摘要
細胞型材料因具備質量輕、低熱傳導與高吸能等優點，已廣泛應用於輕質結構工程上。細胞型材料於土木結構上之應用首推三明治層版結構，其心材通常是由具變斷面微觀構件之蜂巢或泡沫材料所構成，且其力學行為將隨微觀構件幾何形狀不同而有所改變。本文利用偉布分析及線彈性破壞力學理論，首先研究具有變斷面微觀構件之蜂巢材料，於承受單軸載重作用下之力學行為，分別針對蜂巢材料中含巨觀裂紋與否及變斷面微觀構件中有無微裂紋存在，分析此類材料之破裂性質。結果發現不含巨觀裂紋之蜂巢材料於單軸載重作用下，存在一最佳形狀之微觀構件，以獲得最大之單軸強度，此外，存在於微觀構件中之微小裂紋，因大小、分佈及多寡不同，使得蜂巢材料之破裂模數並非定值。另外，利用有限元素套裝軟體ABAQUS建立具變斷面微觀構件蜂巢結構之分析模型，對含有巨觀裂紋之蜂巢材料進行數值分析，求得於不同相對密度及微觀構件幾何形狀條件下，蜂巢結構之破裂韌性及快速脆性破壞強度，且經分析與整理獲得最佳化微結構設計公式。最後，則考慮雙軸載重對蜂巢材料破壞之影響，建立具變斷面微觀構件脆性蜂巢材料之雙軸破壞包絡面。

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