Computing the linear elastic strain energy

[Lesage,Anne Cecile J]

Dear all

 

I need to output tat the end of my poroelastic simulation the linear elastic strain energy matrix at each node of my mesh

See attached formula

What is an optimal way to compute it from the displacement u?

Epsilon i = 0.5 (grad u + grad ut) right?

And S here is the stress-strain law for isotropic materials?

 

Thank you

Anne-Cecile

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linear_elastic_strain_energy.png
Description: linear_elastic_strain_energy.png