STRUCTTETRAMESH:
StructTetraMesh is a tool to build structured tetreaedral mesh on cuboid dataset. This is usefull in avoiding delaunay 3D triangulation that for  this kind of dataset are particularly slow and numerically unstable.
This tool allows a huge speed improvement against delaunayn for 3D points, the output triangulation will also be “slivers-less”, this is  particularly important for programs that need a conform triangulation like
fem analysis and search structure algorithms.

INPUT:
x,y,z must be vectors, they represent the axis of the cuboid. It is
also very important they need to be sorted. To improve performances there
is no check for sorted vectors so you have to check yourself.

OUTPUT:
The Cuboid points are stored in the p: N x 3 array, the tetraedral mesh
with points index is stored in tetr: Ntetr x 4 array. First point is
flagged with index one.

EXAMPLE

Author: Giaccari Luigi
Created: 18/04/2009

For infos/questions/suggestions : giaccariluigi@msn.com

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STRUCTTRIMESH:
StructTriMesh is a tool to build structured triangular mesh on rectangle
shaped dataset. This is useful in avoiding delaunay 2D triangulation in
order to improve speed performances.
It can be used for graphical purposes, fem analysis, sedata structures…

INPUT:
x,y must be vectors, they represent the axis of the rectangle. It is
also very important they need to be sorted. To improve performances, there
is no check for sorted vectors so you have to check yourself.

OUTPUT:
The mesh described as:

• p: N x 2 array, points of the triangular mesh
• t: Ntri x 3 array.  Triangles indexes referring to p array. First point is flagged with index one.

EXAMPLE:

Author: Giaccari Luigi
Created: 22/04/2009

For info/questions/suggestions : giaccariluigi@msn.com

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This is a linear analysis effective for small displacements problems with homogeneous isotropic materials.
The tangential elastic modulus will be computed as G=E/(2*(1+poisson));
Note that there is no need of torque value, because of the linearity hipothesis, stresses,rotations and torque are univocally determined once only one of them is known.

Stiffnes modulus is calculeted in Nm/rad, this means is the rotation(rad) provoked by a 1Nm torque to a 1m length bar of the given section.

Inputs:

• p : Nx2 array of nodes coordinates, [x1,y1; x2,y2; etc]
  IMPORTANT: computation have been made using millimeters!
• t : Mx3 array of triangles as indices, [n11,n12,n13; n21,n22,n23; etc]
• E : Elastic modulus of material
• poisson : poisson ratio of material

Outputs: A grafical rapresentations of:

• Shear stress
• Membrane Analogy
• Stres/torque relationship
• Tau Flow

The call is:

so it is just necessary to have mesh and materials data.

For bugs, questions, suggestions just contact me at:

giaccariluigi@msn.com

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