Welding & Joining

Welding distortion simulation for large fabrications, from weld sequence to pre-set

A girder leaves the welding bay bowed, and the question for the next unit is which seam to weld first, from which end, and how far to pre-set the parts. A moving-source weld model calibrates fast inherent-strain assembly models, and a surrogate ranks the weld sequences.

Welder in protective gear arc welding a seam inside a large cylindrical steel shell, with a stream of sparks across the curved wall
Arc welding a seam inside a large cylindrical steel shell.

Welding distortion simulation predicts how far a fabricated structure shrinks, bows and twists as its arc welds cool, so weld sequence, fixtures and pre-set are chosen on a screen, not in the bay. We build it for large GMAW, GTAW and SAW structures: a calibrated moving-source weld model, fast assembly models and a surrogate that ranks weld sequences, on the solver you already use.

The first girder of a new design leaves the welding bay bowed, its end plates out of square with the next section. The straightening crew is booked and the jig needs a redesign. The question for the second unit has no answer on any drawing: which seam goes first, from which end, and how far should the parts be pre-set? Full-size trials answer it slowly, one assembly at a time.

What does welding distortion simulation have to predict?

The result that matters is the shape of the finished assembly at its interfaces: the gap at the next joint, the straightness of a girder, the flatness of a panel. Welding shrinks a structure across the joint and along it, and because contraction is not uniform through the thickness the parts also rotate, which is angular distortion.

The cause is a hot, narrow zone held by a cold, stiff surround. TWI notes that in CMn steel the molten weld metal loses about 3% of its volume on solidification and the solidified weld metal and heat-affected zone a further 7% as they cool to room temperature, and that stress above yield leaves permanent plastic deformation. What remains is a band of plastic strain around each seam, and the rest of the structure responds to it elastically.

Acceptance is a tolerance on the drawing. ISO 13920:2023 gives general tolerances for linear and angular dimensions and for shape and position of welded structures in four classes, and the tolerances that apply are those stated on the drawing. The model gives a predicted deviation at each interface to set beside them.

Why is arc weld distortion so hard to calculate?

Three problems share one model. The first is the moving source. Arc power into the work is Q = ηVI, with efficiency η, voltage V and current I, and heat input per unit length is Q/v at travel speed v. It lands over a volume, not a point: the standard description is the double-ellipsoid source of Goldak, Chakravarti and Bibby, in a frame moving with the arc, where x is across the weld, y is depth into the plate and ξ is distance ahead of the arc:

qf = 6√3 ff Q / (π√π a b cf) · exp[−3x²/a² − 3y²/b² − 3ξ²/cf²] for ξ ≥ 0, and the same with fr and cr behind the arc, with ff + fr = 2. The lengths a, b, cf and cr are not material properties. They are calibrated until the computed fusion line matches a macrograph of the real weld, so each process, joint and parameter set needs its own.

The second is the filler. The model starts with the groove elements inactive and activates them as the source reaches them. The third is material behaviour that depends on temperature and, in steels, on phase: yield strength falls on heating and recovers on cooling, and the transformation of austenite changes volume and strength, which sets the residual stress that remains. In a V joint the second run rotates the plates about the first deposit, as TWI describes.

