Dear,(adsbygoogle = window.adsbygoogle || []).push({});

I have a task to model the behaviour of certain interphase material. Let's say that functions which describe the change of material parameters are known.

i.g. change of the Young's modulus as function of distance from neighbouring material (or (0,0) origin) - PAR=PAR(x)

Furthermore, based on geometry (nodal coordinates) it is easy to estimate a deformation gradient f(3,3) at any point.

I am trying to obtain the stresses by integrating at Guass points which coordinates are also known.

Taking into consideration that Sigma=Youngsmodulus * Epsilon,

standard and time-wasting procedure would be something like: - find coordinates of Gauss points - read E value at that specific point - multiply by deformation gradient

Can I skip this just by using common sense approach? If F-deformation gradient is function of Gauss point coordinate, does that mean that I can find the function which describes F-E relation instead of already known x-E relation!?

*(In this way, I can directly get the value of E just by knowing F at that point)

Thank you

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Deformation gradient f(3,3) vs Coordinates

Loading...

Similar Threads for Deformation gradient Coordinates |
---|

Dirac-delta function in spherical polar coordinates |

I Q about finding area with double/volume with triple integral |

**Physics Forums | Science Articles, Homework Help, Discussion**