隨著科技與奈米製程的進步，當物體尺度越縮越小時，其表面積對體積之比率將會增大，此時界面/表面應力的效應對整體結構力學行為之影響將不可忽略。本文將在古典力學的架構下，基於Kirchhoff-Love的應變假設模擬出高階界面應力效應，並探討界面的軟硬程度將界面應力條件分類。另外以能量法與變分理論，推導出球形內含物複合材料系統在不同變形模式下的高階界面應力關係式。最後於古典Stoney formula之理論下，在薄膜/基板系統中模擬高階界面應力效應，並重新檢視與推導出修正公式。

When the size of solids or structures is in the nanometer scale, the effect of surface/interface stresses on the overall mechanical behavior cannot be ignored. Based on the kinematic deformation of Kirchhoff-Love assumption for the interphase between two neighboring media, we have modeled the high-order interface stresses effects in three-dimensional Cartesian coordinate system. Depending on the difference in stiffness and length scales of the interphase, it is shown that the interface conditions can be classified into several different types. Additionally, by using variation approach, high-order interface conditions were derived for composite with spherical inclusions under different deformation modes. To illustrate the high-order effect of interface stress in the thin film/substrate system, we also refine the Stoney formula and provide a modified formulation.

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