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Plate Problem

A plate with a punched square hole is clamped at all of its boundaries.

plate

The displacement u(x,y), caused by the transversal gravitational force, is the solution of the boundary value problem.

pde

The homogeneous boundary conditions are modeled with the R-function method. The resulting weight function, which is proportinal to the squared distance function, is shown below.

weight function

Displacement (considerably magnified).

displacement

Stress distribution: the following picture shows the von Mises stress

von Mises stress

von Mises stress distribution

Literature

K. Höllig: Finite Element Methods with B-Splines. Frontiers in Applied Mathematics 26, SIAM, 2003.

See Publications for a complete list of WEB-publications.

Author: Anja Streit ; Last modification: 2003/10/13 17:34:19 UTC.


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