Defines the material properties for orthotropic behavior in terms of engineering
constants.
Format
Figure 1.
Example
Figure 2.
Comments
Orthotropic materials have three mutually perpendicular planes of
symmetry in their material properties. The stress-strain relation for
orthotropic linear elastic materials can be written as
follows.
Where the compliance matrix
is given by,Figure 3. The compliance matrix is symmetric and must be positive definite (real
numbers for every non-zero value). This implies, from Sylvester’s criterion,
that all the principal minors of the matrix are positive.Figure 4. Then,Figure 5. The above set of conditions implies that,Figure 6.
If the above conditions are not satisfied, an error occurs.Figure 7.
The thermal expansion coefficient (along X, Y, Z) and thermal
properties are given if required for thermal simulations.