2012-08-012024-05-18https://scholars.lib.ntu.edu.tw/handle/123456789/714170摘要：力學的研究發展在近年來一個重要趨勢為考量電子產業微奈米元件製程中所呈現非均質(功能梯度)材料特性，並急需解決在使用過程中引發元件失效的可靠度相關問題，則需針對功能梯度材料的動態、穩定性及強韌性作深入分析探討，這個研究方向具有學術性也是一個具有挑戰性的研究課題。 本國際合作研究計畫（台俄雙邊共同合作研究計畫）主要特點為雙方以不同角度切入及應用理論探討功能梯度材料的幾個基本及重要問題，在本計畫中亦將開發新的非接觸且高精度的實驗量測技術，此實驗方法可用來量測巨觀及微觀尺度的元件承受外力與熱負載的全場位移及應變分佈，並與本研究計畫中的相關理論解析結果作相互的比較與分析。 本國際合作計畫主要針對功能梯度材料動態、穩定性及強韌性的相關問題，擬定了六個重要的研究課題，並分別由雙方負責執行。 1. 分析異向性材料的表面及體內之挫屈問題（俄國團隊）。 2. 應用幾何非線性連續體力學探討異向性薄殼元件穩定性相關問題（俄國團隊）。 3. 分析具有缺陷之功能梯度材料的強韌性問題（俄國團隊）。 4. 建構功能梯度材料承受外力及熱負載的數學分析方法並進行理論全場解析（台灣團隊）。 5. 探討應力波在多層域的均質與功能梯度材料之暫態波傳問題（台灣團隊）。 6. 建立巨觀結構及微系統元件的全場位移及應變之非接觸光學實驗量測技術（台灣團隊）。 <br> Abstract: In recent years, there appears a growing interest to the problems of the functionally graded materials and producing the periodic structures on the surface in connection with the development of nano-technologies in the electronics industry. All these problems are directly connected to the mechanical problems of dynamics, stability and robustness of materials with spatially varying properties. The present project is aimed at multi-purposed analysis of numerous mechanical aspects of these materials. Both theoretical and experimental studies will be carried out. Theoretical studies will be focused on several directions. First, mechanical explanation and substantiation of the surface and volumetric buckling of elastic anisotropic solids will be provided. These forms of buckling lead to appearance of chess-board surface structures which are known to have promising applications in microelectronics. Second, a theoretical analysis and construction of mechanical models of broad class of thin-walled structures will be performed in the framework of the geometrically nonlinear continuum mechanics. The objective is to obtain the reduced two-dimensional models for anisotropic plates and shells which are appropriate for modeling thin layers of a few molecular layers and their contact. Numerical simulations are foreseen to prove the theoretical conclusions. Third, the robustness of functionally graded materials will be proved by introducing material’s imperfections and considering functionally graded medium with random elastic and mass characteristics. A number of correlation functions of imperfections will be taken for detailed analysis and main attention will be paid to deviation of the resulting properties from the prescribed ones. Numerical simulations are expected to confirm the theoretical results. Fourth, a general method for solution of the elasticity and thermo-elasticity problems of functionally graded materials in terms of stresses will be developed. The key feature of this approach is integration of equilibrium equations to express all the stress tensor components in terms of the one selected as governing function; as well as to deduce the integral equilibrium conditions for the solution construction and analysis. The problems for radially inhomogeneous materials with rather general ranges of properties will be analyzed. Fifth, an effective analytical method base on the Laplace transform technique for constructing solutions of the transient wave propagation in multilayered media for both the homogeneous and functionally graded materials will be constructed. Numerical inversion of the Laplace transform will be used and the long-time transient responses in time domain for complicated multilayered structures will be presented. Finally, a novel experimental testing method for quantitative evaluation the mechanical behavior of a device both in macro and micro scales will be developed. We are able to perform the detailed measurement on the full-field distribution of displacement and strain with the high resolution speckle technique. The experimental techniques established in this project will be used to perform the experimental measurements and compared with the theoretical computations provided in the first to fifth directions.功能梯度材料動態穩定性波傳強韌性非均質熱負載多層域數位光斑functionally graded materialsdynamicsstabilitywavesrobustnessnonhomogeneousthermal loadingsmultilayer mediumdigital speckle.