A unified analysis for stress/strain hybrid methods of high performance

作者：Zhou, TX; Xie, XP^*

来源：Computer Methods in Applied Mechanics and Engineering, 2002, 191(41-42): 4619-4640.

DOI：10.1016/S0045-7825(02)00396-1

• FINITE-ELEMENT
• RATIONAL APPROACH
• FORMULATIONS
• ELASTICITY
• MODES

Several methods have been developed in the literatures of computational mechanics to improve the performance of the conventional lower-order displacement finite elements which yield poor results for problems with bending and for nearly incompressible medium. This paper is devoted to a unified analysis of convergence for Pian-Sumihara's, Chen-Cheung's and Piltner-Taylor's enhanced stress/strain schemes. By virtue of the energy compatibility and the rank condition, error estimates for these typical finite elements of high performance are obtained in a unified framework, and especially, weakly locking-free error estimates with respect to the Poisson's ratio v in energy norms are obtained uniformly for v less than or equal to (1 - Ch)/2 as h --> 0, where C is a constant independent of v and the mesh size h. Very much the same about the three methods is pointed out.

• 出版日期2002
• 单位四川大学