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Material Jacobian in UMAT
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Hello,
我想写一个isotr UMAT子例程opic NEO-HOOKE Material (compressible, hyperelastic). I‘ve found the paper „Writing User-Subroutines“ from the forum.
The paper gives me the fourth order tensor of the Material JacobianC(4) (DDSDDE) specified for a NEO-HOOKE Material with respect to the deviatoric left Cauchy Green tensorBdev. Now I‘m trying to understand how they derive the Material JacobianC(4):
- Is there a formular to deriveC(4) with respect to the deviatoric left Cauchy Green tensorBdev? (I only find formulas with respect to the right Cauchy Green tensorC)?
- Does anybody have the calculation ofC(4) with the steps of the calculation?
- What kind of Material Jacobian do they use (C(4)?C(4)iso?C(4)dev?...)?
- Why is the deformation gradientFsymmetric in the UMAT-Code?
I‘ve searched the whole ABAQUS Documentation and a lot of Literature (Holzapfel, ….) but can‘t find answers to my questions.
I hope anybody can help me.
Thanks
Christof
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Comments
Hyperelastic Material Jacobian in UMAT
Dear Christof
You can find the complete process of material Jacobian computation in the following paper:
"A FINITE ELEMENT IMPLEMENTATION OF KNOWLES STORED-ENERGY FUNCTION: THEORY, CODING AND APPLICATIONS"
You can easily google it and download it freely. Furtheremore, in case of anisotropic hyper elastic material you can use my recenty published paper. My paper link is :
http://www.sciencedirect.com/science/article/pii/S1751616115005032
Best regards.
Dear Afallah,
Dear Afallah,
thank you very much for your support. This paper helped a lot!
Regards
Christof
more on Neo-Hookean
Surf to
https://web.njit.edu/~sac3/Software.html
a website run by Prof. David Henann, Brown University,
and contact me privately to get a file
"A large deformation Neo–Hookean user material in ANSYS.pdf",
listing a code. I cannot find the button to upload it.
Good luck
Frank
Thanks a lot! The papers
Thanks a lot! The papers helped to solve my problems.
best regards