The Girkmann Challenge Problem
Abstract: The model problem described herein was first discussed by Girkmann, subsequently by Timoshenko and Woinowski-Krieger. Solutions by classical methods are presented in both references. Numerical solution of this problem is presented. We propose this problem as a benchmark for evaluating verification procedures that an experienced user of a finite element analysis software product would apply in professional practice to verify that the computed information is sufficiently accurate.
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“The p-type element has been used to great advantage in the finite element system ESRD StressCheck®, . This software provides the engineer with the means to conduct solution verification in an extremely straightforward manner by simply increasing the degree of the element, monitoring convergence and using Richardson extrapolation reliably to estimate the error. This can be conducted automatically by the software thereby enabling the engineer to concentrate on the engineering rather than the simulation. StressCheck® has also been used to develop ESRD’s Handbook and Toolbox applications. The first of these provides engineers with a repository of parameterised standard problems of the type found in texts like Roark’s “Formulas for Stress and Strain”, . The second, Toolbox, is a tool that can be used to parameterise a company’s range of components for rapid and reliable analysis by non-expert analysis. Toolbox then is an exemplary of the way in which the democratisation of simulation can be applied.”
Angus Ramsay, PhDEngineering Director, Ramsay Maunder Associates