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Elasticity Matrix for polycarbonate and Aluminum

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Hello all,

I wonder would someone be able to shed light on something for me.

The anisotropic elasticity is defined as a 6x6 matrix:
{D11, D21, D31, D41, D51, D61, D12, D21, D22, D23 ... and so on up to D66} .
But Comsol allows only 21 coefficients in the elasticity matrix.

How can I put elasticity matrix in 21 coefficients?
The other question about the elasticity matrix of polycarbonate. What is the elasticity matrix of polycarbonate?

Thanks for reading, hopefully someone can help.

Mina

8 Replies Last Post 2016年9月14日 GMT-4 14:23
Jeff Hiller COMSOL Employee

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Posted: 8 years ago 2016年9月13日 GMT-4 21:15
Hi Mina,
That 6x6 matrix is symmetric, so it only has 21 independent coefficients: D12=D21, etc...
Jeff
Hi Mina, That 6x6 matrix is symmetric, so it only has 21 independent coefficients: D12=D21, etc... Jeff

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Posted: 8 years ago 2016年9月14日 GMT-4 09:32
Dear Jeff

Thank you so much for your reply.

I have three coeficient : c11: 10.62; C22: 6.13; C44:2.85

How should I put in Comsol parameters?

Thanks a lot and best regards
Mina
Dear Jeff Thank you so much for your reply. I have three coeficient : c11: 10.62; C22: 6.13; C44:2.85 How should I put in Comsol parameters? Thanks a lot and best regards Mina

Jeff Hiller COMSOL Employee

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Posted: 8 years ago 2016年9月14日 GMT-4 12:02
That does not look right. You cannot have zeros on the diagonal, the problem would be singular.
Please contact COMSOL support if you need further assistance.
Best regards,
Jeff
That does not look right. You cannot have zeros on the diagonal, the problem would be singular. Please contact COMSOL support if you need further assistance. Best regards, Jeff

Edgar J. Kaiser Certified Consultant

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Posted: 8 years ago 2016年9月14日 GMT-4 12:44
Mina,

are you sure you have c22 and not c12?

for materials with cubic symmetry c11, c12 and c44 are sufficient. Look there: solidmechanics.org/text/Chapter3_2/Chapter3_2.htm

in chapter 3.2.16

If possible use Firefox, the page gets scrambled in IE.
Cheers
Edgar

--
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Mina, are you sure you have c22 and not c12? for materials with cubic symmetry c11, c12 and c44 are sufficient. Look there: http://solidmechanics.org/text/Chapter3_2/Chapter3_2.htm in chapter 3.2.16 If possible use Firefox, the page gets scrambled in IE. Cheers Edgar -- Edgar J. Kaiser emPhys Physical Technology http://www.emphys.com

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Posted: 8 years ago 2016年9月14日 GMT-4 12:54
Dear Dr. Edgar J. Kaiser

Thank you so much for your help and reply.

Best Regards
Mina
Dear Dr. Edgar J. Kaiser Thank you so much for your help and reply. Best Regards Mina

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Posted: 8 years ago 2016年9月14日 GMT-4 12:55
Dear Jeff

Thank you so much for your help and reply.
Best Regards
Mina
Dear Jeff Thank you so much for your help and reply. Best Regards Mina

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Posted: 8 years ago 2016年9月14日 GMT-4 13:13
Dear Edgar J. Kaiser

Polycarbonate is istropic material or anistropic?

Best Reagrds
Mina
Dear Edgar J. Kaiser Polycarbonate is istropic material or anistropic? Best Reagrds Mina

Edgar J. Kaiser Certified Consultant

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Posted: 8 years ago 2016年9月14日 GMT-4 14:23
Mina,

my best guess is that in most practical cases the pure polymer can be considered mechanically isotropic. Of course things change radically as soon as you consider a composite or you look at microscopic particles when the partial crystallinity of the material shows up.

As frequently, it depends on your specific case ...

Cheers
Edgar

--
Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Mina, my best guess is that in most practical cases the pure polymer can be considered mechanically isotropic. Of course things change radically as soon as you consider a composite or you look at microscopic particles when the partial crystallinity of the material shows up. As frequently, it depends on your specific case ... Cheers Edgar -- Edgar J. Kaiser emPhys Physical Technology http://www.emphys.com

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