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Please guide me on which points Gauss quadrature is applied

Please guide me on which points Gauss quadrature is applied

Please guide me on which points Gauss quadrature is applied

(OP)
Hello:

I am doing non linear fea anaylsis and I wirte my own codes instead of using any software. I am kind of lost in numerically integrating a 1D problem.
I want to know that out of the following parameters how many parameters we evaluate at the quadrature points and how many at the nodes.
Shape functions N
Jacobian J
Mass matrix M
Internal force Fint.

Please help me out on this.

Thank you
COmp mech

RE: Please guide me on which points Gauss quadrature is applied

Hi,
You might find this answered better in textbooks eg Huebner & Thornton, or just Googling for lecture notes that go through the detail.

On the other hand, it's simpler just to evaluate everything at Gauss points for consistency. Some smarter codes I think evaluate M and Fint at the nodes...

Might be worth checking some code in a few free-source solvers to see what they do. What sort of non-linearity are you handling: material, contact etc?

It's been a LONG time since I wrote my own code - good luck!
MToft

RE: Please guide me on which points Gauss quadrature is applied

(OP)
Hi MToft:

Thanks a lot for your suggestions, I went through some text books and figured out different cases. Currently I am dealing with material non linearity.

CompMech

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