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For Students · 3D Printing Optimizer

3D Printing Optimizer for a phase change

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a phase change live below — adjust the inputs and watch it respond, right in your browser.

Thermal Expansion

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Thermal ExpansionLive

materials grow with heat

Controls

Presets

Original length (m)

Temperature change (°C)

Heat a material and it expands: ΔL = α·L·ΔT, where α is the coefficient of linear expansion. Area grows at twice that rate and volume at three times. It is why bridges have expansion joints, why rails buckle in heat, and why Invar — with almost zero expansion — is prized for precision instruments.

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Data Inspector

α23 µm/m·°C

Length change11.5 mm

Area change0.230 m²

Volume change3.450 m³

Governing equation

Δ L = α L_{0} Δ T = (23 \times 1 0^{- 6}) (10) (50) = 11.5 mm

Reading this result: Heating 10 m of Aluminum by 50°C stretches it about 11.5 mm; area and volume grow 2× and 3× as fast.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Stress Strain

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Stress-Strain CurveLive

tensile testing

Controls

Presets

Applied strain

Pull on a material and its stress-strain curve tells its story: a straight elastic region with slope equal to Young's modulus, a yield point where permanent deformation begins, a peak at the ultimate tensile strength, and finally fracture. Ductile metals stretch far; brittle ones like cast iron snap with almost no warning.

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Data Inspector

Young's modulus200 GPa

Current stress294 MPa

UTS400 MPa

Regionplastic

Governing equation

σ = E ε, E = 200 GPa, ε = 0.050, σ \approx 294 MPa

Reading this result: Past yield (250 MPa): Mild steel is deforming permanently and hardening toward its 400 MPa ultimate strength.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for students?: Yes — this version of "3D Printing Optimizer for a phase change" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.