Induction heating application

Principles of Induction Heat Treating

The electromagnetics behind a controlled, repeatable hardening pattern.

Induction heat treating works by inducing eddy currents in a part with an alternating magnetic field. Frequency sets how deep the current flows (skin depth), the proximity effect makes current follow the coil shape, and the coupling gap, copper profile and magnetic flux controllers let designers shape the heat pattern.

Induction heat treating in brief

Induction heat treating covers hardening, tempering and annealing. It needs simultaneous control of electromagnetic fields, current flow, time and temperature. The usual goal is to heat a specific area of a part, such as a bearing race, journal or tooth flank, quickly above its austenitizing temperature and quench it right away to reach the case depth and hardness profile the specification requires. This page covers the principles; Methods and Inductor Styles apply them.

Current flow and the proximity effect

Eddy currents are the primary source of heat in most induction heat treating applications. Like any current, they must form a closed contour, and in most cases the current in the workpiece follows the shape of the coil because of the proximity effect. Power density at any point depends on current density there, which is shaped by:

  • The coupling gap between coil and workpiece
  • The width of the copper heat face
  • Geometry changes in the part: fillets, undercuts, corners, shoulders, chamfers, splines, keyways and oil holes
  • Electromagnetic end and edge effects
  • The presence of magnetic flux concentrators

Where current flows perpendicular to a geometry change, it favors the surface closer to the coil. At the end of a closer section, heating rises for a magnetic (hardening) condition and falls for tempering, an electromagnetic end effect whose size depends on frequency. Where current flows along a geometry change, the edge effect is smaller.

Frequency and skin depth

Frequency sets how deep the current and heat penetrate. Practitioners use the reference depth, or skin depth:

skin depth = k x square root of (resistivity / (permeability x frequency))

where k is a constant that depends on units. Depth falls as frequency rises. In large bodies, 63% of the current and 86% of the power lie in the first reference depth.

In hardening, the real distribution differs, because the cold magnetic steel beneath the hot nonmagnetic surface layer still interacts with the field. Practical consequences:

  • Lower frequency: higher power, shorter heating time and lower surface temperature for the same case depth; larger electrodynamic forces and a need for robust coil structures.
  • Higher frequency: lower power and longer heating time to reach the same depth without overheating the surface; a stronger proximity effect, which helps heat fillets.

Frequency also affects the coil itself. The most effective conductive wall thickness of coil tubing is about 1.6 times the reference depth in the copper; thinner walls cost efficiency, though mechanical practicality often sets a thicker wall. The ASM chapter lists typical wall thickness by frequency, from 0.75-1 mm at 50-450 kHz up to 4-6.5 mm at 1-3 kHz.

Magnetic flux and power density distribution in induction coils

Three tools for controlling the heat pattern

Meeting the specified pattern and transition zone is often the hardest part of heat treating. In scan hardening, power and scan speed can be adjusted as the part moves through the coil. In single-shot coils, the pattern has to be designed into the coil using three tools.

1. Coupling gap

The most direct control. A closer coil gives more intense heating because current flows in a narrower band; a larger gap spreads the current over a longer length and lowers power density.

2. Coil copper profile

The part of the coil turn that faces the workpiece and carries most of the current is the heat face. Changing its geometry profiles the power. A common example is a larger gap in the middle of the coil than at the ends, which compensates for flux divergence and thermal losses at the coil ends and keeps the pattern out of an undercut or snap-ring groove. For coils with several heat faces, narrowing the heat face raises power density, though the real effect is much less than ideal theory predicts because not all current is under the heat face (the chapter’s simulation found about 17% rather than 78%).

3. Magnetic flux controllers

This is the most effective and precise method. A soft magnetic composite such as Fluxtrol (or laminations) placed near the coil gives the field a low-reluctance path, concentrating it and driving nearly all current onto the desired heat face. Profiling the SMC poles contours the pattern smoothly through areas such as fillets, without steps in the copper and without excessive heating of adjacent bearing journals.

Coil integrity: quench, cooling and structure

A heat treating inductor must also deliver quench, survive thermal cycling and stay mechanically stable:

  • Quench. Quenching is the second half of heat treating. It should be vigorous and uniform, usually through staggered small holes, and should start before the surface cools below hardening temperature. Non-uniform quench causes uneven hardness and distortion.
  • Cooling. High currents require water-cooled copper. Copper overheating is the leading cause of failure in heavily loaded inductors, usually as fatigue cracking from thermal cycling. Reducing local power density, for instance by using an SMC concentrator that lowers coil current, extends life.
  • Structure. Electrodynamic forces scale with the square of coil current, so low-frequency, high-power coils use fiber-reinforced plastic supports and other structures.

Put the principles to work

Fluxtrol applies these principles with simulation and Fluxtrol SMCs to meet difficult patterns and extend coil life. Contact our team about your hardening application, or return to the induction hardening overview .

Flux controller materials for heat treating coils

Principles in practice

Frequently asked questions

What is skin depth in induction heating?
Skin depth, also called reference depth, describes how deep the induced current flows into a part. It depends on electrical resistivity, magnetic permeability and frequency: it shrinks as frequency or permeability rises and grows as resistivity rises. In a large body, 63% of the current and 86% of the power lie within the first reference depth, so power is commonly assumed to be generated in that layer.
How does frequency affect induction hardening?
Lower frequencies reach deeper, so they suit larger case depths and mass heating, but need higher power levels and a stronger coil structure. Higher frequencies suit shallow case depths and fine features, using lower power and longer heating times to avoid overheating the surface. The same case depth can often be reached across a wide frequency range.
What is the proximity effect?
The proximity effect concentrates current where conductors are close together. In heat treating it makes the current in the part closely follow the shape of the coil, which is why the coupling gap, coil geometry and part geometry (fillets, shoulders, corners) control where heat appears. A closer gap gives a narrower, more intense band of heating on the part surface.
How do you control the heat pattern in an induction coil?
Three tools are used: the coupling gap between coil and part, the cross-sectional profile of the copper heat face, and magnetic flux controllers. For scan hardening, power and scan speed are also adjusted. Flux controllers are the most effective and precise of the three, because they push nearly all coil current onto the heat face and let designers contour the pattern by shaping the concentrator poles.
Why do induction heat treating coils need robust structures?
Electrodynamic forces in induction coils are proportional to the square of coil current, so they rise with power, and they are higher at lower frequencies. The forces pull the coil toward the cold magnetic part and push it away once the surface passes the Curie point. Heavy copper, non-conductive fiber-reinforced supports and guide shoes keep the coil stable and repeatable.

Optimizing an induction process?

Talk with a Fluxtrol engineer about your coil, material or heat pattern challenge.