A moving arc, its double-ellipsoid heat source, the activated filler elements and the strain left in the weld zone that rotates the plates A qualitative drawing in three parts. At top left, a side view along a weld: a torch moves to the right over a plate with a row of groove elements. The elements behind the arc are solid because they have been activated, the element at the arc is the weld pool, and the elements ahead are dashed outlines because they are not yet active. Below the arc a bowl-shaped double-ellipsoid heat source is shorter ahead of the arc than behind it, with its lengths marked, and nested dashed temperature contours trail behind. At top right, a cross-section of a butt joint after cooling: shrinkage arrows pull inward at the top, the two plates have rotated so their outer edges rise above the dashed outline of the original flat position, and a dashed ellipse marks the zone of plastic strain around the weld. Along the bottom, four boxes joined by flowing arrows show the coupled chain, a heat source drives a thermal solution, which drives phase transformation, which drives the mechanical result, run once per pass or per group of lumped passes. The drawing teaches that the moving source and filler activation create a thermal cycle, and that the plastic strain left in a narrow zone is what shrinks and rotates the structure. No values are shown. SIDE VIEW ALONG THE WELD SECTION AFTER COOLING TEMPERATURE FIELD 3 v q b cr cf 1 ACTIVATED NOT YET ACTIVE 2 ANGULAR DISTORTION 5 PLASTIC STRAIN ZONE 6 HEAT SOURCE q(x, y, ξ) THERMAL T(x, t) METALLURGICAL phases MECHANICAL σ, ε ONE CHAIN PER PASS, OR PER LUMPED GROUP OF PASSES 4
  1. Moving heat source. The arc delivers a power Q = ηVI that travels along the joint at speed v. The model spreads it over a double-ellipsoid volume, shorter ahead of the arc than behind it. The lengths of that volume are calibrated until the computed fusion line matches a macrograph of the real weld.
  2. Filler by element activation. The groove is meshed from the start with its elements switched off. As the source reaches each one it is activated, so weld metal joins the model behind the arc as the real filler does, and the elements ahead of it stay out of the calculation.
  3. Trailing temperature field. Heat flows into the plate and leaves a hot band that is long behind the arc and steep ahead of it. Every point passes through a thermal cycle of heating, peak temperature and cooling, and that cycle sets how much plastic strain stays behind.
  4. Thermal, metallurgical, mechanical. The temperature history drives the phase transformations in the steel, which change volume and strength, and both feed the stress calculation. The chain runs once per pass, or once per group of passes that the validation record shows can be lumped.
  5. Shrinkage and angular distortion. The weld metal and the metal beside it contract on cooling against the cold plate around them. The contraction is not uniform through the thickness, so the plates rotate toward the weld side, which is angular distortion, and the joint also shortens across and along the seam.
  6. Strain left in the weld zone. What stays after cooling is plastic strain in a band around the seam. This is the strain that a fast assembly model carries in place of the moving source, which is why it has to be calibrated against the detailed joint model or a measurement.
A moving arc, its double-ellipsoid heat input and the strain left in the weld zone after cooling. Illustrative schematic.

How are large welded structures usually handled, and where does that break?

Mostly by experience. TWI gives a rule of thumb for shrinkage allowances and calls the amount almost impossible to predict accurately. TWI on pre-setting and restraint says the same of pre-setting: a number of trial welds will be required, so it suits simple assemblies. Restraint is more widely practised, but it adds residual stress that can crack susceptible materials, and the part still moves a little when it leaves the fixture.

Calculation has its limit too. A moving-source thermal elastic-plastic analysis of every pass is physically complete, but Murakami and co-authors in ISIJ International note that it is not always realistic for production sites and design departments, given the calculation time on large structures such as ships and construction machinery. The shortcut is the inherent strain method and its thermal shrinkage variant: apply the strain left by each weld to a model of the whole assembly, at extremely short calculation time. In the thermal shrinkage form that strain is ε = −αΔT inside a zone around the weld. The catch is the input: the same paper states that a shrinkage strain is needed for each welding condition and each joint, and that setting it is arbitrary. An uncalibrated shortcut is a guess that runs fast. Our article on metal additive manufacturing distortion covers the same idea for layered builds.

Sequence is the third limit. TWI recommends welding towards the free end of the joint, with short back-step or skip runs on long welds. An assembly of r seams, each weldable in either direction, has r! × 2r orders. Eight seams give 10,321,920, the example Wu and Kim use in their review of FEM-based distortion mitigation, where a genetic algorithm is the most common search and thousands of thermo-elastic-plastic cases make computation time the obstacle.

Orange welding robots arranged along a line of car body shells, with sparks at the seams
Welding robots along a car-body line, each torch following a programmed seam order.
Which welding question needs which model
QuestionModelWhat it hands onDecision it supports
How does this joint shrink and rotate?Moving-source thermal-metallurgical-mechanical model of a representative jointCalibrated heat source and the strain each seam leavesWhich seams need their own calibration
What shape does the whole assembly take?Inherent-strain or thermal-shrinkage model of the full assemblyDistortion at each interface, seam by seamWhether the drawing tolerance is met, and which seam drives a miss
Which weld sequence and direction?Assembly model over a designed set of orders, ranked by a surrogateRanked orders with a stated rangeThe order to try first
How should it be clamped and set?Assembly model with clamp contact and release stepsPre-set shape, clamp layout, release order, springbackFixture changes before the jig is cut
What stress is left in a critical joint?Full moving-source model of that joint, refined locallyResidual stress at weld toe and rootInput to your fatigue or fracture assessment

How do you build a weld model your engineers can trust?

