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# Spectral decomposition

Dear all,

Many numerical implementation of plasticity model uses spectral decomposition to represent the Cauchy stress, elastic strain, such that stress update algorithm is written in the principal directions. As a result, I wonder what makes it benefical to write the stress update algorithm in spectral form?

Thanks,

WaiChing Sun

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## Comments

## Relation to the small strain theory

If you do it this way there are many nice algorithmic things that happen. One that many people like is that at some level the algorithm looks a lot like the one that appears in the small strain theory.

Prof. Dr. Sanjay Govindjee

University of California, Berkeley