An automatic procedure with a control of accuracy for finite element analysis in 2D elasticity

Abstract This paper gives a procedure for an automation of the entire finite element analysis for 2D or axisymmetric elastic structures with a control of accuracy. The user describes the problem and the level of desired accuracy. The procedure then provides an approximate solution for a minimal computation cost. This procedure uses an error measure based on the constitutive relation [1–5] and an efficient adaptive technique [6] which automatically take account of the regions of stress concentration. Examples are presented for discretizations using 3- or 6-node triangular elements.

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