18. P modeling#
Validation of joint \(\mathrm{2D}\) in quadratic with the JOINT_MECA_FROT law
18.1. Characteristics of modeling#
Modeling in plane deformations D_ PLAN for the elastic element.
Plane modeling for the joint element (keyword PLAN_JOINT).
18.2. Characteristics of the mesh#
Number of knots: 13
The elastic element is a QUAD8.
The joint element is a degenerate QUAD8 (knots combined).
18.3. Tested sizes and results#
Mode I
The joint is opened up to its tensile strength threshold [8] _ . \(U\mathrm{=}{U}_{\mathit{el}}\) Then we take advantage to get to \(U\mathrm{=}2{U}_{\mathit{el}}\). It passes into compression zone \(U\mathrm{=}\mathrm{-}{U}_{\mathit{el}}\mathrm{/}3\). Finally, the joint is recharged up to its equilibrium point \(U\mathrm{=}0\). We test the global response (the resultant of the nodal force, FN) of the system (joint and cube) in the local coordinate system. The reference values are obtained analytically (see page 6).
Fashion \(\mathit{II}\)
The joint is solicited by sliding in \(\mathit{II}\) mode. We then test the value of the \(c\) membership. Then we change the normal aperture to \(I\) mode and we slide back and forth in \(\mathit{II}\) mode for \({U}_{t}\mathrm{=}\mathrm{\pm }{U}_{\mathit{el}}\mathrm{/}3\).
Size tested |
Reference |
Tolerance ( \(\text{\%}\) ) |
fashion \(I\) |
||
FN, peak value |
\({\sigma }_{\mathrm{max}}\) is 2.D05 |
0.10 |
FN, no change in peak value |
\({\sigma }_{\mathrm{max}}\) is 2.D05 |
0.10 |
FN, compression value |
\({\sigma }_{\mathit{max}}\mathrm{/}3\) is -6.66666667D04 |
0.10 |
FN, value at the equilibrium point |
0.0 |
0.10 |
fashion \(\mathrm{II}\) |
||
FT, membership value |
\(C\) is 1.D05 |
0.10 |
FT, sliding value and membership |
\(\mathrm{-}{K}_{N}{U}_{t}\mu \mathrm{-}c\) is -1.2445666D+06 |
0.10 |
FT, sliding value and membership |
\({K}_{N}{U}_{t}\mu \mathrm{-}c\) is 1.244647D+06 |
0.10 |