We split the problem the way the table does. On a representative joint we build the full model in LS-DYNA, Ansys, Abaqus or your existing thermal-structural solver: source, element activation, temperature- and phase-dependent properties, and the passes as you weld them, lumped into one step only where the validation record shows it holds. The thermal result is verified first, fusion line against the macrograph and heat balance against ηVI/v, then mesh and time-step convergence, then the measured distortion of a test piece. The strain each seam leaves goes into a library that the assembly model reads. Our arc welding and welding simulation pages set the wider context.

Uncertainty is stated, not hidden. Arc efficiency, heat-source lengths, high-temperature material data, fit-up and restraint all move the answer, so we sweep them and report distortion as a range with its assumptions. Residual stress from a critical joint then passes to your fatigue life assessment with its range.

The same weld seams in two orders give two shapes, a seam library and a surrogate rank the orders, and pre-set and clamp release set the starting and released shape A qualitative drawing in four parts. At top left, two side views of the same long panel with four stiffener welds. Each stiffener carries a numbered badge for the order in which it is welded: order A runs left to right and the panel sags in a deep curve, order B welds the seams in an interleaved order and the panel takes a gentler S-shape, both drawn against a dashed flat reference. At right, a vertical chain of four boxes joined by flowing arrows: a seam library of strain per seam type, an assembly model of all seams and clamps, a surrogate that ranks every order, and a full model check of the top few orders, with a dashed return path from the check back to the seam library for recalibration. At bottom left, two small panels: in the first a dashed arched pre-set shape is pulled flat by weld shrinkage, shown by a downward arrow to a solid flat line; in the second a flat clamped panel with clamps at both ends is released and a dashed curve shows the small movement as locked-in stress relaxes. The drawing teaches that weld order changes the final shape, that a library of calibrated seam strains lets a fast model and a surrogate search the orders, and that pre-set and clamp release are part of the same model. No values are shown. SAME SEAMS, TWO WELD ORDERS 1 2 3 4 ORDER A 2 4 1 3 ORDER B 1 seam librarystrain per seam type assembly modelall seams, clamps 2 surrogateranks every order 3 full model checktop few, recalibrate 4 PRE-SET WELD PULLS IT FLAT 5 CLAMP RELEASE LOCKED-IN STRESS RELAXES 6
  1. Same seams, different order. Each seam leaves its own shrinkage and is welded onto a structure that earlier seams have already stiffened and pulled. Order and direction therefore change the final shape, not only its size, and the model compares orders on the interface distortion your drawing tolerances care about.
  2. Seam library and assembly model. The strain each seam type leaves comes from a calibrated joint model and is stored once. The assembly model applies it seam by seam, in the chosen order, to the whole structure with its clamps, in a calculation fast enough to run for many orders.
  3. Surrogate over sequences. A surrogate trained on a designed set of assembly runs predicts distortion at the interface points for any order and direction inside its stated range, so a search over millions of orders runs on it and not on the solver.
  4. Full-model check and recalibration. The best few orders go back to the full model for confirmation. When a first article is measured, the difference feeds back into the seam library, and a request outside the surrogate's range goes to the full model instead.
  5. Pre-set. Where distortion is consistent, parts can be set the opposite way so that the shrinkage of the welds pulls them into the correct shape. The model proposes the pre-set shape and a trial assembly confirms it.
  6. Clamp release. Clamps hold the shape during welding, but the stress they lock in relaxes when the part leaves the fixture and it moves a little. The assembly model includes the release step, so the released shape is predicted and not discovered at unclamping.
Weld order changes the shape, a seam library and a surrogate rank the orders, and pre-set and clamp release set the starting shape. Illustrative schematic.

Where does AI help weld sequence optimisation, and where does it not?

  • Sequence ranking. A designed set of orders runs through the assembly model, and a surrogate trained on those runs predicts interface distortion for any order. The search over millions of orders runs on the surrogate, and only the best few return to the full model.
  • Calibration. Fitting heat-source lengths and shrinkage inputs to the measured fusion line and distortion is an inverse problem that automated fitting makes repeatable.
  • Run triage. Checks reject non-converged or energy-unbalanced runs before they reach the training set.

