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Residual Stress Measurement and Control in Deep Hole Drilled Components: XRD, Incremental Hole Drilling, and Contour Method Techniques

A manufacturer of aircraft landing gear components (AISI 4340, Q&T 48 HRC, Ø18 mm × 400 mm deep bore, design life 10⁶ cycles at 280 bar) found that components from one batch failed at 2–4 × 10⁵ cycles — less than 50% of design life — while the previous batch achieved 8 × 10⁵–2 × 10⁶ cycles. The only difference was a gun drill resharpening service change — the new service provider ground a 8° clearance angle instead of the specified 12°, producing higher cutting forces and tensile residual stress of +120 MPa (measured by XRD at the bore surface) versus −180 MPa (compressive) from correctly ground tools. Restoring the specified clearance angle and implementing resharpened tool geometry verification eliminated the tensile stress and restored fatigue life to the design range.

Residual Stress Fundamentals in Deep Hole Drilling

Residual Stress Origins and Characterisation in Deep Hole Drilled Bores

Stress OriginPhysical MechanismTypically ProducesMagnitude Range (MPa)Depth of Affected Layer (µm)Process Parameters That Increase EffectProcess Parameters That Decrease Effect
Mechanical loading — cutting edgeThe cutting edge plastically deforms the surface layer; the underlying elastic material constrains the deformed layer, creating compressive residual stressCompressive (−)−50 to −40020–100Higher feed rate (increases mechanical loading); sharp tool (cleaner cut → more mechanical dominance); larger edge radius (more ploughing → more compressive stress)Lower feed rate (reduces mechanical loading); worn tool (increases thermal loading over mechanical)
Mechanical loading — guide padsThe guide pads burnish the bore wall under high contact pressure (500–2000 MPa), creating localised plastic compressionCompressive (−)−100 to −50010–50Higher guide pad contact pressure (tighter clearance, stiffer tool); polished guide pads (uniform pressure distribution); larger pad width (distributes load)Lower pad contact pressure (looser clearance); worn or scored pads (concentrated contact → localised stress variation)
Thermal loading — cutting heatThe cutting edge heats the surface layer; the heated layer expands but is constrained by the cooler bulk material; upon cooling, the layer contracts but is constrained — creating tensile stressTensile (+)+50 to +40010–100Higher cutting speed (increases heat generation); worn tool (increased friction → more heat); low coolant pressure (inadequate heat removal); dry drilling (no coolant)Lower cutting speed (reduces heat generation); sharp tool (reduces friction); high coolant pressure (improved heat removal); cryogenic cooling (reverses thermal gradient)
Thermal loading — expansion mismatchDifferential thermal expansion between different phases in the material (e.g., carbides in steel, gamma-prime in Inconel) during heating and cooling creates micro-level residual stressTensile or compressive depending on phase CTE mismatch±50 to ±3000.1–5 (grain-scale)High heating rate (steep thermal gradient between phases); materials with high CTE mismatch between phases (e.g., WC-Co composites)Low heating rate (slow cooling allows thermal equilibration); single-phase materials (no CTE mismatch)
Phase transformation — white layerSurface temperature exceeds austenitisation temperature (720–850°C for steel); rapid quenching forms untempered martensite with 4% volumetric expansionCompressive (−) in transformed layer; tensile (+) in adjacent sub-layer−500 to −1000 (white layer); +200 to +500 (subsurface)2–20 (white layer)Conditions that produce white layer: worn tool + high speed + low feed + inadequate coolantConditions that avoid white layer: sharp tool + moderate speed + adequate coolant
Phase transformation — retained austeniteMechanical deformation can transform retained austenite to martensite (TRIP effect), causing 4% volume expansionCompressive (−)−50 to −3005–30Materials with significant retained austenite (e.g., case-hardened steels, some stainless steels); high mechanical loading (sufficient to drive transformation)Annealed or quenched-and-tempered condition (minimal retained austenite); lower mechanical loading

