I am working on a combined contact, bending, and torsion problem. I have data on geometrical points and their instantaneous stress components. However, based on the available data, I have to interpolate the stress values at points where the stress values are not available, i.e., I would like to interpolate the stress values at points where the stresses are not calculated by the computational model. Any inputs on the interpolation functions are highly appreciated.
I did try interpolation function and scattered data function available in MATLAB. I am getting an error as the points are not monotonically increasing and the points are not under a convex hull. I did use
mldivide in MATLAB to obtain the fit based on the available data. However the accuracy of the interpolated stress is a question. I am still contemplating whether the use of Airy's stress equation and Prandtl stress equation will be appropriate to this condition. Any inputs on interpolation functions or directions on how to arrive at interpolation function will be highly appreciated.
The mesh is made up of mid noded quadrilateral element. It is 8 noded higher order element. As I mentioned earlier the computational model calculates only instantaneous stress values based on which point is in contact. For other nodes which are not in contact/or will be in contact in future there is no stress value. The idea is to obtain realistic stress histories of all the contact points.