本文之研究目的在於分析結構物受撞擊而產生變形與破壞之行為，探討改進物體開裂後內部碰撞接觸之模擬方法，並配合適當的破壞準則，以顯性時間積分法分析物體受撞擊破壞前後之力學行為，於有限元素法的計算過程中建立適應性方法以改進網格，提升程式的計算效能，以獲得兼具合理性與經濟性的分析結果：其次，根據高效能電腦向量計算與平行計算之特性撰寫程式，模擬混凝土撞擊穿透等工程問題。在本文的研究結果中顯示，適應性網格流程可用較少的節點與元素個數獲得更合理的分析結果；且以顯示時間積分求解的斷裂式有限元素分析，配合負載平衡的觀念，非常適合應用於高效能電腦之加速運算。 A numerical scheme based on the two-dimensional adaptive mesh generation technigue, incorporated with fragmental algorithm for finite element analysis, is proposed in this research for study of the behavior of fractured structure. Due to the solution technique accompanied with explicit time integration, it is not necessary to solve the nonlinear problems with any of the iterative procedures. The characteristics of the algorithm and the associated data structure constructed with explicit integration method is proved to well suit for use with h-r type adaptive grid generation technique. Also,we describe a general strategy we have found effective for both vectorization and parallelizing fragmentation simulations. Such simulations often have several computationally intensive parts, including finite element integration, detection of material contacts, and inter-element collision. Our strategy is to load-balance each of the signifcant computations independently with whatever balancing technique is most appropriate. The proposed algorithm based on vectorization and parallelizing should have useful applications in both the assessment of damage and the design of repair for fractured engineering structures.