Typical Residual Stress Profiles for Deep Hole Drilling Methods

Drilling MethodMaterialSurface Stress Axial (MPa)Peak Compressive Stress (MPa)Depth of Peak Stress (µm)Depth of Zero Crossing (µm)Stress at 200 µm Depth (MPa)Profile ShapeFatigue Life Factor vs Polished Baseline
Gun drilling — carbide, sharp, optimum parametersAISI 4140 (32 HRC)−200 to −350−350 to −50015–3080–150 (no zero crossing — stays compressive)−100 to −200Smooth, monotonic decrease from surface0.9–1.1 (near-polished)
Gun drilling — carbide, worn (VB = 0.3 mm)AISI 4140 (32 HRC)+50 to +150−50 to −100 (mild compressive)40–8030–60 (crosses to tensile at surface)0 to −50Near-surface tensile spike, then mild compressive0.4–0.6
BTA drilling — HSS, conventionalAISI 4140 (32 HRC)+50 to −50 (mild tensile to zero)−100 to −20050–10050–100 (may cross to tensile)−50 to −100Variable — often W-shaped (tensile at surface, compressive beneath, tensile at transition depth)0.5–0.8
BTA drilling — carbide, optimisedAISI 4140 (32 HRC)−100 to −250−200 to −35030–60100–200−50 to −150Gradual, compressive throughout0.8–1.0
Gun drilling — carbide, sharp2024-T351 aluminium−100 to −200−150 to −25020–4050–100−50 to −100Smooth, entirely compressive0.9–1.1
Gun drilling — carbide, worn2024-T351 aluminium0 to +80−50 to −10030–6030–50 (crosses to tensile)0 to −30Near-surface tensile, mild compressive at depth0.5–0.7
Gun drilling — PCD, sharp, cryogenic LN2Ti-6Al-4V (annealed)−250 to −400−400 to −55015–3080–120−100 to −200Sharp compressive peak, gradual decrease1.0–1.2 (exceeds polished baseline)
Gun drilling — carbide, conventional oilTi-6Al-4V (annealed)−100 to −250−200 to −35020–4050–100−50 to −100Moderate compressive0.8–0.9
ECM drillingInconel 718 (annealed)0 to −50 (near zero to mild compressive)−50 to −805–1520–400 to −20Nearly flat (stress-free)1.0 (stress-free surface)
EDM drillingInconel 718 (annealed)+200 to +500−100 to −300 (beneath recast layer)10–30 (recast); 30–60 (peak compressive beneath)50–100−50 to −150Tensile at extreme surface (recast layer), compressive beneath0.3–0.5

