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tangent stiffness

non linear analysis

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I am trying to learn non linear FEA ( Newton Raphson method)and this is what my understanding is. Kindly advise if you think my understanding is correct.

1) At the beginning of the analysis, I am using a small load step and using the current stiffess matrix ( which I am designating as initial tangent stiffness) I am solving for the initial displacement step for this load.

Here my question is: How this initial  tangent stiffness is calculated?

 The way I look at it:

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