How to find values between nodes in finite element
How to find values between nodes in finite element
(OP)
in the finite elements (CAE) there are a lot of way for achieving values between nodes but is it true that all equation for achieving values between nodes, indeed find the equation of a line or a plane that cross the nodes and if we give a position to that equation we could get the values?
so for triangular element if we could find a plane that cross the three nodes, we could achieve values between nodes.
if so what happened for 3D element?
so for triangular element if we could find a plane that cross the three nodes, we could achieve values between nodes.
if so what happened for 3D element?





RE: How to find values between nodes in finite element
the next best is to interpolate with the data you have. with 3 co-ordinates you can solve three equations (simply) ... ie pick three nodes and their stress, and solve the three equations for the stress at the chosen point. you can do this several times with different points and average, or you can solve the over-defined problem (using many points so you have more equations than unknowns).
another day in paradise, or is paradise one day closer ?
RE: How to find values between nodes in finite element
The heartiest solution is the static condensation, 'aka guyan technique'
RE: How to find values between nodes in finite element
Unless I am missing something, your subdivided meshes are not "compatible" (as you have subdivided nodes on the finer subdivided elements which are not connected to any corresponding nodes on the adjoining un-subdivided element), and this will be yielding spurious results. This accounts for the irregular stress contour plots - you should be able to generate nice smooth / regular contour plots if you use compatible graded meshes. (In effect, you have modelled slits in your plate along the subdivided edges, with stress concentrations at the nodes where they reconnect.)
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RE: How to find values between nodes in finite element
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RE: How to find values between nodes in finite element
another day in paradise, or is paradise one day closer ?
RE: How to find values between nodes in finite element