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热/机械载荷下功能梯度材料矩形厚板的弯曲行为

BENDING OF FUNCTIONALLY GRADED SHEAR-DEFORMABLE RECTANGULAR PLATES UNDER THERMO- MECHANICAL LOADS

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【作者】 杨杰沈惠申

【Author】 Yang Jie 1,2 Shen Huishen1 (1 School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai, 200030) (2 Department of Mechanical Engineering, Wuhan Institute of Chemical Technology, Wuhan ,430073)

【机构】 上海交通大学建筑工程与力学学院上海交通大学建筑工程与力学学院 上海200030武汉化工学院机械工程系武汉430073上海

【摘要】 采用Reddy高阶剪切板理论 ,考虑材料物性参数随坐标和温度变化的特性 ,研究在均匀变化的温度场内功能梯度材料矩形板在面内与横向载荷共同作用下的横向弯曲问题 ,基于一维DQ法和Galerkin技术 ,给出了一对边固支、另对边任意约束时板弯曲问题的半解析解 .以Si3N4/SUS30 4板为例考察了材料组份、温度场、面内载荷及边界约束条件等对功能梯度材料板弯曲行为的影响 .

【Abstract】 Based on Reddy’s higher-order shear deformation plate theory, this paper investigates the bending of FGM rectangular plates subjected to uniform temperature change, initial inplane stresses and lateral loads. Material properties are assumed to be both temperature and position dependent. A semi-analytical approach is then developed for FGM plates with two opposite sides clamped and the others being either free, simply supported or clamped. Numerical results are presented for Si 3N 4/SUS304 plates, showing that the bending behavior of FGM plates are significantly influenced by material composition, temperature change, initial inplane loads, transverse shear deformation, and boundary conditions.$$$$