Command manual

Command list


Material properties
"Optional title"
mid, $\rho$, $E$, $\nu$

Parameter definition

mid Unique material identification number
$\rho$ Density
$E$ Young's modulus
$\nu$ Poisson's ratio
$E_f$ Fiber stiffness


This material model is used to model ropes or steel wires. The stress is defined as:

$\displaystyle{ \mathbf{\sigma} = K \mathrm{tr}(\mathbf{\epsilon}) \mathbf{I} + 2G \mathbf{\epsilon}_d + E_f \sum_{i=1}^3 \mathrm{max}(0, \epsilon_i) \mathbf{v}_i \otimes \mathbf{v_i} }$

where $\mathbf{\epsilon}$ is the total strain, $\mathbf{\epsilon}_d$ is the deviatoric strain tensor, $\epsilon_i$ is a principal strain and $\mathbf{v}_i$ is its corresponding eigenvector. Note that $K=E/(3(1-2\nu))$ and $G=E/(2(1+\nu))$.