Re: Computing the linear elastic strain energy

[Konstantinos Poulios]

Dear Anne-Cecile

The elastic strain energy density (is a scalar) at each node is easy to calculate. However, I have to ask you what you need this quantity for. Your reference suggests calculating this quantity on nodes which is probably not the best solution. If you calculate the strain energy density at a node between different elements, you get different results depending on which element you are evaluating the common node from. Then some averaging is required to get a value somewhere between all neighboring elements. Normally we evaluate strain energy densities at integration points. If you tell us what you need this result for I can maybe help with a better solution.

Best regards

K.

On Mon, Jan 24, 2022 at 9:09 PM Lesage,Anne Cecile J <AJLesage@mdanderson.org> wrote:

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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