分形几何在岩土力学研究中的过去、现在与未来

Fractal Geometry in the Past,Present and Future Research of Rock and Soil Mechanics

首先简略地介绍了分形几何理论及其方法。从岩土材料结构的定量描述、流体在岩土体中的渗流问题、岩土材料强度的分形模型和分形空间的力学特征四个方面叙述了分形理论在岩土力学研究中取得的成果及应用。指出只有将岩土力学系统在欧氏空间的各种基本变量、原理和方法向分形空间推广和拓展,才能产生对岩土材料非线性力学行为的新认识,这也是分形理论在岩土力学研究中进一步深化的基础。

Brief introduction on fractal theory and its methods are firstly presented.The applications and achievements of fractal theory on rock and soil mechanics are detailedly specified,from four facets： quantitative analysis on geotechnical material structure,liquid flowing in geotechnical materials,fractal models for geotechnical material strength evaluation and mechanics characteristics in fractal space,respectively.The conclusion is drawn that only fundamental variables,principles and methods used in geotechnical mechanics conventionally are extended and generalized from Euclidean space to the fractal space,new understandings on nonlinear mechanics behaviors of geotechnical materials can be brought about,and it is also the base to further and wider application of fractal theory in geotechnical mechanics study.