Reduced integration

[giezu]

How the stresses are recovered to nodes from reduced integration?
Element quad4, one gauss point in the center of element.

 

[Dave442]

They're extrapolated according to the element shape function and then averaged to give a single value.

The same procedure is used for fully-integrated elements

 

[giezu]

Dave442 I agree for the stress recovery for 4 Gauss point.
But I can not imagine inter/extrapolation from one Gauss point.
Is is not that the stresses at nodes of element are the same as stress at one/centre Gauss point?

 

[Dave442]

For an element with one integration point the stresses at the nodes and integration points are the same.

These elements are sometimes called constant stress/strain elements.

Nodal values may still get averaged to produce a single value though.

 

[giezu]

Thank you