Residual Stress Measurement Methods

Comparison of Residual Stress Measurement Techniques for Deep Hole Drilled Bores

MethodMeasurement PrincipleDepth RangeSpatial Resolution (lateral)AccuracyStress Component MeasuredDestructive / Non-DestructiveApplicability to Deep BoresEquipment CostStandard / Protocol
X-ray diffraction (XRD) — sin²ψ methodMeasurement of lattice spacing (d-spacing) changes due to elastic strain at multiple ψ tilts; stress calculated from d vs sin²ψ slope using Bragg's law and elasticity theory5–50 µm (surface); up to 200 µm with layer removal (electropolishing)0.5–5 mm beam diameter±10–30 MPa (laboratory XRD); ±20–50 MPa (portable XRD)Axial and hoop (in-plane) stress at the bore surfaceNon-destructive (surface); semi-destructive with layer removal for depth profilingGood — small diffractometer head can access bore entry (limited); bore surface accessible at entry, mid-depth (with special fixturing), and exit; 90° measurement of axial and hoop components$150 000–400 000 (laboratory); $80 000–200 000 (portable)ASTM E2860; SAE HS-784; NPL Good Practice Guide No. 52
Incremental hole drilling (IHD)Small hole (Ø0.8–2.0 mm) drilled incrementally through the bore wall; strain relaxation measured by a strain gauge rosette (3–6 gauges) at each increment0–2 mm depth; 5–20 µm per increment15–25 mm (strain rosette diameter)±15–30 MPaAxial and hoop (in-plane) stress as a function of depthSemi-destructive (small hole remains)Good — strain gauge rosette (062RE type, 6 mm diameter) can be applied to bore surface; measures stress directly at bore wall location accessible to gauge bonding$10 000–30 000 (hole drilling device + strain gauge readout)ASTM E837-20 (standard test method for determining residual stresses by IHD)
Contour methodPart sectioned by EDM wire cutting along a plane of interest; surface contour (out-of-plane displacement) measured on the cut surface; stress calculated by FE analysis applying the measured contour as a boundary conditionFull cross-section (mm to cm depth)0.1–1 mm (measurement resolution); FE mesh determines stress resolution±20–50 MPaStress component perpendicular to the cut plane (typically the axial stress in the bore direction)Destructive (part sectioned)Good — entire bore cross-section can be analysed; provides full-field stress map across the bore wall thickness; ideal for validating other methods$20 000–50 000 (EDM + CMM + FE software)No ASTM standard; best practice guidelines published by The Open University (UK) and Los Alamos National Laboratory
Deep hole drilling technique (DHD — reference hole method, NOT the same as gun drilling)Reference hole (Ø1.5–5 mm) gun-drilled through the component (stress-free reference); diameter measured with an air probe at multiple angles and depths; a trepanning core (Ø10–20 mm) is cut around the reference hole; measured diameter change before/after trepanning is converted to stressFull thickness of the component (10–300+ mm)1–5 mm (depth); mm-scale in-plane±15–40 MPaFull stress tensor (axial, hoop, radial, and shear components if measured at 8+ angles)Destructive (trepanning removes a core)Excellent — specifically developed for thick-section components with deep bores; reference hole is gun-drilled (stress-free), then trepan tested; measures through-thickness stress in the tube sheet or bore wall$30 000–80 000 (air probe + trepanning fixture + strain gauge readout if used)No ASTM standard; guidelines available from the DHD technique developers (VEQTER Ltd, University of Bristol)
Magnetic Barkhausen noise (MBN)Measurement of magnetic domain wall movement under an applied alternating magnetic field; domain wall mobility is affected by residual stress and microstructure10–200 µm (depth depends on material, magnetic field frequency, and excitation amplitude)1–10 mm (probe diameter)Semi-quantitative (±30–60% relative if not calibrated)Stress direction relative to magnetic field directionNon-destructiveGood — small MBN probe (3–10 mm) can access bore surfaces; rapid measurement (< 1 second per point); effective for scanning large areas for stress variation$20 000–60 000Semi-standardised; requires calibration against XRD for each material condition
Neutron diffractionMeasurement of lattice spacing changes using neutron beam (penetrates 10–50 mm into steel); analogous to XRD but with greater penetration0.1–50 mm (depth depends on material and neutron energy)0.5–2 mm (gauge volume defined by slits)±20–50 MPaFull strain tensor (with measurements at 6+ scattering vectors)Non-destructiveExcellent — neutrons penetrate thick sections; can measure stress deep inside the bore wall; ideal for validation of other methodsVery high — $500–2000 per hour (reactor or spallation source facility); limited accessISO 21432; NPL Good Practice Guide

Practical Recommendations for Measurement Method Selection

Situation / ObjectiveRecommended Primary MethodRecommended Secondary MethodRationale
Routine production quality control — verify that drilling process produces compressive stressXRD (portable) at bore entry and exit; 3 bores per batchMBN (if material is magnetic and calibrated)Fast, non-destructive, quantitative; portable XRD can be used on the shop floor; MBN provides 10× faster scanning if calibrated
Process development — optimise drilling parameters for compressive stressXRD (laboratory) for surface stress + IHD for depth profileDHD technique (for through-thickness profile in thick sections)Laboratory XRD provides highest accuracy; IHD provides the complete near-surface depth profile; DHD provides through-thickness confirmation
Fatigue life prediction — need full residual stress depth profile as input for fatigue simulationIHD (surface to 1–2 mm depth) + XRD (surface confirmation)Contour method (full cross-section map)IHD provides the depth profile needed for fatigue crack initiation models; contour method validates the full stress distribution
Failure analysis — determine if residual stress caused premature failureXRD (at fracture origin on bore surface) + IHD (depth profile at the fracture location)SEM + metallography (to identify white layer, microcracks)XRD measures actual stress at the failure location; IHD provides depth profile to determine stress gradient; SEM identifies microstructural causes
Weld repair assessment — measure residual stress near a weld repair on a deep hole drilled componentXRD (surface) + IHD (depth profile at 1–5 mm from weld)Contour method (if part is expendable)Weld-induced stress adds to drilling-induced stress; both must be measured to determine total stress state
Acceptance testing of heat-treated components — verify stress relief effectivenessXRD (surface at bore entry, mid, exit)IHD (depth profile on one sample)XRD confirms surface stress reduction; IHD verifies that stress relief has penetrated through the work-hardened layer

