5. C modeling#

Here we test the 3D changes on a 2D mesh. Always starting from the initial grid, we will impose separately:

  • a deformation with a field (1, 2, 3) applied to all the nodes

  • a vector translation (1, 2, 3)

  • a rotation of 45 degrees along the X axis (rotation out of plane)

  • a base change of vectors \((1;0;0)\), \((0;1;1)\) and their orthogonal

  • symmetry with respect to the plane constituted by the point (0,0,0) and the vectors \((1;0;0)\), \((0;1;1)\)

A three-dimensional displacement is thus tested for an initially two-dimensional mesh.

5.1. Characteristics of the mesh#

The mesh has a single element of type QUAD4.

5.2. Tested sizes and results#

With a deformation of the type “TRAN” according to the vector (1, 2, 3)

DEFORME =_F (OPTION =” TRAN “…)

Points observed

Coordinates

Reference

\(\mathit{P1}\)

\(X\)

1

\(Y\)

2

\(Z\)

3

With a translation according to the vector (1

2

Points observed

Coordinates

Reference

\(P1\)

\(X\)

1

\(Y\)

2

\(Z\)

3

With a rotation of 45 degrees along the X axis (rotation out of plane)

Points observed

Coordinates

Reference

\(P3\)

\(X\)

1

\(Y\)

2.1213203436

\(Z\)

2.1213203436

With a base change of vectors \((1;0;0)\), \((-0;1;1)\)

Points observed

Coordinates

Reference

\(P3\)

\(X\)

1

\(Y\)

2.1213203436

\(Z\)

-2.1213203436

With symmetry with respect to the plane constituted by the point (0,0,0) and the vectors \((1;0;0)\), \((0;1;1)\)

Points observed

Coordinates

Reference

\(P3\)

\(X\)

1

\(Y\)

0

\(Z\)

3