| 夹芯板轴对称脱层分析的高阶模型 |
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| 引用本文： | 富明慧, 肖成锋. 夹芯板轴对称脱层分析的高阶模型[J]. 固体力学学报, 2004, 25(4): 455-460. doi: 10.3969/j.issn.0254-7805.2004.04.016 |
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| 作者姓名： | 富明慧 肖成锋 |
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| 作者单位： | 中山大学应用力学与工程系,广州,510275; 中山大学应用力学与工程系,广州,510275 |
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| 基金项目： | 国家自然科学基金(19902022)，广东省自然科学基金(031552)资助. |
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| 摘 要： | 研究了夹芯板轴对称脱层问题的附加状态.利用n阶剪切变形理论和最小势能原理,建立了附加状态的微分方程,给出了相应的定解条件,并求出了附加状态的n次多项式解析解答.与采用实体单元的数值结果的比较表明,随着n的增加,模型的精度迅速提高.该文还研究了附加应力的分布规律及波及范围,并得出一些重要结论.
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| 关 键 词： | 夹芯板 轴对称脱层 附加状态 高阶剪切理论 |
| 修稿时间： | 2003-08-06 |
A HIGH ORDER MODEL OF AXISYMMETRIC DELAMINATION ANALYSIS ON SANDWICH PLATES |
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| A HIGH ORDER MODEL OF AXISYMMETRIC DELAMINATION ANALYSIS ON SANDWICH PLATES[J]. Chinese Journal of Solid Mechanics, 2004, 25(4): 455-460. doi: 10.3969/j.issn.0254-7805.2004.04.016 |
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| Authors: | Fu Minghui Xiao Chengfeng |
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| Abstract: | The additional state of axisymmetric delamination problem of sandwich plates is studied. Utilizing the theory of n order shear deformation theory and the least potential energy principle, the governing equations of this problem are established. Then n th order polynomial analytic solution of the additional state is presented. As compared with numerical solutions of solid elements, the accuracy of the model rapidly enhances as n th order of polynomial increases. Lastly, distributing rule and spreading domain of additional stresses are discussed and some important conclusions are obtained. |
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| Keywords: | sandwich plates axisymmetric delamination additional state theory of high-order shear deformation |
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