2. Benchmark solution#

2.1. Calculation method used for the reference solution#

We consider a portion of an infinite plate with a circular central hole, subjected to unidirectional unit loading in the \(\mathit{Ox}\sigma \mathrm{=}1{e}_{x}\mathrm{\otimes }{e}_{x}\) direction.

The analytical solution to this problem is [bib1]:

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where:

  • \(a\) is the radius of the hole,

  • \((r,\theta )\) the polar coordinates.

2.2. Uncertainty about the solution#

Analytical solution.

2.3. Bibliographical references#

  1. Zhu-Zienkiewicz: The superconvergent patch recovery and a posteriori error estimates- Part1: the recovery technique (Int. J. for Num. Methods in Engineering vol. 33, p. 1355 (May 1992)).