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thermal expansion vector in 2D
Posted Mar 5, 2010, 3:31 a.m. EST 2 Replies
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Hello,
which four components does the thermal expansion vector alpha in 2D-axial-symmetry for an anisotropic material have? (Coordinate system: r,z,phi)
I just found the 3D expression: ?vec = ?x ?y ?z 2?xy 2?yz 2?xz
Thanks,
C.Mannal
which four components does the thermal expansion vector alpha in 2D-axial-symmetry for an anisotropic material have? (Coordinate system: r,z,phi)
I just found the 3D expression: ?vec = ?x ?y ?z 2?xy 2?yz 2?xz
Thanks,
C.Mannal
2 Replies Last Post Mar 5, 2010, 9:29 a.m. EST
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Posted:
1 decade ago
Hi
could you pls retype the formula with a standard font and some translation for the greek letters, as for me :
?vec = ?x ?y ?z 2?xy 2?yz 2?xz
is not really understandable ;)
But if it is the sigma "sr, sz. sphi srz, and Ent" you are looking after, the easist is to type in to the Elasticity tensor and the Thermal expansion tensro not numericalvalues but something like: D11 D12 D13 D22 D23 D33 D44 respectively T11 T21 T31 T41 and then look at the Model tree under "Equations Systems - Subdomain Settings - Variables ... (or the Physics - Equation System - Subdomain Settings - Variables) and study the formulas therein
Good luck
Ivar
could you pls retype the formula with a standard font and some translation for the greek letters, as for me :
?vec = ?x ?y ?z 2?xy 2?yz 2?xz
is not really understandable ;)
But if it is the sigma "sr, sz. sphi srz, and Ent" you are looking after, the easist is to type in to the Elasticity tensor and the Thermal expansion tensro not numericalvalues but something like: D11 D12 D13 D22 D23 D33 D44 respectively T11 T21 T31 T41 and then look at the Model tree under "Equations Systems - Subdomain Settings - Variables ... (or the Physics - Equation System - Subdomain Settings - Variables) and study the formulas therein
Good luck
Ivar
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Posted:
1 decade ago
I am sorry for the misspelling.
It is:
alpha_vec = alpha_x alpha_y alpha_z 2*alpha_xy 2*alpha_yz 2*alpha_xz
in 3D.
alpha is the thermal expansion.
Now I have a axial symmetric 2D coordinate system with r, z and phi.
The alpha vector is then given by 4 fields to fill in the subdomain section when anisotropic is chosen.
Which alpha (directions) are those four?
Thank you for your help!
Best regards.
It is:
alpha_vec = alpha_x alpha_y alpha_z 2*alpha_xy 2*alpha_yz 2*alpha_xz
in 3D.
alpha is the thermal expansion.
Now I have a axial symmetric 2D coordinate system with r, z and phi.
The alpha vector is then given by 4 fields to fill in the subdomain section when anisotropic is chosen.
Which alpha (directions) are those four?
Thank you for your help!
Best regards.