Abstract

Quasi-conforming analysis is an important and characteristic finite element method. The formula-tion of quasi-conforming element is simple and flexible, which unifies the conforming and non-conforming finite element method. In quasi-conforming formulation, the equilibrium equations as well as strain-displacement equations are weakened and the importance of basis functions of finite element space is emphasized. The convergence of quasi-conforming elements is guarded by the control of discrete precision of displacements and strains. The Taylor expansion test can also be used for direct analysis of convergence. Many excellent quasi-conforming elements have been constructed and applied widely in engineering analysis, which is the reflection of the value of quasi-conforming finite element method. The formulation process, theory and the important ele-ments of quasi-conforming are summarized in this paper. Finally prospective developments of quasi-conforming are suggested. The research on quasi-conforming is an original and fundamental work, which contributes to the development of computational mechanics.

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