類蜂巢結構具有輕量化、良好隔熱隔音及高勁度強度等優點，使其於營建工程、航空工程與材料科學等領域中深具應用。根據蜂巢材料力學理論模型，類蜂巢結構於理想無限域受一均勻壓應力作用時，藉由力平衡，分析蜂巢材料中微觀桿件之力學行為，進而推導得知最大彎矩作用於微觀桿件兩端點，彎矩反曲點則位於此微觀桿件中心處。由於類蜂巢三維結構具有微結構幾何重複對稱性，故若能將此類蜂巢結構中彎矩為零的位置作為切割點，然後選用3D列印方式製作類蜂巢三維結構最小重複單元，藉由適當設計接頭方式連接各最小重複單元，如此不斷重複接頭連接即可建立類蜂巢三維結構。由蜂巢材料力學分析結果可知，最小重複單元的微觀結構與幾何形狀將影響類蜂巢三維結構的力學性質，因此本研究將使用數值分析軟體ABAQUS，針對不同微結構幾何形狀與相對密度最小重複單元組構成之類蜂巢三維結構，當此類蜂巢三維結構承受一均勻壓應力作用時，數值分析其力學行為與理想無限域蜂巢材料之差異性，以及對類蜂巢三維結構降伏強度之影響與關係式為何。另外，雖可選用公母接頭連接最小重複單元，以建立類蜂巢三維結構，但由於接頭處發生應力集中效應，導致在接頭處易發生斷裂的現象，因此，本研究選用不同接頭方式，進一步數值分析其接頭處之應力分佈情形，針對新接頭方式之數值分析結果，建立此種接頭與最小重複單元微結構幾何形狀之關係式。最後，利用微結構幾何形狀與類蜂巢三維結構降伏強度以及接頭受力行為之關係，理論預估其他已知相對密度及微結構幾何形狀的類蜂巢三維結構之降伏強度，以及最小重複單元接頭處之應力分佈。

Honeycomb-like structures are widely used in construction, aerospace, and materials engineering due to their lightweight, excellent insulation, and high strength. According to honeycomb material theory, when subjected to uniform compressive stress in an infinite domain, the maximum bending moment occurs at both ends of microscopic members, with the inflection point at the center. Based on the structure’s geometric symmetry, cutting at points of zero moment allows fabrication of the minimum repeating unit via 3D printing. By connecting these units with proper joints, a full 3D honeycomb-like structure can be assembled. The microstructural configuration and geometry of the minimum repeating unit significantly affect the mechanical properties of honeycomb-like 3D structures. This study uses ABAQUS to simulate structures with varying unit geometries and relative densities under uniform compressive stress, comparing them with ideal infinite-domain models and identifying relationships between geometry and yield strength.To address stress concentration issues at traditional male-female joints, alternative joint designs are analyzed. The study examines stress distribution at the joints and establishes relationships between joint behavior and unit geometry. These findings are used to predict the yield strength and joint failure conditions of other honeycomb-like structures with known geometric parameters.

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