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Newton Raphson for FEM

Hi,

I am currently working on a FEM  2d plane strain elastic model in matlab. The next step would be to use a non linear constiutive law (Mohr-Coulomb). As far as I have been reading non linearities, are solved with iteration schemes. My question is how to compute the tangent matrix with the N.Raphson method? I have seen only case for polynomials, but not for matrices.

Regards!

Anna

shreeram111's picture

Hi,

              I know the question is a bit old. I assume you have found the way out. In any case, to get the tangent tensor (1st derivative of the matrix), you would have to compute the 4th order tensor. Be clear with the tensor calculus before coding. I suggest you to check for some in-line matlab functions as well.

Regards

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