Abstract

This paper defines the steps of an adaptive procedure for controlling finite element analysis (FEA) model approximations to obtain predictions of the structures' external work of deformation with a prespecified number of digits of precision. The procedure includes five measures to ensure the validity of the curve fitting and the precision of modeling approximations. The illustrative example involves response of a rectangular membrane loaded by an in-plane bending line loading. The procedure leads to rejecting analysis results of the coarsest grid. Since the solution of the illustrative problem is bounded, the procedure can yield a convergent sequence of estimates of the work and provide values of the work when the grid interval is zero. Computer resources expended using the procedure are a maximum of twice those incurred in evaluating the external work for the smallest FEA grid interval used in curve fitting.

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