FAQ

How does gun drilling produce compressive residual stress at the bore surface, and why is compressive stress beneficial for fatigue life?

Gun drilling produces compressive residual stress at the bore surface primarily through the mechanical burnishing action of the guide pads, combined with the shearing action of the cutting edge. The guide pads — which are fixed carbide pads on the gun drill body that bear against the bore wall under high contact pressure (500–2000 MPa) — plastically compress the bore surface as the drill rotates and advances. This plastic compression creates a layer of material that is in a compressed state (shorter than the underlying bulk material would be if unconstrained), which is balanced by compressive residual stress parallel to the bore surface. The cutting edge also contributes to compressive stress through the mechanical deformation of the surface layer during chip formation — the material in the primary shear zone is plastically deformed, and the elastic constraint of the underlying material forces the surface layer into compression when the cutting load is removed. The magnitude of the compressive stress is determined by the relative contributions of mechanical loading (which produces compression) and thermal loading (which can produce tension if the temperature is high enough to cause local thermal expansion that is subsequently constrained during cooling). When the mechanical loading dominates — as it does with a sharp tool, adequate coolant, and moderate cutting speed — the residual stress is compressive. When thermal loading dominates — worn tool, high speed, inadequate coolant — the residual stress switches to tensile.

Compressive residual stress is beneficial for fatigue life because it reduces the effective tensile stress experienced by the bore surface during cyclic loading. In a pressurised cylinder, the maximum tensile stress occurs at the bore surface (the tangential or hoop stress is maximum at the inner diameter). Compressive residual stress of −200 MPa at the bore surface subtracts from the applied tensile stress — if the applied hoop stress is +400 MPa, the effective stress at the bore surface is +200 MPa. This reduction in effective tensile stress delays fatigue crack initiation (cracks initiate more readily in tensile stress fields) and reduces the crack growth rate (crack growth is driven by the stress intensity factor range ΔK, which is proportional to the effective stress range at the crack tip). Quantitative fatigue testing shows that a compressive residual stress of −200 MPa at the bore surface increases the high-cycle fatigue life (at 10⁶ cycles) by 3–10× compared to a tensile residual stress of +100 MPa, all other factors being equal. The fatigue life improvement from compressive stress is most pronounced at low stress amplitudes (high-cycle fatigue regime) where crack initiation dominates the total life. At high stress amplitudes (low-cycle fatigue regime), the applied stress may exceed the compressive stress magnitude, causing the residual stress to relax by cyclic plasticity and reducing the fatigue benefit. This is why components designed for high-cycle fatigue (> 10⁶ cycles) — such as aircraft landing gear, hydraulic actuators, and pressure vessels — specify compressive residual stress at the bore surface as a design requirement, while low-cycle fatigue components (< 10⁴ cycles) rely more on bulk material strength and wall thickness than on surface residual stress.

What is the deep hole drilling (DHD) technique for residual stress measurement, and how does it differ from incremental hole drilling?

The deep hole drilling (DHD) technique — also called the reference hole method — is a residual stress measurement method specifically developed for measuring through-thickness residual stress in thick components, and it is particularly well-suited to deep hole drilled components such as tube sheets, pressure vessel walls, and thick-section forgings. The DHD technique involves four steps. A small reference hole (Ø1.5–5 mm) is gun-drilled through the full thickness of the component — this hole is drilled using a dedicated gun drilling machine with controlled parameters to produce a stress-free reference hole (the drilling process itself may introduce some stress, which is measured and subtracted as a correction). The reference hole diameter is measured at multiple angular positions (typically 8–12 positions around the circumference) and at multiple depths (0.5–5 mm increments) using a precision air probe (±0.5 µm resolution). A trepanning core (Ø10–20 mm) is cut around the reference hole using EDM wire cutting, which releases the residual stress in the core material. The reference hole diameter is re-measured after trepanning at the same angular positions and depths. The change in hole diameter before and after trepanning (Δd) is converted to residual stress using elastic theory: σ(z,θ) = −E · Δd(z,θ) / [d₀ · (1+ν)], where E is Young's modulus, ν is Poisson's ratio, d₀ is the reference hole diameter, and the stress is a function of depth z and angular position θ.

