Table of Contents
Rigid matrices
Defining rigid matrices
In Metafor, any geometric entity can be defined as rigid Contact Matrices. No additional definition is required.
However, the orientation of the entity is relevant. It defines the area considered as the die, where a penetrating node will experience a contact force. By convention, the normal vector is pointing inside the die.
This normal $\boldsymbol{n}$ is defined as stated below.
- In 2D: The convention states that the cross product $\boldsymbol{t} \wedge \boldsymbol{n} = (0,0,1)$. This is equivalent in saying that the contact matrix is defined with its area to the left (when following the line defining the matrix, any node trying to penetrate in the aerea to the left will experience a contact force).
- The orientation of a
Curve
(Line
,Arc
, etc) is defined by its tangent (which can be displayed in the graphical interface). By default, it is defined by its points, from the first one to the last one. - The orientation of a
Wire
is defined by the succession of its lines, from the first to the last, and not by their vertices. When a wire is defined by only one curve, the orientation of the wire is the orientation of the curve.
- In 3D: The normal of a
Side
is defined as the normal of the correspondingSurface
(which can be displayed in the graphical interface). Concerning aSkin
, nowadays theSides
must be defined in a way guaranteeing consistency of the whole. To define a planar contact matrix, aPlane
surface must be defined and associated to aSide
.
For rigid-defo contact, when Sides
or Curves
are used to define contact matrices, contact can be detected outside of the matrix boundary because lines and surfaces are 10% extrapolated. To avoid this issue, a Skin
or Wire
must be defined instead. The orientation of a 'Curve
or Wire
is easy to modify using curve.reverse
. This command is not yet available for surfaces, so consistency of Sides
must be done manually.
It is also possible to reverse the convention defining where the surface matrix is, changing the value of TYPE_CONT
from the default UNILATERAL_POSITIF
to UNILATERAL_NEGATIF
.
Contact - motion of matrices
In Metafor, moving contact matrices is done by moving geometric entities in the contact interaction with a Loading
(see Prescribed Displacements).