OOF: Finite Element Analysis of Microstructures
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Subsections
cubic
These are elements with cubic symmetry. According to figure
4.2 there are three independent entries in the
stiffness matrix. We pick those independent coefficients with a
somewhat standard convention for the cubic Young's modulus (),
Poisson's ratio () and the anisotropy factor (
) which makes the matrix form of
look like:
This is equivalent to the isotropic stiffness matrix when .
The two-dimensional stiffness matrix depends on whether planestrain is true or false.
Parameters
- young
- The cubic Young's modulus [stress].
- poisson
- The cubic Poisson's ratio [dimensionless].
- anisotropy
- The anisotropy factor, [dimensionless].
- alpha
- The coefficient of thermal expansion.
In cubic materials
; all
off-diagonal terms vanish. [inverse temperature]
- orientation
- The orientation of the crystalline axes. See Section 4.3. [degrees]
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