9. G modeling#
9.1. Characteristics of modeling#
Pure shear in plane damaging elastoplastic behavior (GLRC_DM + Von Mises).
Figure 9.1-a: mesh
Modeling: DKTG. \(L=1.0m\).
Boundary conditions (see figure below):
Figure 9.1-b: boundary conditions
we impose an embedding in \({A}_{1}\),
\({u}_{x}={D}_{0}\cdot y,{u}_{y}=0\) 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 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 \({D}_{0}=1.1{10}^{-4}\cdot f(t)\), and \(f(t)\) represent the amplitude of the cyclic loading as a function of the (pseudo-time) parameter \(t\), defined as (integration increment: \(5.0\times {10}^{-5}\)):
9.2. Characteristics of the mesh#
Number of knots: 121.
Number of stitches: 200 TRIA3; 40 SEG2.
9.3. Tested sizes and results#
Identification |
Reference type |
Reference values |
tolerance |
|
To \(t=\mathrm{0,25}\) |
||||
Movement \(\mathrm{DY}\) in \(\mathrm{A4}\) |
|
|
2.5 10-1 |
|
Membrane effort \({N}_{\mathrm{yy}}\) en \(\mathrm{A4}\) |
|
0 |
5 10-2 |
|
To \(t=\mathrm{1,0}\) |
||||
Membrane effort \({N}_{\mathrm{yy}}\) en \(\mathrm{A4}\) |
|
3353.497694 |
1.0 10-4 |
|
To \(t=\mathrm{2,0}\) |
||||
Movement \(\mathrm{DX}\) en \(\mathrm{A4}\) |
|
-0.2487559789 |
1.0 10-4 |
|
Membrane force \({N}_{\mathrm{yy}}\) en \(\mathrm{A4}\) |
|
0.2670950681 |
1.0 10-4 |
|
To \(t=\mathrm{2,0}\) |
||||
Membrane effort \({N}_{\mathrm{yy}}\) en \(\mathrm{A4}\) |
|
-2577.113397 |
1.0 10-4 |
|
To \(t=\mathrm{3,0}\) |
||||
Membrane effort \({N}_{\mathrm{yy}}\) en \(\mathrm{A4}\) |
|
25.02051934 |
1.0 10-4 |