不連續變形分析法於大地工程之應用

Applications of Discontinuous Deformation Analysis Method in Geotechnical Engineering

林志森(T. Chih-Sen Lin)

《地工技術》 69期 (1998/10) Pp. 71-80

https://doi.org/10.30140/SG.199810.0008

摘要

不連續變形分析法（Discontinuous Deformation Analysis，DDA）是1980年代新發展出來的一種數值分析方法，數理基礎與有限元素法相近，建立於全勢能法（Total Potential Energy）之上，然而元素間的變形是不連續（可分離、變形、移動與轉動）的解析模式。筆者從事於DDA在岩石力學上的應用與發展已有多年，深切體會到將DDA應用於大地工程之力學分析上之潛力，尤其在具大變形與變位之數值模擬上。在本篇文章將介紹DDA的發展淵源、基本的數理背景以及在比較特殊的落石與邊坡穩定問題分析上的應用。

關鍵字

不連續變形分析法 ； 全勢能法 ； 大地工程

並列摘要

The numerical method of Discontinuous Deformation Analysis (DDA) was newly developed in 1980s. The mathematical principles are based upon the total potential energy which is similar to the Finite Element Method (FEM). However, DDA is capable of calculating discontinuous displacements (including separation, deformation, translation, and rotation) between elements. The author has been working on the applications and development of the DDA method for many years. It is believed that the method has a great potential in geotechnical engineering analysis, especially in the numerical simulation with large displacements and translations. This paper introduces DDA, the basic mathematical principles, and presents applications in the analysis of rockfalls and slope stability problems.

並列關鍵字

Discontinuous Deformation Analysis ； Total Potential Energy ； Geotechnical Engineering