1. Reference problem#

1.1. Geometry#

_images/10000000000004AE000001D5A1678C68AAEDF9E7.png

The coordinates of the points are given in meters (\(m\)):

\(A1(0.0\mathrm{,0})\)

\(A3(10\mathrm{,5})\)

\(A2(10.0\mathrm{,0})\)

\(A4(0,5)\)

Table 1.1-1

The thickness of the plate is \(e\mathrm{=}\mathrm{0,8}m\)

1.2. Material properties#

The material has an isotropic elastic behavior:

Young’s module: \(E\mathrm{=}200000\mathit{MPa}\)

Poisson’s ratio: \(\nu \mathrm{=}0\)

1.3. Boundary conditions and loads#

Edge \(\mathit{A1A4}\) is embedded.

A \(\mathit{Fz}\mathrm{=}–1000N\) nodal force is applied to the \(\mathit{A2A3}\) edge.

1.4. Modellations#

The different models are:

Modeling

Element Type

Meshes

Number of mesh elements

A

DST

QUAD4

50

B

DST (multi-layered, \(\mathit{ncou}\mathrm{=}2\))

QUAD4

50

C

Q4G

QUAD4

800

D

Q4G (multi-layer, \(\mathit{ncou}\mathrm{=}2\))

QUAD4

800

E

DST

TRIA3 (regular mesh)

1600

F

DST

TRIA3 (irregular mesh)

1600

Table 1.4-1