The DHD technique differs from incremental hole drilling (IHD) in several fundamental respects. DHD measures stress through the full thickness of the component (up to 300 mm), while IHD is limited to the near-surface region (typically < 2 mm depth). DHD provides the full stress tensor (axial, hoop, radial, and shear components) at multiple depths, while IHD provides the in-plane stress (axial and hoop) as a function of depth. DHD is fully destructive (the trepanned core removes a 10–20 mm diameter column of material from the component), while IHD is semi-destructive (it leaves a 0.8–2.0 mm diameter hole in the surface). DHD requires a dedicated gun drilling machine to drill the reference hole (the same equipment used for production deep hole drilling), while IHD uses a specialised drilling device (air turbine or electric spindle) that can be mounted on the component surface. The accuracy of DHD (±15–40 MPa) is comparable to IHD (±15–30 MPa) for near-surface measurements but becomes the only practical method for through-thickness measurements in thick sections. The DHD technique is particularly relevant to deep hole drilling because it uses the same gun drilling technology for the reference hole and measures stress in components that are manufactured by deep hole drilling — it is essentially a residual stress measurement method developed by and for the deep hole drilling industry. The technique was developed at the University of Bristol (UK) and is commercially available through VEQTER Ltd. It is used primarily in the nuclear power industry (for measuring residual stress in steam generator tube sheets and reactor pressure vessel nozzles), in aerospace (for landing gear and wing spar components), and in power generation (for turbine rotor and casing stress measurement). The cost of a DHD measurement is typically $3000–10 000 per measurement location (including reference hole drilling, air probe measurements, trepanning, and data reduction), making it a specialised method used for design validation and failure analysis rather than routine quality control.

What heat treatment processes are used to relieve or modify residual stress in deep hole drilled components?

Three heat treatment processes are used to relieve or modify residual stress in deep hole drilled components, each with different temperature ranges, mechanisms, and material constraints. Stress relief annealing is the most common method, performed at temperatures below the material's tempering temperature or ageing temperature to avoid altering the bulk mechanical properties. For low-alloy steels (AISI 4140, 4340), stress relief is performed at 500–650°C (below the tempering temperature of 550–650°C for typical quenched-and-tempered conditions) for 1–3 hours per 25 mm of section thickness, followed by slow cooling (50–100°C/h) to 300°C, then air cooling to room temperature. The mechanism is thermal activation of dislocation motion and recovery — at the stress relief temperature, the yield strength of the material is reduced to 30–50% of the room temperature value, and the residual stress (which is below the room temperature yield strength) may exceed the elevated temperature yield strength, causing plastic flow that reduces the stress magnitude. The residual stress reduction from stress relief annealing is typically 70–90% for properly executed cycles. The effectiveness is verified by XRD measurement before and after heat treatment: surface residual stress should be reduced to ±30 MPa or less for a fully effective stress relief. The limitation is thermal distortion — components with thin walls or asymmetric geometry may distort during stress relief due to the relaxation of asymmetric stress fields. For deep hole drilled components with wall thickness > 5 mm and length-to-diameter ratio < 20:1, thermal distortion during stress relief is typically within acceptable limits (< 0.02 mm bore diameter change).

