3. Modeling A#

3.1. Characteristics of modeling#

Elements \(\mathrm{2D}\) (QUAD8 and TRIA6)

\(C\)

\(D\)

\(B\)

\(A\)

Boundary conditions:

  • line \(\mathit{AB}\) blocked in \(\mathit{dy}\)

  • line \(\mathit{AD}\) blocked in \(\mathrm{dx}\)

  • pressure on line \(\mathit{BC}\): \(p=11.\)

  • pressure on line \(\mathit{CD}\): \(p=15.4\)

  • Node names:

    • \(A=\mathrm{N1}\)

    • \(B=\mathrm{N2}\)

    • \(C=\mathrm{N3}\)

    • \(D=\mathrm{N4}\)

3.2. Characteristics of the mesh#

Number of knots: 14

Number of meshes and types: 1 QUA8, 2 TRIA6 and 6 SEG3

3.3. Tested sizes and results#

Location

Size

Reference

% tolerance

\(A\)

\({\varepsilon }_{\mathit{xx}}\)

-6.90344827275900010-4

<10-4

-6.903448275900010-4

-6.903448275900010-4

\({\varepsilon }_{\mathit{yy}}\)

-1.6765517241400 10-3

<10-4

\(B\)

\({\varepsilon }_{\mathit{xx}}\)

-6.9034482759000 10-4

<10-4

-6.9034482759000 10-4

\({\varepsilon }_{\mathit{yy}}\)

-1.6765517241400 10-3

<10-4

\(C\)

\({u}_{x}\)

-1.3806896558000 10-3

<10-4

\({u}_{y}\)

-3.3531034482800 10-3

<10-4

\({\varepsilon }_{\mathit{xx}}\)

-6.90344827275900010-4

<10-4

\({\varepsilon }_{\mathit{yy}}\)

-1.6765517241400 10-3

<10-4

D

\({\varepsilon }_{\mathit{xx}}\)

-6.9034482759000 10-4

<10-4

-6.9034482759000 10-4

\({\varepsilon }_{\mathit{yy}}\)

-1.6765517241400 10-3

<10-4