• 作者： 任明華; 許哲銘; 高永三
• 作者服務機構： 國立中山大學機械工程學系
• 中文摘要： 本文藉Savin所發展的含圓孔異向平板之平面應力解推演出鑽孔之複材積層板承受均佈拉伸應力所造成之層間應力。基於Lekhnitskii應力勢、異向彈性體理論及邊界層效應，選擇適當的應力型態以滿足零階平衡方程式、界面應力連續性及邊界條件，在應力表示式中的未知參數則可由應力積分平衡條件求得，其主要優點可由求取層間應力之過程中同時獲得邊界層應力奇異性所突顯出來。中央鑽孔十字疊複材積層板將作為探討之例証，雖然我們的解析是以通式表示之，但是仍然比其他方法簡單且所需工作量少許多，同時本方法亦可應用於基木之設計上。
• 英文摘要： A plane stress solution for an anisotropic plate with a circular hole developed by Savin is extendedto derive interlaminar stresses in a notched composite laminate under uniform tension. Based uponLekhnitskii's stress potentials, theory of anisotropic elastic body and boundary layer effect, stress shapesare chosen such that the zeroth order equilibrium equations, interface continuity and boundary conditionsare satisfied. The unknown parameters in the stress expressions are then determined by the requirement ofstress integral equilibrium. The merit is highlighted by obtaining the order of boundary layerstress singularity simultaneously. A cross-ply composite laminate with a centrally circular hole is analyzedas an example. Although our solution is in a general form, the work rcquired is much less than for othermethods. Also, the present method can be adopted for use in preliminary design stages.
• 中文關鍵字： interlaminar stresses; composite materials; anisotropy; boundary layer effect; order of singularity; airy stress function
• 英文關鍵字： --