1
1| Water jet
Waterjet Considerations Suffer Delamination in the first part of WJ drilling as water
Composite Materials:
enter between layers Because of this starting hole is done by mechanicall drilling. in this
case WJ cutting heads host a spindle to mount drills.
Requires to be drill at low preassure (i.e 70Mpa) to reduce WJ thriust force
Glass:
which is high on the first instants whjen the hole is blind. After drilling, preassure can
be increased to standar values 250MPa and more.
no particular problems but when drilling is long, diameter increase is expected
Metals:
due to water reflection in the blind hole condition.
intricate profiles since is not as fast as other ones in straight cuts.
Natural work field:
Marble, multilayyer glass, kevlar, stainless steel, and wood.
Pumps
Intensifiers
Increassing the number of pumps is iseful to increase water flow rate when one single
pump feeds multiple cutting heads.
Ultra High Pressure pumps exists on the market even if the relability is lower than the
"usual" 400MPa ones. Moreover they cost 3 times more. An interesting case can be the
600MPa that can be cost effective when drilling tens of hundreds of holes as the case
of tube sheets. The high pressure value cuts the drilling time dramatically making the
productivity of this operation economically interesting.
Autofretage 2
1| Water jet
Pure Water jet Cutting Head
More Coherents jets are obtained at lower diamiters, sharp orifices and lower pressures.
Small orifices produce longer coherent as they assure a lower reynolds number.
Abrasive Granulometry
Catcher
It is basically a pool under the waterjet table is used to catch debris and also since the
power jet force has to be calculated according to the surfaces roughness wanted (so more
than the power needed to just cut the piece) the pool of water actas as a damper for this
excess energy.
Pure Jet velocity of compressible fluid
The velocity coefficient is difficult to determine experimentally. Among the available
c v
techniques, Laser Doppler Velocimetry (LDV) is one of the most suitable methods because
it is non-intrusive and does not disturb the water jet. The natural irregularities of the
jet scatter the laser light produced by two intersecting laser beams, allowing accurate
velocity measurements.
The contraction coefficient cannot be measured directly. It is obtained indirectly from
c c
experimental measurements of the volumetric flow rate and the jet force.
The discharge coefficient is defined as the product of the velocity and contraction
c d
coefficients: c = c c
d v c
It relates the actual volumetric flow rate to the theoretical flow rate, which is given
Q
w
by the product of the nominal orifice cross-sectional area and the theoretical jet velocity.
The kinetic power of a waterjet can be calculated from the water mass flow rate and
m w
the jet velocity. The mass flow rate is obtained from the volumetric flow rate
m Q
w w
using the orifice coefficients.
The kinetic power of a pure waterjet can be expressed as a function of the nominal orifice
3
1| Water jet
diameter and the water pressure, taking into account the orifice coefficients, which depend
on both the orifice and the fluid. The nominal orifice diameter has a stronger influence
on the jet power than the pressure, since its exponent is whereas the pressure exponent
2,
is 1.5.
The derivative of the jet power with respect to pressure defines the hydraulic power
density. Water pressure is the only relevant jet parameter affecting the power density,
while the orifice cross-sectional area has a negligible influence, provided that the Bernoulli
assumptions hold (high upstream pressure and small nozzle diameter).
In waterjet cutting, the jet is an unconventional tool whose cutting capability depends on
power, force, and velocity. After leaving the orifice, the jet is no longer pressurized and its
pressure energy is converted into kinetic energy. Therefore, waterjet cutting effectiveness
is governed by jet velocity rather than pressure. The physical quantity that best describes
the cutting capability is the power density, i.e. the ability to concentrate power over a
small area.
Videos recorded using a transparent cutting head show the influence of air on waterjet
behavior. The focusing tube is mounted even without abrasive. When the abrasive inlet is
plugged, no air enters the mixing chamber and the jet remains more coherent, maintaining
its diameter over a longer distance. When the inlet is open, air is sucked into the chamber,
disturbing the jet surface and generating droplets, which may also cause abrasive clogging.
Although air strongly affects the jet periphery, it does not significantly alter the coherent
core. Therefore, the jet cutting capability is not strongly affected by air, but air reduces
jet stability in time and space, which is critical in high-precision cutting. For this reason,
air intake must be controlled.
The pressure difference governs air suction into the mixing chamber. If the abrasive
−p
p
a v
inlet is fully plugged, the air flow rate is zero and the vacuum inside the chamber
Q
air
is maximum. If the inlet is fully open, atmospheric pressure is established inside the
chamber and becomes zero. Intermediate conditions correspond to partial plugging
−p
p a v
of the inlet. Increasing water pressure increases air suction, shifting the operating curves
accordingly.
