Simcenter 3D Solutions Strain energy - average vs un-averaged nodal values

2020-08-28T22:47:24Z
Simcenter 3D

Summary


Details

When post processing strain energy, NX allows you to display averaged or 

un-averaged results. If I want to calculate total strain energy, which value 

should I use?

Solution

To calculate total strain energy, you would want to use the un-avaraged strain 

energy results. Using averaged strain energy makes no sense in this case. This 

is easy to prove using a simple test model and comparing the NX results to the 

hand calculation. Take the simple case of a prismatic bar measuring 1 x 1 x 

36" clamped at one end and loaded axially with 1000 lbf. Assuming a Young's 

modulus of 2.9E7, we get the following for total strain energy:

U = ((F^2)(l))/((2)(A)(E)) = (1000 lbf)^2(36 in)/((2)(1 in)^2(2.9E)) = 0.62 

lbf-in

Solving this model in NX and summing the strain energy we get the following:

Unaveraged = 0.0620 lbf-in 

Averaged = 0.905 lbf-in 

This clearly shows that the un-averaged result is correct. 

To avoid this confusion it is probably best to post process the elemental 

strain energy result set instead of the element-nodal results. This will 

provide a single total strain energy value for each element, avoiding 

the averaging issue entirely.

Notes

KB Article ID# PL8010660

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Associated Components

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