The "Poynting effect" actually refers to three distinct phenomena, all named after English physicist John Henry Poynting (1852-1914), but otherwise completely unrelated to each other.
1. Solid Mechanics - The Poynting Effect in Elasticity
This is what most physicists and engineers mean today by "the Poynting effect."
What it is: A nonlinear elastic phenomenon where a material under shear or torsion develops stresses (or deformations) perpendicular to the applied loading direction.
Two manifestations:
- Torsion version (classical, 1909): When a cylinder or wire is twisted, it tends to elongate axially. Poynting observed this experimentally with metal wires - a loaded wire gets longer when twisted. To maintain constant length, you must apply a compressive axial force. This is the positive Poynting effect.
- Simple shear version: When a soft elastic block is sheared between two plates, normal stresses develop perpendicular to the shearing direction. To maintain constant separation between the plates, you must apply a compressive force - the plates are pushed apart by the material.
Why it happens: It is an inherently nonlinear (finite strain) effect. Linear elasticity predicts zero normal stress from shear. The effect only appears at second order in the strain, arising from the nonlinear constitutive response of the material (the stored energy function must contain terms beyond quadratic in strain).
Reverse Poynting effect: Some soft materials (certain gels, biopolymer networks) actually shorten under torsion or pull the plates together under shear. This "negative" or reverse Poynting effect has been actively studied in recent years and is linked to strain-stiffening constitutive models.
Practical significance:
- Characterizing rubber, biological tissues, hydrogels
- Understanding soft robotics materials
- Biomechanics (tendons, arteries exhibit Poynting-type responses)
- Seismic wave propagation in nonlinear media
2. Thermodynamics - The Poynting Effect on Vapor Pressure
What it is: The increase in vapor pressure of a liquid when external (mechanical) pressure is applied to it by an insoluble, non-condensable gas.
Origin: Poynting generalized the Kelvin equation in 1881, showing that vapor pressure changes not only due to surface curvature (Laplace pressure) but due to any applied pressure source.
The physics: Applying pressure to a liquid increases the chemical potential of the liquid phase. The vapor phase responds by increasing its pressure to maintain thermodynamic equilibrium. The relationship comes from the Maxwell relation:
(∂μ/∂P){T,N} = (∂V/∂N){T,P} = V_m (molar volume of liquid)
Formula (Poynting correction):
ln(P_vap / P°_vap) ≈ V_m · ΔP / RT
where ΔP is the applied excess pressure.
Important nuance: If the pressurizing gas is soluble in the liquid, it also lowers vapor pressure via a colligative effect, which can cancel or overwhelm the Poynting increase.
Applications:
- Fuel injection systems (pressure on liquid fuel raises its vapor pressure)
- Supercritical extraction processes
- Phase equilibrium calculations in chemical engineering
- Enhanced oil recovery
3. Electromagnetism - The Poynting Vector / Poynting's Theorem
Though usually called the "Poynting vector" rather than the "Poynting effect," it is sometimes grouped under the same name.
The Poynting vector S describes the directional energy flux (power per unit area) of an electromagnetic field:
S = E × H (W/m²)
In SI units, using E (V/m) and H (A/m), S has units of watts per square meter.
Poynting's theorem is the EM energy conservation law:
∂u/∂t = -∇·S - J·E
- ∂u/∂t = rate of change of EM energy density
- -∇·S = energy flowing into the region
- -J·E = power delivered to charges (resistive heating, etc.)
Counterintuitive result: Energy in a circuit does not flow through the wires - it flows through the surrounding electromagnetic field. For a coaxial cable carrying current I and voltage V, the Poynting vector points axially along the cable in the dielectric space between conductors, not inside the conductor.
Summary Table
| Context | What It Describes | Year |
|---|
| Solid mechanics | Normal stress/strain from shear/torsion (nonlinear elasticity) | 1909 |
| Thermodynamics | Vapor pressure increase under applied mechanical pressure | 1881 |
| Electromagnetism | Directional energy flux of EM fields (S = E × H) | 1884 |
All three are named after
J. H. Poynting, who made foundational contributions across multiple branches of physics in the late 19th and early 20th centuries. The solid mechanics Poynting effect is currently the most active research area, with a 2025 review in the
Journal of Elasticity (
Springer, 2025) covering recent results on soft elastic materials including the reverse Poynting effect.