三維橢球堆積程式可模擬相當多的物質，如礦石、粉末、道渣、藥粒、電銲鉛粒……等等。然而許多的模擬情形皆會與變形體接觸，而且常需要從中得知橢球顆粒與可變形體的位移與受力情形。因此為使三維橢球堆積程式能適合工程界使用需要，本論文將三維橢球堆積程式加入了向量式有限元素當作可變形體，並利用Auto CAD與Tecplot軟體，展現出顆粒與變形體在空間的分布情況、內部組構、內外力變化……等，並從中探討三維顆粒介質體與變形體的互制行為。
本論文運用改良後之程式，進行一系列的分析與測試，並將改良後的程式運用於樁受側向力試驗之模擬分析。由模擬試驗過程中，可以探討一些實驗不易施作與量测的部分。並證實三維橢球加入向量式有限元素法之程式，可使用於土壤與結構互制行為的研究上。

ELLIPSE3D can simulate lots of material, such as mineral, powder, ballast, dusting powder, lead particles,...ect . However, in plenty of situation, the simulation is related to the plasmodium. And the displacement, the situation of accepting forces of the plasmodium are needed to be known in most cases. For that reason, to make the using of the ELLIPSE3D can meet the needs of engineering environment around, in this thesis, the vector form intrinsic finite element are figured as plasmodium to be linked with the ELLIPSE3D. Also make use of Auto CAD & Teeplot to display the distribution, internal composition & both internal & external physical strength variation of the particles & plasmodium in the space, and discuss correlative between 3 dimensions discrete element and plasmodium.
The simulate analysis of the pile accept lateral loading by using the improved formulas are condueted in this thesis. In the process of simulating, those parts that couldn’t be operated or measured easily by experiment may be covered. For example: (1).Modifying the elastic coefficient of the pile can simulate the long-pile’s or short-pile’s variation.(2).The soil reaction curve of the pile side in accepting forces can be measured directly.

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