Principal Stress Trajectories

by Matt Schmid

Aug 11, 2010

Hello Everyone,

I've been looking into deriving lines of principal stress on curved surfaces and have come across some really interesting stuff but I'm hoping to spark a discussion that might create a clearer picture of the processes involved. So far I've come accross:

- and Christina Doumpioti's thesis on The Adaptive Growth of Fibre Composite Structures

From these sources I gather one must:??

- use a finite element analysis program to determine the magnitude and directions of the principal stresses at all the mesh vertices
- then bring that data into grasshopper
- write a script that generates a vector field from the FEA data and interpolates a series of evenly distributed curves that follows the principal stress vectors

Would this be the most sensible way to go about this? I just want to make sure I have decent course of action laid out as my scripting/solid mechanics knowledge is rather limited so it's going to be quite the undertaking...lol

Any comments or reference suggestions would be greatly appreciated. Thanks kindly in advance for any and all help.

All the best, 

Matt
Load Previous Replies
  • up

    sivam krish

    I too have been searching for ways of doing this, for teaching. I get stundents to draw principle stress lines. Found some papers in japanbese on how to do it, but none in english.
    4

    Oct 4, 2010

    Load Previous Replies
    • up

      dani bas

      i am following this theme with absolut atention.

       

      i am working on my diplon project (architecture) and i am designing a voronoi 2.5D based structure and want to control the density and position of vertice points throught FEA.

      Dec 12, 2010

      • up

        Daniel Hambleton

        I haven't updated the plugin in some time, but the SPM Vector Components was designed to do exactly this kind of thing...

        We tried to incorporate interpolation between data points, different integrators, direction switching (if you're only interested in finding streamlines for both the principal stress directions), orbit finding, etc...

        Not sure if it even works in the new GH versions...! If there is interested, I'd be happy to update it.

        EDIT: just reread your post - the SPM components only deal with the vector field integration, you'd have to get the principal stresses in to Rhino first (via GeometryGym or Millepede or something).

        Apr 23, 2013