A general formulation of equilibrium macro-elements with control of spurious kinematic modes: The exorcism of an old curse. (English) Zbl 0878.73070

Summary: This paper illustrates a method whereby a family of robust equilibrium elements can be formulated in a general manner. The effects of spurious kinematic modes, present to some extent in all primitive equilibrium elements, are eliminated by judicious assembly into macro-equilibrium elements. These macro-elements are formulated with sufficient generality so as to retain the polynomial degree of the stress field as a variable. Such a family of macro-elements is a new development, and results for polynomials of degree greater than two have not been seen before. The quality of results for macro-equilibrium elements with varying degrees of polynomial is demonstrated by numerical examples.


74S05 Finite element methods applied to problems in solid mechanics
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