is a key difficulty of numerical analysis of geotechnical engineering. Based on the review of the characteristics and difficulties of deformation stability, this paper gives a rigorous definition of the instability of complex multi-degree-of-freedom deformation system and its set of logic expressions, as well as the formulation and essence of the mathematical model of reinforcement force. The variational deformation stability criterion, and based on this, unified the stability criterion based on the second order variational of structural potential energy. The principle of the minimum plastic residual energy of the destabilized structure is improved, and the overall evolution trend of the destabilized structure is pointed out, laying a strict theoretical foundation for the construction principle of New Austrian law and the maximum and minimum principle of Pan Jiazheng. The deformation stability theory is applied to the stability evaluation of dam foundation, high slope and large underground caverns.