本文以改良Pagano方法探討一簡支承、功能性焦電彈材料雙曲率殼在溫度載重下的三維耦合行為。考慮四種不同的殼側向邊界條件，且功能性材料殼的材料性質沿著厚度方向視為非均質，且遵照指數律分佈。過往的Pagano法多用來分析多層疊合複合材料板/殼的應力行為，經過改良後可用來分析功能性焦-電-彈材料板/殼。此改良包括:以Reissner混合變分原理替代以位移為主變數之虛位移原理，將系統方程式的複數型解轉換成對應的實數型解、採用連續近似法與發展傳遞矩陣法使適用於功能性材料殼的熱傳導分析和焦電彈耦合分析。本文亦探討材料梯度指數的變異對耦合行為中各場量變數之影響。

A modified Pagano method is developed for the three-dimensional (3D) coupled analysis of simply-supported, doubly curved functionally graded (FG) piezo-thermo-elastic shells under the thermal loads. Four different surface conditions on the lateral surfaces of the shells are considered. The material properties of FG shells ard regarded as heterogeneous through the thickness coordinate, and then specified to obey an exponent-law dependence on this. The Pagano method conventionally used for the analysis of multilayered composite elastic plates/shells is modified to be feasible for the present analysis of FG piezo-thermo-elastic plates/shells. The modifications include that a displacement-based formulation is replaced by a mixed formulation, a set of the complex-valued solutions of the system equations is transferred to the corresponding set of real-valued solutions, a successive approximation (SA) method is adopted and introduced in the present analysis, and the method of propagator matrix is developed for the heat conduction analysis ans the coupled piezo-thermo-elastic analysis of the FG shells. The influence of the material-property gradient index on the field variables induced in the FG piezo-thermo-elastic shells and plates under the thermal load is
studied.

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