Hi, I'm trying to work out how much strain potential I can produce in a cylinder but I want to know how much is stored for any specific part of the cylinder. The problem then is this:(adsbygoogle = window.adsbygoogle || []).push({});

I have a cylinder of original dimensions r and h, where h is the original height and r is the radius. It is fixed on the surface f the earth and its z axis is along the axis of the cylinder hanging down into a hole in the earth. Upon stretching along its axis only I have an h' = h + a for the stretched cylinder which will produce an r(z,a) deformation of the radius, that is, a non-constant one along its length but dependent upon the z coordinate of the cross-section and the displacement a of the free cylinder end.

I know this is something to do with the Poisson Ratio, but that suggests radial contraction is uniform which it simply could not be. I know that I can just find the total strain energy of the cylinder if I have r(z,a) by a solid of revolution method but I'm at a loss as to what type of function could describe the varying radius. Any help would be much appreciated, I'm trying to teach myself nonlinear elasticity and it's quite hard!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Radial contraction of a stretched hyperelastic cylinder

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Radial contraction stretched | Date |
---|---|

Hoop + radial + axial = multi axial stress? | Oct 7, 2015 |

Radial stress in pressure vessels | Aug 27, 2013 |

How to calculate needed horsepower for radial travel | Apr 10, 2013 |

Radial pressrue given lateral strain | Aug 4, 2011 |

Sudden Pipe Contractions Article | Jun 27, 2007 |

**Physics Forums - The Fusion of Science and Community**