Required field
Required field
Required field

# Validation Case: Hollow Cylinder in Plane Strain Condition

This plane strain condition validation case belongs to solid mechanics. The aim of this test case is to validate the following parameters:

• Distributed pressure
• Symmetry boundary condition
• Nodal displacement
• Strains and Nodal stresses

The simulation results from SimScale were compared to the analytical results presented in [SSLV04]$$^1$$.

## Geometry

The geometry used for the case is as follows:

The 3D geometry is a 45$$^0$$ section of a hollow cylinder with dimensions as tabulated below:

## Analysis Type and Mesh

Tool Type: Code Aster

Analysis Type: Static linear

Mesh and Element Types: The meshes used in case (A) and (B) were created using the standard mesher on the SimScale platform, while the meshes used in case (C) and (D) were created in an external platform and then imported to the SimScale workbench.

## Simulation Setup

Material:

• Steel (linear elastic)
• $$E$$ = 200 $$GPa$$, $$v$$ = 0.3

Boundary Conditions:

• Constraints
• Face EFE’F’ zero normal-displacement
• Face ABA’B’ zero y-displacement
• Face ABEF and face A’B’E’F’ zero z-displacements fixed
• The pressure of 60 $$MPa$$ on Face AEA’E’

## Reference Solution

The analytical solution is given by the equations presented under Reference Solution$$^1$$.

## Result Comparison

The results obtained from SimScale for displacements, stresses, and strains at point A are compared with those presented in [SSLV04].

Find figure 4 below for the total strain $$\epsilon_{yy}$$ distributed across the cylinder:

Last updated: July 20th, 2020