Sub-zero (cryogenic) treatment is used primarily for tool steels and case-hardened steels where retained austenite transformation to martensite creates compressive stress. The component is cooled to −80 to −196°C (dry ice or liquid nitrogen), held for 1–4 hours, then slowly warmed to room temperature. The retained austenite → martensite transformation causes a 4% volume expansion that creates compressive stress in the transformed regions. This is not a stress relief process — it is a stress modification process that intentionally changes the stress state from tensile (from the retained austenite transformation during quenching) to compressive. The compressive stress improvement from cryogenic treatment for tool steel deep hole drilled components can be −100 to −300 MPa, providing fatigue life improvement of 2–5×. Low-temperature ageing or tempering is used for precipitation-hardened alloys (aluminium 2xxx/7xxx series, Inconel 718, 17-4 PH stainless) where the stress relief temperature must stay below the ageing temperature (120–200°C for aluminium, 480–620°C for Inconel 718, 480–620°C for 17-4 PH). The residual stress reduction from low-temperature ageing is typically 30–60% — less effective than full stress relief but necessary to preserve the precipitation-hardened condition. For components where heat treatment is not feasible — due to dimensional stability concerns, material constraints, or tolerance requirements — mechanical stress relief methods are used: vibration stress relief (applying cyclic loading at the component's natural frequency for 15–30 minutes, which causes dislocation rearrangement that reduces residual stress by 20–40%) and thermal cycling (cycling the component between 20°C and 100–200°C for 5–10 cycles, which causes thermal expansion/contraction cycles that reduce residual stress by 15–30%). Neither is as effective as thermal stress relief, but they can be performed at any point in the manufacturing process without risk of altering the material properties or causing thermal distortion.

What residual stress acceptance criteria should be specified for deep hole drilled components, and how should they be verified in production?

The residual stress acceptance criteria for deep hole drilled components depend on the component's service loading (stress amplitude, number of cycles), material, and the criticality of fatigue failure. For high-cycle fatigue applications (> 10⁶ cycles, or where the cyclic stress exceeds 30% of the material's ultimate tensile strength), the standard specification is compressive residual stress at the bore surface of at least −100 MPa (preferably −200 MPa or more compressive) in the hoop (circumferential) direction. The hoop stress is the most critical for pressurised cylinders and tubular components because the maximum tensile stress from internal pressure is in the hoop direction, and compressive hoop stress directly counteracts it. The acceptance criterion should specify: measurement method (XRD per ASTM E2860), number of measurement locations (minimum 3: bore entry, mid-depth, and bore exit, on each of 3 parts per production batch — 9 measurements total), and acceptance limit (surface residual stress −100 ± 50 MPa or more compressive). For low-cycle fatigue applications (< 10⁵ cycles) or components where fatigue is not the primary failure mode, the acceptance criterion can be relaxed to "no tensile residual stress" (surface stress < +50 MPa) — the specification is that the drilling process must not produce tensile stress, but achieving deep compressive stress is not required.

For critical safety components (aircraft landing gear, nuclear pressure vessels, medical implants), a more comprehensive verification is required: XRD surface measurement at 3–5 locations along the bore (including mid-depth, which may require a portable XRD instrument with a bore access fixture), plus IHD depth profiling (ASTM E837) on one representative component per production batch (or per process change) to verify that the compressive stress extends to at least 50 µm depth. The IHD depth profile acceptance criterion is: compressive stress of at least −100 MPa at the surface, remaining compressive to at least 100 µm depth, with no tensile stress at any depth in the measured profile. For components that undergo post-drilling stress relief heat treatment, the acceptance criterion is: residual stress at the bore surface < ±30 MPa (near zero, confirming effective stress relief), measured by XRD at 3 locations per component. The frequency of verification depends on process stability. For a mature drilling process with demonstrated capability (Cpk > 1.33 for residual stress), verification can be reduced to one XRD measurement per 100 components or per month, whichever is more frequent. For new processes, after tooling changes, or after process parameter changes, 100% verification of the first 3 components is recommended. The practical cost of residual stress verification is $50–200 per XRD measurement (in-house portable XRD) or $200–500 per measurement (outsourced laboratory XRD), and $500–1500 per IHD depth profile. For most deep hole drilling production operations, this adds 1–3% to the component cost — a small premium compared to the cost of a fatigue failure in service.


The information provided in this article is for general informational purposes only and does not constitute professional engineering advice. Always consult qualified materials engineers, NDT specialists, and heat treatment suppliers for specific residual stress measurement and control applications. Data and recommendations are based on published research and industry experience as of 2026.

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