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DNAD, a simple tool for automatic differentiation


I am writing to introduce DNAD, a Fortran module I wrote for automatic differentiation of analysis codes written in Fortran including those legacy codes written in Fortran 77. Although only implementation using Fortran 90/95 was carried out, it is straightward to translate it to a language you like such as c/c++.

Derivatives of the invariants of a tensor

When you first start learning finite deformation plasticity, you will run into a plastic flow rate $ \ensuremath{\boldsymbol{d}}_p$ that can be derived from a flow potential $ \phi$ such that 

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