| 曹志远,程国华.功能梯度材料板件三维分析的半解析梯度有限元法[J].计算力学学报,2007,24(6):865~868 |
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| 功能梯度材料板件三维分析的半解析梯度有限元法 |
| Semi-analytical gradient finite element method for 3D analyses of functionally graded material plates |
| 投稿时间：2005-11-28 修订日期：2007-03-13 |
| DOI：10.7511/jslx20076167 |
| 中文关键词: 功能梯度材料,三维分析,半解析有限元,梯度有限元 |
| 英文关键词:functionally graded material,three-dimensional analysis,semi-analytical finite element method,gradient finite element method |
| 基金项目:国家自然科学基金(10432030)资助项目 |
| 曹志远 程国华 |
| 同济大学航空航天与力学学院计算力学与数值仿真研究所 上海200092 |
| 摘要点击次数: 1685 |
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| 中文摘要: |
| 将半解析有限元与梯度有限元相结合,形成一种半解析梯度有限元来求解功能梯度材料板件问题。该方法兼有有限元法的适应性强、程序统一,半解析有限元法的节省单元与计算工作量,梯度有限元法的适应构件内部材料性能任意梯度分布等特点,并实现用一维数值计算给出构件三维分析结果。算例分析表明了方法的精度、功能与上述特点,充分揭示了功能梯度材料板件力学响应的三维形态。半解析梯度有限元法可推广应用到其他功能梯度材料面结构的各类分析中。 |
| 英文摘要: |
| To combine semi-analytical finite element method with gradient finite element method formed a kind of semi-analytical gradient finite element method for solving the problems of functionally graded material plates.The method has the advantages: both strong adaptability,unified program of finite element method and saving element and calculation of semi-analytical finite element method and adapting to any gradient distribution of gradient finite element method,and realizes the purpose of using 1-D numerical calculation and giving 3-D analysis results.The calculating examples indicated the accuracy,function and the features above expressed,and fully revealed the 3-D distribution of mechanical responses of functionally graded material plates.Semi-analytical gradient finite element method can be extended to various analyses of other functionally graded material face structures. |
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