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Numerical Integraton of Strain, Kinetic and Damping Energy

Numerical Integraton of Strain, Kinetic and Damping Energy

Numerical Integraton of Strain, Kinetic and Damping Energy

(OP)
Hi to all,
I'm using a non-commercial C++ code for FEM analysis and I have a question about the calculation of Strain, Kinetic and Damping Energy.
All are quadratic forms and if i integrate over all the area/volume I can found a value for all the body of for the single element beacuse the quadratic form give me a scalar (for every element and i can sum all this contributions and obtain a global value) or I'm wrong?
Despite this, I'm interested in the calculation of the nodal values of this energies for made some contour plots. My question is: is possible to calculate this nodal quantities or have no sense? If yes how I can made the numerical integration? I don't understand the numerical integration of this quadratic forms.

For example i think that for strain density energy but for other? My doubts are purely numerical integration.
Con anyone help me?


PS: sorry for my bad english.
Thanks in Advance

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