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 \(\sigma\):
\({\delta }_{\mathit{plot}}+{\delta }_{\mathit{joint}}={\delta }_{\mathit{impo}}\) |
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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.