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Quick start - strains from displacements in triangular mesh

Samarth Raut's picture


  I need suggestions/advice regarding quick starting point for getting strains (Green-Lagrangian) from displacement vector field defined over nodes of a triangular mesh ?

I understand that this is a well established theory, however, I was wondering if I can avoid reinventing the wheel !

Can someone help  me regarding which would be the fastest way to get there ( compute strains )? 


From displacement vector you can obtain deformation gradient, using which you can obtain virtually any type of strain including Green-Lagrangian strain.

Samarth Raut's picture

Thanks Nimish.

I was not sure how much reliable  will Grad operator be for a field defined over a membrane. I was expecting that it will be very sensitive for gradient operation when evaluation involved two data point whose one coordinate is almost same. e.g. say if two triangle are almost in Z plane then when evaluating du_xi/dz, where u_x is any component of displacement vector defined at node and z is its coordinate, denomenator being close to zero results will be very fluctuation compared to neighborhood

I attempted to used Grad operator but no agreement was found between the output (Deformation gradient) and strains/deformation gradient obtained from simulations using commercial post-processing code for a test case. I am sure that both displacement fields and triangulations is exactly same. These displacement vectors were input Grad operator.



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