Analytical Solution Plate with hole under tension - GCMLab/GCMLab-FEM GitHub Wiki

This test case is taken from the OpenFOAM stress analysis tutorial: https://www.openfoam.com/documentation/tutorial-guide/tutorialse9.php

Geometry

Material properties

Parameter Value
Young's Modulus 200 GPa
Poisson's ratio 0.3

Plane stress conditions applied

Symmetry conditions are applied so that only the top right quadrant is modeled.

Applied loads

A uniform traction of 10 kPa is applied to the right edge.

Boundary conditions

Symmetry conditions are applied to the right and bottom edges.

Solution

The normal stress along the vertical line of symmetry is given by

Note that the resulting stress distribution is independent of the mechanical properties of the model.

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