1. Reference problem

1.1. Geometry

Measures	Values ( \(\text{mm}\) )
\(\mathit{Lx}\)	22.2
\(\mathit{Ly}\)	15
\(\mathit{Lz}\)	4
\(a\)	9
\(a\text{'}\)	8.94
\(b\)	6
\(b\text{'}\)	5.94
\(p\)	0.1

The structure under consideration is a block with an elliptical notch. As part of this modeling and for reasons of symmetry, only a quarter of the block is taken into account.

1.2. Material properties

Young’s module: \(223194\text{MPa}\).

Poisson’s ratio: \(\nu \mathrm{=}0.3\).

Tensile curve (Von Misès isotropic plasticity):

Deformation applied	Stress threshold raised \([\text{MPa}]\)
0.00379042	846
0.00579042	849.2
0.01179042	840.9
0.01479042	842.4
0.01879042	849.7
0.02179042	855.9
0.02979042	894.2
0.04679042	951.2
0.07179042	1012.9
0.10379042	1067.1
0.13479042	1106.6
0.20379042	1165.7
0.30379042	1228.4
0.40379042	1275.3
0.50379042	1313
0.60379042	1344.8
0.70379042	1372.4
0.80379042	1396.8
0.90379042	1418.7
1.0037904	1438.7

Table 1.1

1.3. Boundary conditions and loads

The face located in \(x=0\) has an imposed displacement along the \(x\) axis zero.

The face located in \(y=\mathrm{Ly}\) has an imposed displacement along the \(y\) axis zero.

The face located in \(z=0\) has an imposed displacement along the \(z\) axis zero.

A force that increases linearly in time is applied to the face located at an altitude of \(\mathrm{Lz}\).

This strength is worth \(\mathrm{2000N}\) at the moment \(\text{INST}=\mathrm{20s}\).