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Re: [Getfem-users] Curvilinear structures in Getfem


From: Yves Renard
Subject: Re: [Getfem-users] Curvilinear structures in Getfem
Date: Fri, 17 Nov 2017 20:52:41 +0100 (CET)

Dear Jean-François,

There is no specific tool yet for that.
You can have access to the tangent with 'element_K' in the generic assembly 
language (the unit tangent is then 'Normalized(element_K)')
If you define a scalar quantity "u" on your 1D structure, then "Grad_u" will be 
the gradient of the quantity in the sense that it is a tangent vector whose 
norm is the derivative of the qunatity along the curve. So that 
"Grad_u.Grad_Test_u" is still the stiffness term for a curvilinear second 
derivative. For a vector quantity "u", "Grad_u" is the componentwise gradient.

Best regard,

Yves.



----- Original Message -----
From: "Jean-François Barthélémy" <address@hidden>
To: address@hidden
Sent: Friday, November 17, 2017 6:17:13 PM
Subject: [Getfem-users] Curvilinear structures in Getfem

Dear Getfem users,

I wonder whether it is possible to model simple linear elastic curvilinear
structures submitted to traction, bending, torsion etc... in 2D or 3D in
Getfem. I haven't found a way to have access to the tangential or normal
parts of vectors in the local basis of a beam and their derivatives with
respect to the curvilinear abscissa needed to build the formulation. Does
someone have an answer please?

Thanks in advance

Best regards
Jean-François



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