Example for usage of Periodic Boundary conditions - Disk subjected to centrifugal forces

Author: Aditya Ghantasala

Kratos version: Current Head

Source files: Disk subjected to centrifugal forces

Problem definition

To demonstrate the usage of periodic boundary conditions. The problem is a disk subjected to centrifugal forces. Only a quarter of the disk is modeled by specifying periodic boundary conditions on the two faces.

Centrifugal force on the disk[1]

The below figure visualizes the surfaces (in Green and Blue) set as periodic boundaries. A zero Dirichlet boundary condition is applied on the line at the center of the disk.

Visualization of Periodic boundaries [2]

Results

A simulation is performed with the above boundary conditions. The Displacement magnitude contour of the simulation is as follows.

Displacement contour[3]

To visualize the periodicity the simulation result (quarter of the disk) is rotated (copy) by 90 degrees on its axis.

Visualization of deformed (by displacement) geometry in different views