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題名 | 有限元素之三維腰椎模型分析及收斂性探討=Analysis and Converge Study of Three Dimensional Finite Element Lumber Spine Model |
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作者 | 陳守義; 張志涵; 林峻立; 林千玉; | 書刊名 | 中華醫學工程學刊 |
卷期 | 18:2 1998.06[民87.06] |
頁次 | 頁107-114 |
分類號 | 416.61 |
關鍵詞 | 收斂性分析; 有限元素模型; 腰椎; Converge study; Finite element model; Lumbar spine; |
語文 | 中文(Chinese) |
中文摘要 | 本研究嘗試建立一腰椎有限元素之產生流程,以期快速且準確地建立三維有限元 素分析網格,此腰椎三維有限元素模型在幾何外形及材料特性上能更真實表現個別人體脊椎 特性。 腰椎三維網格模型先由電腦斷層掃描 (computer tomography) 以獲得病人腰椎 (L3~L4) 之影像資料及斷面輪廓,再利用三維網格建立程式重建出一腰椎三維有限元素模型 。從 CT 影像可準確地抓出脊椎複雜的幾何外形,並透過 CT 值與材料性質的關係決定材料 特性,故此模型能精確呈現出脊椎複雜的幾何外形及非均質的材料特性。於研究中利用此三 維腰椎網格模型進行基本力學的分析及其收斂性的探討以驗證網格模型的可信度,結果顯示 在受壓力時其主應力大小與走向和腰椎骨質分佈與骨小樑走向大致吻合,可驗證出 Wolff's Law 所預測骨骼之結構。同時在材料數目收斂上,疏鬆骨部分只要使用八種以上材料數目就 可以獲得 99% 以上的收斂,另外使用低階四面體四節點元素與高階十節點元素相比較, 發 現使用高階元素模型與使用低階元素模型之等效應力分佈與數值相當接近,由此可顯示使用 本研究網格產生流程進行分析可達到收斂結果。 |
英文摘要 | The objective of this study is to establish a three dimensional finite element model whose geometry and material property can more accurately represent the human lumbar spine. Serial transverse slices of a patient's lumbar spine(L3- L4) were obtained from a computerized tomography (CT) system. The geometric boundaries of the spine were detected from these CT images with a self-developed image processing system, these boundaries were then transferred to an automatic mesh program to generate the three dimensional spine mesh. The material properties of each element were obtained directly from the CT numbers. This finite element model could express the variation in material properties and the complicated geometry of the spine. To validate the mechanical response of this model, axial compression loading were applied on the superior surface of L3. The principal stresses under this static loading were found to have the same trend as those of the bone density distribution and trabecular bone orientation which were constructed with the Wolff's Law predication. From the analysis, the number of material types should be greater than eight in order to achieve a better convergence, and this model has the better approximate geometry and mechanical property behavior. From the convergence study of this model, it showed that under this simple loading eight kinds of material distributiion of cancellous bone could achieve a 99% of strain energy convergent rate. The 3.5 mm element size employed in this model also achieve a good convergent results while comparing the stress distribution and strain energy with low order and high order elements. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。