15. M modeling#
15.1. Characteristics of modeling#
Flexion-shear coupling in the plane.
Figure 15.1-a: mesh
Modeling: DKTG. \(L=1.0m\).
Boundary conditions (see figure below):
Figure 15.1-b: Boundary conditions
we impose an embedding in \({A}_{1}\), and:
\({u}_{x}={D}_{0}\cdot y,{u}_{y}=0\) on edge \({A}_{1}-{A}_{3}\), \({u}_{x}=0,{u}_{y}={D}_{0}\cdot x\) and \(\mathrm{DRY}=0.0\) on edge \({A}_{1}-{A}_{2}\)
\({u}_{x}={D}_{0}\cdot y,{u}_{y}={D}_{0}\cdot L\) and DRY = \({R}_{0}\) × \(f(t)\) on edge \({A}_{2}-{A}_{4}\), \({u}_{x}={D}_{0}\cdot L,{u}_{y}={D}_{0}\cdot x\) on edge \({A}_{3}-{A}_{4}\),
where \({D}_{0}=3.3{10}^{-3}\cdot f(t)\), \({R}_{0}=3.0{10}^{-2}\), and \(f(t)\) represent the magnitude of cyclic loading as a function of the (pseudo-time) parameter \(t\), defined as:
15.2. Characteristics of the mesh#
Number of knots: 121.
Number of stitches: 200 TRIA3; 40 SEG2.
15.3. Tested sizes and results#
The results obtained by modeling GLRC_DM are evaluated by non-regression tests at various times:
Identification |
Reference type |
Reference values |
tolerance |
|
At t=1,0 |
||||
Movement \(\mathrm{DX}\) in \(\mathrm{A2}\) |
|
0 |
1 10-6 |
|
Move \(\mathrm{DZ}\) en \(\mathrm{A2}\) |
|
-0.0150132720825 |
1 10-4 |
|
Effort \({N}_{\mathrm{yy}}\) in \(\mathrm{A2}\) |
|
336025.268865 |
1 10-4 |
|
Damage variable \(\mathrm{d1}\) in \(\mathrm{A1}\) |
|
56.9559592676 |
1 10-4 |
|
Damage variable \(\mathrm{d2}\) in \(\mathrm{A1}\) |
|
59.5462291219 |
1 10-4 |
|
To \(t=\mathrm{2,8}\) |
||||
Movement \(\mathrm{DX}\) in \(\mathrm{A4}\) |
|
-0.00264 |
1 10-4 |
|
Movement \(\mathrm{DZ}\) en \(\mathrm{A4}\) |
|
0.010135582881 |
1 10-4 |
|
Effort \({N}_{\mathrm{yy}}\) in \(\mathrm{A4}\) |
|
-268829.505848 |
1 10-4 |
|
Damage variable \(\mathrm{d1}\) in \(\mathit{A1}\) |
|
56.9559592676 |
1 10-4 |
|
Damage variable \(\mathit{d2}\) in \(\mathit{A1}\) |
|
59.5462291219 |
1 10-4 |
|
To \(t=\mathrm{3,0}\) |
||||
Damage variable \(\mathit{d1}\) in \(\mathit{A1}\) |
|
59.4924066054 |
1 10-4 |
|
Damage variable \(\mathit{d2}\) in \(\mathit{A1}\) |
|
59.5462291219 |
1 10-4 |
Comparative diagrams multilayer model-modell **** GLRC_DM - model**** DHRC **of the shear force bending moment:math:`{N}_{mathit{xy}}`**as a function of the distortion: **
Comparative diagrams multi-layer model GLRC_DM - model- model** DHRC of the bending moment \({M}_{\mathit{yy}}\) as a function of rotation:
