Reissner-Mindlin板模型的关于板厚一致收敛逼近方法  

Approximating Methods for Reissner Mindlin Plates with the Convergence Rate Independent of the Thickness

作　　者：段火元[1] 

机构地区：[1]中国地质大学

出　　处：《应用力学学报》1999年第2期17-26,共10页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金

摘　　要：针对Ｒｅｉｓｓｎｅｒ－Ｍｉｎｄｌｉｎ夹支板模型，给出了两个关于板厚一致收敛的稳定混合有限元逼近格式：其一，局部特征值摄动法；其二，残差ｂｕｂｂｌｅ－函数法。In this note, we present two stabilized approximating schemes for the Reissner Mindelin plate with the convergence rate independent of the thickness by using mixed finite elements. The first method lies in the introducing the perturbation of the local eigenvalue in the mixed Ritz variational formulations, and the other one employing the residual bubbles.

关 键 词：夹支板 特征值摄动 一致收敛 R-M板模型 

分 类 号：O343[理学—固体力学]