# Elastic Joint Model In 3DEC

The Elastic model provides a linear representation of joint stiffness (normal and shear). There is no yield - and elastic joint is infinitely strong.

Formulations

The Elastic joint model in 3DEC calculates the incremental normal and shear stresses on a joint from normal and shear displacements multiplied by normal and shear stiffnesses as follows:

(1)\[\begin{split}\Delta \sigma_n = k_n \Delta u_n
\\
\Delta \sigma_s = k_s \Delta u_s\end{split}\]

- where \(\Delta \sigma_n\) and \(\Delta \sigma_s\) are the change in normal and shear stress,
- \(\k_n\) and \(k_s\) are the normal and shear stiffnesses (in units of STRESS/LENGTH), and
- \(\Delta u_n\) and \(\Delta u_s\) are the incremental normal and shear displacements.

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