It does not replace the physics. A surrogate predicts only inside the joint types, grades and process window it was trained on, inherits the errors of the model behind it, and cannot tell that a new consumable or joint preparation changed the answer, so each carries a stated range. Wu and Kim recommend inherent-strain models as the fast inner model for AI-driven optimisation, since thousands of full runs cost too much. See AI surrogate models you can validate.

A distortion prediction is not a qualification

A predicted distortion or residual stress is an estimate that depends on material data, calibration, and the fit-up and restraint achieved on the day. Simulation does not replace welding procedure qualification, welder or process qualification, non-destructive testing, mechanical testing, or the code compliance and sign-off an inspection body, authority or customer requires. Nothing we build certifies, approves or qualifies a weld or structure, and no result guarantees an assembly free of distortion, cracks or defects. Acceptance of virtual evidence is agreed with your authority, inspection body or programme.

From one distorted assembly to a distortion-control workflow you keep

The return comes when the next assembly, sequence or fixture revision runs through the same chain without a new model or new full-size trials.

From one simulation study to a permanent workflow A loop of six steps: physics model, validation, automated runs, AI surrogate, decision tool and field data, which feeds back into the physics model. YOUR WORKFLOW Better with every run physics + data + AI, kept in-house 1Physics model 2Validation 3Automated runs 4AI surrogate 5Decision tool 6Field data CFD · FEA TESTS · TRIALS DOE · HPC CLOUD OPTIMISE DECIDE MONITOR RECALIBRATE
  1. Physics model. CFD and FEA set up once, as templates: geometry clean-up, mesh, solver settings and post-processing that every later run reuses.
  2. Validation. Mesh and time-step studies, and comparison with tests or full-scale data, so the model's uncertainty is known before it is trusted.
  3. Automated runs. Scripted runs over the parameters and operating conditions that matter, on your hardware or in the cloud.
  4. AI surrogate. A machine-learning model trained on those runs answers in seconds and says how sure it is; low-confidence questions go back to the solver.
  5. Decision tool. Optimisation, trade-off charts or operating guidance, in a form your engineers and operators use every day.
  6. Field data. Test, trial and monitoring data flow back to recalibrate the model, so it improves with every project instead of being rebuilt.
Physics, validation, automation and AI in one loop that improves with every run. Illustrative schematic.
  • A seam library of calibrated heat-source and strain inputs per joint type, process, consumable and material, each with the measurement it was checked against and its pass-lumping rule.
  • A weld-plan template in your existing solver that reads your weld list and takes sequence, direction and clamp steps as input, so a new sequence is a line in a file.
  • A sequence study runner that executes the designed orders on your hardware, rejects failed runs and collects distortion at the interface points.
  • A surrogate with a stated range and a gate: anything outside its joint types, grades and process window goes to the full model.
  • A validation record against your first article, with tolerances written before the run and every model update logged.
  • Handover and training, so your team adds seams itself. See our training and software development services.

Questions engineers ask about welding distortion simulation

What is the inherent strain method in welding simulation?
It applies the strain a weld leaves behind after cooling, mainly plastic strain, as an initial load on a model of the whole structure, so no moving heat source runs for the assembly. The strain for each seam type comes from a detailed joint model or measurement and has to be calibrated.
Does the welding sequence change distortion?
Yes. TWI states that the sequence and direction of welding are important and recommends welding towards the free end of the joint. How much the order matters on your assembly is what the model quantifies.
How accurate is welding distortion simulation?
It depends on material data, heat-source calibration, fit-up and restraint, so we quote no general figure. We state the agreement against your measured first article and the inputs it covers.
Can simulation replace welding procedure qualification or inspection?
No. Simulation supports decisions on sequence, fixtures and pre-set. Qualification, testing and inspection stay as your code and authority require.

If a weld sequence, fixture or pre-set is waiting on a distortion answer, send us the weld list (seams, process, passes, consumable, material), the drawing with its interface tolerances, your current sequence and fixture arrangement, and measured deviations of one finished assembly if you have them. We reply with how we would split the joint model from the assembly model, which seams to calibrate first, and what the validation record should hold. Start with a conversation.

OLTRION Engineering

CAE, CFD and simulation team

The OLTRION engineering team runs CFD, FEA and multiphysics simulation programmes for aerospace, automotive, energy and industrial clients, and builds the machine-learning tools that speed them up. These articles come from that project work.

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