岩土本质性参数演绎的数值模型

Numerical model for deduction of inherent parameters of geomaterial

以至今为真的物理定律、数学及力学原理,做为逻辑性演绎的骨架。同时将土壤抽象为理想散体粒子,在粒间以摩擦力为主的相变时空中,以假说为真的前提,一个粒子群只有一个可代表摩擦力的本质性参数—正常压密态的动摩擦角kφ。此种散体粒子间的成对剪应力向量,皆是由粒间依时的主应力与粒间动摩擦角衍生。散体抽象为理想粒子与二个前提为真的假说。以逻辑的演绎,得到本文的结论及数值模型。演绎法的特点:若前提为真,则结论必为真,反之亦然。台湾中联工程顾问股份有限公司于近5年中将此数值模型与传统分析合并,运用台北市正常压密态(NC)沉积地层的各种分析,经过实际工程案例比对,得到结论:调查出各地层本质性参数值,便可依数值模型分析,得到可靠、具实用性的预测值。

The laws of physics and the principle of mathematics and mechanics are used as the bases for logic deduction of a numerical model for the shear parameters. They all have been proved true. In addition, soil particles are attributed to ideal particulate materials. They are within a physical phase transition space-time whose inter-particle stress fields are governed by friction. With such premise, the deduction leads to the fact that there is only one inherent parameter – normally consolidated kinetic friction angle(kφ) which represents the friction variations within a group of particulate materials. Such coupled shear stress vectors between particulate particles are all derived from time-dependent inter-particle principal stress and kφ. The feature of logic deduction has proved that if the premises are true, then the conclusions will also be true, and vice versa. In the recent 5 years, CUC has used the above numerical model to analyze the normally consolidated Taipei sedimentary deposits. It has been proved that once the inherent parameter for each layer is explored, the proper shear behavior for that particular soil can be predicted. The results are in good agreement with those anticipated by other geotechnical professionals.