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Phractals

A fractional finite element platform currently under development.

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Aerospace
Energy
Materials
Manufacturing
Biomedical
Math Research
Pre release · v0.1.0

Pre-release focus

v0.1.0 is being developed for CAE and scientific-computing teams modeling history-dependent material behavior and nonlocal transport in thermomechanical systems.

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Phractals v0.1.0

The v0.1.0 release centers on three engineering priorities: generalized viscoelasticity, fully coupled thermoelasticity, and anomalous heat transfer.

Generalized viscoelasticity

Model hereditary stress-strain behavior with fractional constitutive response across loading histories.

Fully coupled thermoelasticity

Simulate bidirectional coupling between thermal fields and structural response in one framework.

Anomalous heat transfer

Capture non-classical diffusion and transport behavior where standard heat equations can underfit measurements.

Fractional simulation framework

Built on reliable FEM. Extended with fractional modeling.

Phractals preserves established finite-element workflows while introducing fractional formulations where memory, nonlocal interactions, or anomalous transport materially affect the response.

How the framework extends FEM

Use classical formulations where they are sufficient. Extend them where the physics demands more.

Reliable FEM foundation

Established discretization, boundary-condition, assembly, and solution workflows provide a dependable baseline for engineering analysis.

Targeted fractional extension

Fractional constitutive laws and operators introduce memory, nonlocal interactions, and anomalous transport without discarding the underlying finite-element framework.

A controlled path beyond classical models

Engineers can preserve familiar FEM practices, verify classical-limit behavior, and introduce fractional capabilities only when measurements or operating conditions justify them.

Early collaboration

Have a benchmark or CAE problem in mind?

Talk with M3SIM about early access, a technical collaboration, or applying Phractals to a future simulation workflow.