用于几何非线性分析的内参型非协调元法  

GEOMETRICALLY NONLINEAR ANALYSES FOR 2-D PROBLEMS BASED ON THE INCOMPATIBLE FINITE ELEMENTS WITH INTERNAL PARAMETERS

作　　者：吴长春[1] 焦兆平[2] 

机构地区：[1]中国科技大学,合肥230026 [2]合肥工业大学,合肥230009

出　　处：《力学学报》1993年第4期505-513,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家教委"优秀教师"基金;博士点基金

摘　　要：本文把内参型非协调元的理论和方法推广应用于几何非线性分析。对方法的合理性、可行性、单元收敛条件及实用简化方案等诸方面作了初步探讨。文章以大位移平面问题为例进行了详细讨论,给出了有限元非线性列式的全过程和数值结果。The approach of incompatible finite element with internal parameters is applied to geometrically nonlinear analysis in the paper. The rationality and feasibility for the approach, the convergence condition for incompatible models and simplified schemes are studied. The large displacement plane problem is discussed in detail. Entire nonlinear formulations of the finite elements and related numerical results are presented.

关 键 词：几何非线性 非协调元 分片检验 

分 类 号：O343.5[理学—固体力学]