在工程領域中經常看到具有兩種或多種不同材料性質組合成的複合材料，而在其接合界面上的位移和應力是不連續的，通常會引入不完美界面條件(imperfect interface conditions)來描述位移和應力間的關係。
本文中研究的對象是建立無夾層三維複材模型，並透過引入類彈簧(spring-like)界面條件來模擬出與有夾層模型相似的位移和牽引力數值結果。在本文中，類彈簧界面條件(spring-like condition)由Wang Zhanjiang , Yu Hao , Wang Qian【1】等人提出，將此模擬方法與具有夾層界面的模型進行比較，並且得到相似的數值結果，本研究將其應用於三維異向性彈性體複材之界面問題，透過修改配對條件的FORTRAN程式計算出來的結果與ANSYS分析的結果進行誤差值比對。

In the field of engineering, composite materials consisting of two or more different material properties combined together are frequently encountered. At the interfaces of these materials, displacements and stresses are often discontinuous, typically necessitating the introduction of imperfect interface conditions to describe the relationship between displacement and stress.

The subject of this study involves the development of a three-dimensional composite material model without interlayers. It aims to simulate displacement and traction force numerical results similar to those of models with interlayers by introducing spring-like interface conditions. In this paper, the spring-like condition, proposed by Wang Zhanjiang, Yu Hao, Wang Qian, and others [1], is employed. This simulation method is compared to models with interlayer interfaces, yielding similar numerical results. The research applies this approach to interface problems in three-dimensional anisotropic elastic composite materials. Error comparisons between results obtained through modified FORTRAN program with matching conditions and results analyzed using ANSYS are also conducted.

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