2. Reference solution#

2.1. Locking procedure#

We take as a reference the solution given by the calculation code GEFDYN. This procedure has been validated on numerous industrial structures. The opening of the joint after claving is tested.

2.2. Sawing procedure#

As with sawing, we do not have a solution from an external code. The latter is then validated theoretically in the C and D models, which accept a \(\mathrm{1D}\) solution.

First, a homogeneous compression \({\delta }_{\mathit{impo}}\) is applied to the left side of the pad. The load is almost \(\mathrm{1D}\) and we therefore have the equivalent of stresses in the joint and in the pad, which allows us to estimate the value of the applied stress \(\sigma\):

\({\delta }_{\mathit{plot}}+{\delta }_{\mathit{joint}}={\delta }_{\mathit{impo}}\)

\(\sigma 2L/E+\sigma /\text{pena\_contact}/{K}_{N}={\delta }_{\mathit{impo}}\)

This results in:

\(\sigma ={\delta }_{\mathit{impo}}/(\frac{1}{2LE}+\frac{1}{\text{pena\_contact}{K}_{N}})\)

Once the constraint is known, we can apply the law of behavior in order to find the opening of the joint: \({\delta }_{\mathit{joint}}=\sigma /\text{pena\_contact}/{K}_{N}\).

In case of sawing the value of \({\delta }_{\mathit{impo}}\) is reduced by the thickness of the saw, which parametrizes the sawing.

These \(\sigma \text{et}{\delta }_{\mathit{joint}}\) values are then tested in the C and D models.