Additive & Ultrasonic Metal Consolidation

Ultrasonic Additive Manufacturing (UAM) Foil Welding & Energy Density Calculator

Model acoustic energy density ($E_{\text{linear}}$), rolling sonotrode normal force, linear bond density (LBD %), and hybrid CNC channel milling for smart structural composites.

1. Input Parameters

Foil Material Matrix

Solid-state acoustic metal consolidation without bulk melting.

Single Foil Caliper Thickness $t_{\text{foil}}$ (mm)

Ultrasonic Frequency $f$ (kHz)

Vibration Peak-to-Peak Amplitude $\xi$ (µm)

Shear scrubbing displacement creates acoustic plastic flow.

Normal Clamping Force $F_N$ (Newtons)

Linear Welding Travel Speed $v$ (mm/s)

Embedded Fiber / Sensor Diameter $d_{\text{sensor}}$ (mm)

For fiber optics, thermocouples, or conformal electronic traces.

2. Calculation Results

Linear Energy ($E_{\text{linear}}$)

162.8 J/mm

Area Energy ($E_{\text{area}}$)

8.57 J/mm²

Linear Bond Density (LBD)

89.4 %

Micro-Slot Milling Depth

0.290 mm

3. Dynamic Visualizer & CAM Preview

4. Engineering Notes & Physics Specifications

Ultrasonic Additive Manufacturing (UAM) utilizes high-power ultrasonic acoustic energy and rolling sonotrode normal force to bond metal foils in the solid state below their melting temperatures.

Linear Energy Density ($E_{\text{linear}}$): E = P_acoustic / v_weld = (F_N · μ · 2π f · ξ) / v_weld in J/mm. High energy guarantees oxide film dispersal and true metallurgical coalescence.
Linear Bond Density (LBD %): Measures the percentage of unvoided contact along foil interfaces. LBD exceeding 85% achieves parent material tensile properties.
Hybrid CNC Integration: UAM layers are intermittently milled via 3-axis CNC endmills to create internal cooling channels, embedded fiber-optic sensor grooves, and final net-shape profiles.

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