Analysing 2 Material Cylinder w/ Internal Pressure 100 Units

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Discussion Overview

The discussion revolves around the analysis of a two-material cylinder subjected to an internal pressure of 100 units. Participants explore the discrepancies in radial stress measurements at the inner radius compared to the applied internal pressure, as well as the implications of mesh properties in computational modeling.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant reports that the radial stress at the inner radius is 98.23 units, which deviates from the expected internal pressure of 100 units by 2 to 3 percent.
  • Another participant inquires about the completion of a mesh convergence study to assess the stability of results with varying mesh densities.
  • A participant confirms that while the solution converges with increased mesh density, overly dense meshes lead to stress values exceeding the applied pressure, such as reaching 101 units.
  • There are questions regarding the use of elements with midside nodes, suggesting that mesh density and discontinuities may affect the results.
  • A participant confirms the use of midsize nodes in their mesh configuration.

Areas of Agreement / Disagreement

Participants express differing views on the impact of mesh density on the results, with some suggesting it may lead to inaccuracies, while others confirm convergence under certain conditions. The discussion remains unresolved regarding the exact cause of the discrepancies in radial stress measurements.

Contextual Notes

Limitations include potential dependencies on mesh properties and the specific definitions of stress and pressure within the modeling framework. The discussion does not resolve the mathematical steps leading to the observed discrepancies.

Shawndude
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I am trying to analyse a two material cylinder glued together .The cylinder is subjected to internal pressure of 100 units. The problem i am facing is that the radial stress at the inner radius (where the internal pressure is applied) is not equal to the internal pressure.I.E. if the internal pressure is 100 units ,the radial stress at the inner radius is 98.23. It generally deviates by 2 to 3 percent.I am attaching a contour plot of the radial stress.
I have used the following properties;
young's modulus E1=1e5...E2=2e5
Poisson's ratio is 0.3 for both materials
Mesh properties: smart size no:1(fine)
free mesh
plane 182 has been used. It is a cylinder with zero height hence area has been defined.Only quarter cylinder is analysed and symmetric boundary condition has been implemented.
To find radial stress, rsys,1 command has been used
 

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Have you run a mesh convergence study, where you increase the mesh density and see if the results change?
 
Mech_Engineer said:
Have you run a mesh convergence study, where you increase the mesh density and see if the results change?
I have and the solution does converge but if the mes h is too dense then it crosses the value and keeps on increasing just like in this case where the pressure applied is 100 but stress is 101
 
Are you using elements with midside nodes? It seems that your mesh results show that the difference is due to mesh density/discontinuity.
 
Mech_Engineer said:
Are you using elements with midside nodes? It seems that your mesh results show that the difference is due to mesh density/discontinuity.
I am using mid size nodes.
 

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