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夹芯板轴对称脱层分析的高阶模型
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.
作者姓名:富明慧  肖成锋
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
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.
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.

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年8月6日

A HIGH ORDER MODEL OF AXISYMMETRIC DELAMINATION ANALYSIS ON SANDWICH PLATES
Fu Minghui Xiao Chengfeng.A HIGH ORDER MODEL OF AXISYMMETRIC DELAMINATION ANALYSIS ON SANDWICH PLATES[J].Acta Mechnica Solida Sinica,2004,25(4):455-460.
Authors:Fu Minghui Xiao Chengfeng
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.
Keywords:sandwich plates  axisymmetric delamination  additional state  theory of high-order shear deformation
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