Re: Re: Total Lagrangian Formulation

>From an implementors point of view:

As Transpose(BNL) S BNL dV value will be integrated
over the whole domain by means of say "Gaussian
Quadrature" you should travel over the whole set of
"Gauss Points" to take out the regarding 2nd Piola
Kirchoff stresses...

 


> 
> 
> You have to compute the S stress tensor yourself !
> How ? Mhhh, by 
> getting Sigma(Cauchy) that you have to compute
> also...
> It's quite hard to build a true total lagrangian
> approach because the 
> Cauchy stress tensor is integrated in the
> corotationnal frame, where 
> the behavior is supposed to be known.
> Personaly, i would try to express the incremental
> lagrangian 
> behaviour in the corotationnal frame, that means
> getting the right 
> Cijkl from the known ones, compute the incremental
> Sigma(Cauchy) then 
> compute the incremental S.
> 
> But it sounds quite strange because the formulation
> can be frame-
> dependent (issue is opened !)...
> 
> BenZ.
> 
> 
> --- In ABAQUS@xxxxxxxxxxxxxxx, Sandy
> <getsudhir@xxxx> wrote:
> > 
> > Hi,
> > 
> > I'm trying to incorporate total lagrangian
> formulation
> > in my 20 noded brick element. I got a small doubt
> > while formulating it.
> > 
> > the non linear part of stiffness matrix is given
> by:
> > 
> > B (NL) transpose * S * B (NL)
> > 
> > S is the second Piola Kirchoff Stress Matrix.
> > 
> > Now components of S is evaluated at each Gauss
> Point.
> > Which value should I take while evaluating the non
> > linear stiffness matrix?
> > 
> > Please let me know if someone has done similar
> kind of
> > work before..
> > 
> > Thanks,
> > Sandy
> > 
> > =====
> > They say When everything's coming your way, you're
> in the wrong 
> lane and going the wrong way.
> > 
> > 
> >             
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> 
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