Analyze

F13LD.lab

Rigorous stiffness analysis: full-field FFT homogenization on the GPU, returning the complete elastic tensor and a directional-stiffness surface for a recipe.

Overview

What it does.

F13LD.lab computes the effective elastic stiffness of a recipe by solving the periodic homogenization problem on a voxel grid with a GPU FFT solver. It returns the full Voigt 6×6 stiffness matrix and a directional-stiffness surface — a step beyond the fast estimates the design tools show inline.

Lab is live but still being refined.

In the pipeline

Where it fits.

Lab is the rigorous-analysis stop, off to the side of the main corpus flow. The design tools and sweep give a fast stiffness estimate; lab gives the full tensor when accuracy matters.

recipe
Import
from any tool, file, or link
lab
Solve
full-field FFT on the GPU
tensor
Read
Voigt 6×6 + directional surface
decide
Act
refine the design, or proceed
First solve

Worked example: a stiffness solve.

Import a recipe

Load a design recipe (from a tool, a file, or a link).

Set grid and material

Choose the voxel resolution and the parent material Eₛ and ν.

Solve

The GPU FFT-CG solver iterates to the converged strain field and reads off the full Voigt 6×6 stiffness.

Read the surface

The directional-stiffness surface shows stiffness by direction; the Zener ratio follows from the tensor.

i

Accuracy rises with grid resolution — and so does cost. Converge the resolution before trusting the last digits.

Output

Output.

The full Voigt 6×6 stiffness matrix and the directional-stiffness surface. Reading them is covered in homogenization and anisotropy & Zener.

See also

Related pages.