Tools · Beam Welding

Keyhole vs. Conduction Mode Mapper

Enter beam power, spot size, and travel speed to see where a laser or electron-beam weld sits relative to the material's keyhole threshold. The map also estimates power density, specific energy, and the weld's depth-to-width ratio.

⚠ Disclaimer: Use at Your Own Risk This tool is provided "as is," for general engineering reference and educational purposes only, with no warranty of any kind. The mode threshold uses a published normalized-enthalpy criterion with averaged material properties and editable absorptivities. Real thresholds shift with beam quality, focal position, shielding gas, surface condition, and alloy content, and the depth estimate ignores melt flow and plume effects. Jeffrium and Jeffrey Sowards assume no liability for decisions, designs, procedures, or outcomes based on this tool's output. Confirm parameters with bead-on-plate trials and cross-sections. Use of this tool is entirely at your own risk.

Beam and material

Process parameters

Use the spot diameter at the work surface (1/e² or D86 for lasers, FWHM-equivalent for EB). Defocusing to a larger spot is the usual way to drop from keyhole into conduction mode.

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Power density (MW/cm²)
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Specific energy (J/mm²)
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Interaction time (ms)
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Line energy (J/mm)
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Depth / width (est.)
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Depth × width (mm)
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Normalized enthalpy as a multiple of the keyhole threshold. Red marks the unstable transition band.

Process map

Mode boundaries for the selected material and spot size. The dot is your operating point.
No melting Conduction Transition Keyhole Threshold
How it works

How the keyhole threshold is estimated

A keyhole forms when the surface gets hot enough to boil and the recoil pressure of the vapor pushes the melt aside. Whether that happens depends on how fast energy arrives compared with how fast the metal conducts it away.

The math

Power densityI = P / (πd²/4)
Specific energyEs = P / (d·v)
EnthalpyH* = A·P / (1.6·π·r·k·Tm·√(1 + πvr/8κ))
Keyhole ifH* ≥ π·Tb / Tm
Aabsorptivity at onset
r, dspot radius, diameter
k, κconductivity, diffusivity
Tm, Tbmelting and boiling points (K)

Worked example

Given304 stainless, fiber laser, 3 kW, 300 µm spot, 50 mm/s
Power density4.2 MW/cm²
Specific energy200 J/mm²
Thresholdonset at about 0.65 kW (0.9 MW/cm²)
ResultKeyhole, about 4 mm deep

Defocusing the same 3 kW to a 2 mm spot drops it to conduction mode, with a wide, shallow bead.

More detail

Assumptions used in this calculator
  • Uniform (top-hat) beam of the stated diameter, focused at the surface. Beam quality, focal position, plume shielding, and shielding gas are not modeled.
  • Material properties are constant averages between room temperature and melting.
  • Absorptivity is a fixed, editable value: one at keyhole onset and one inside the keyhole. Real absorptivity varies with temperature, surface condition, and wavelength.
  • Keyhole onset is a normalized enthalpy of πTb/Tm (King et al.'s theoretical criterion). The ±25% band around it is labeled transition.
  • Keyhole depth comes from a line-source energy balance with the keyhole wall at the boiling point. Width is the weld's waist, ignoring melt flow and the wider nail-head, and the plate is assumed thick enough not to fully penetrate.
  • Conduction-mode aspect ratio is interpolated between 0.1 and 0.5 and is indicative only.
  • Steels and titanium are the best calibrated (onset near 1 MW/cm²); aluminum and copper are the least certain.
Where the threshold comes from

Hann, Iammi and Folkes (2011) showed that melt depth for many metals and lasers collapses onto one curve when plotted against the normalized enthalpy ΔH/hs. King et al. (2014) set the theoretical keyhole onset at ΔH/hs ≈ πTb/Tm, roughly 6 for steels.

Hann's expression grows without limit as speed approaches zero. This tool replaces it with the surface temperature of a uniform disc source, which stays finite when stationary and matches Hann's form exactly at welding speeds. The ±25% band around the threshold reflects real scatter: in that zone the keyhole opens and collapses intermittently.

How depth and aspect ratio are estimated

In keyhole mode the beam acts like a line source through the thickness. Holding a cylinder the size of the spot at the boiling point takes a power per unit depth of

q′ = 2πk(Tb − T0) / [I0(Pe)·K0(Pe)],  Pe = vr / 2κ

so depth ≈ Akh·P / q′. Width is taken at the widest point of the melting isotherm of the same line source, and is never less than the spot diameter. This gives the waist of the weld, not the wider nail-head at the top surface. In conduction mode the pool is at most hemispherical (D/W ≤ 0.5).

Typical absorptivities
Material1 µm onsetGreenKeyhole
Titanium0.400.550.80
Steels0.350.500.80
Aluminum0.200.300.70
Copper0.150.400.60

Onset values are for a hot or molten surface. Cold, polished aluminum and copper reflect far more at 1 µm, which is why their keyhole onset is abrupt and less repeatable. Electron beams couple at 0.75-0.95, depending on backscatter.

References
  • D.B. Hann, J. Iammi and J. Folkes, “A simple methodology for predicting laser-weld properties from material and laser parameters,” J. Phys. D: Appl. Phys. 44, 2011, 445401.
  • W.E. King et al., “Observation of keyhole-mode laser melting in laser powder-bed fusion additive manufacturing,” J. Mater. Process. Technol. 214, 2014, 2915–2925.
  • D. Rosenthal, “The theory of moving sources of heat,” Trans. ASME 68, 1946, 849–866.
  • W.M. Steen and J. Mazumder, Laser Material Processing, 4th ed., Springer, 2010.

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Jeffrium runs process-window studies, thermal simulation, and parameter development for laser and electron-beam welding of titanium, nickel alloys, aluminum, and copper, from first trials to a qualified schedule.

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