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.
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
2004年第4期455-460,共6页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(19902022)
广东省自然科学基金(031552)资助.
