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problem about the Jacobian matrix (DDSDDE) in UMAT

Hi all friends,

I have a question. Why the Jacobian matrix (DDSDDE) in UMAT is defined as:

∂Δσ/∂Δε

rather than:

 ∂σ/∂ε

And can anybody tell me what's the difference between them?

 

Thank you all for your help,

Tianhao Yan

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