Air flow rate is proportional to the square root of air pressure, analogously to water
flow rate being proportional to the square root of water pressure. The hose diameter at
the abrasive inlet strongly affects . Larger hose diameters reduce flow restrictions,
Q air
increasing air flow, but excessive air reduces the Venturi effect and lowers abrasive particle
velocity, impairing abrasive transport. 4
1| Water jet
When abrasive is added, the jet behavior is analyzed using conservation of momentum.
Initially, air and abrasive have negligible velocity, while water flows at velocity Down-
v.
stream of the mixing process, water, air, and abrasive ideally reach a common velocity
, forming a multiphase abrasive jet. Air remains within the jet, representing up to
v abr
95% of its volume, and induces jet divergence after some distance, without significantly
reducing cutting capability.
The abrasive waterjet kinetic power is defined as the kinetic power of the mixed jet. Using
the loading ratio, the mixed jet velocity is found to be proportional to the theoretical
v
abr
water velocity and pressure. The abrasive waterjet kinetic power is proportional to
2 3/2
∝
P d p
kin n
which is the same dependence as for a pure waterjet. However, increasing the abrasive
mass flow rate reduces the kinetic power of the jet.
Material Interaction
The waterjet cutting process develops through three temporal stages, defining three cut-
ting zones. the jet initially interacts with the material and different cutting
Stage 1 (entry zone):
mechanisms develop until the maximum penetration depth is reached. A traverse distance
produces a penetration depth , dominated by erosion at small angles of impact
X h
1 1
(abrasion). Further penetration from to during traverse to is mainly due to
h h X X
1 2 1 2
erosion at large angles of impact. the cutting process becomes cyclic and continues until
Stage 2 (steady cutting zone):
the jet reaches the end of the plate. Penetration is fully developed when the total traverse
reaches , and further depth increase from to is controlled by erosion at large
X h h
3 2 3
angles of impact associated with jet upward deflection. This zone is responsible for the
roughness at the bottom of the kerf.
the cutting process ends and is characterized by sideways jet
Stage 3 (exit zone):
deflection, which produces an uncut tailing.
In steady cutting, the jet impacts the material surface at shallow angles, removing material
from the upper surface. As depth increases, particle deflection and velocity reduction
reduce the local removal rate, increasing interface curvature. Small steps are formed due
to jet traversal; these steps are removed by subsequent perpendicular impacts. Successive
5
1| Water jet
steps become larger with depth, and the jet deflection angle increases up to , after
◦
90
which a new cutting cycle begins.
For brittle materials, cutting mechanisms at large angles of attack (zones 2 and 3) domi-
nate penetration. For ductile materials, erosion at small angles of attack (zone 1) is the
primary mechanism governing depth of cut.
Quality parameters
AWJ cutting quality is commonly classified using the so-called which provide a
Q levels,
qualitative evaluation of the kerf surface finish. Most AWJ machine builders base their
process models on these quality levels.
corresponds to a separation cut, where the objective is only to separate parts, regard-
Q1
less of surface quality. represents the highest cutting quality, characterized by the
Q5
absence of striations and a smooth kerf surface, as described by the deformation wear
zone in Hashish’s model.
Although the Q levels provide a qualitative description, they are effective in industrial
practice. High quality levels (e.g. are also associated with good kerf quality parame-
Q5)
ters such as reduced edge rounding and absence of burrs, even though these aspects are
not explicitly included in the Q-level definition.
Machine builders use the required Q level as an input from the user and automatically
select the appropriate process parameters for a given material and thickness. 6
2| Introduction to Advance
flexible sheet forming process
Trends in sheet and tube metals for automotive
The automotive industry is driven by demographic, regulatory and competitive pressure
leading to:
• Electrification and co2 regulations
• Weight reduction and anergy efficiency
• Global platforms needed fot material and process flexibility
• Competition for new technologies (Gigacasting, composites,etc.)
OEMs are converging towards multi-material strategies where specific stiffness is more
relevant than absolute weight. in material selection we must consider: Structural in-
tegration, manufacturability, Recycling and energy consumption, cost vs per-
formance trade offs
Conventional Deep Drawing and stamping
Conventional metal tools are wideley used and they are the only possible selection in
most applications, Metals tools are very stiff hence provide a very good precision and
repeatability of the sheets and tube metal parts other thing is they are durable and in
some applications wear is so small that doesn’t represent a concern.
The drawbacks are related to the high prices of the machine itself and the long production
time needed. Conventional rigid tools are meant for medium to large production batches
cause they have long durability. of course is difficult to make minor changes to the part
7
2| Introduction to Advance flexible sheet forming process
design and difficult to repair.
• Expensive for small sized batches of complex geometry
• Induce defects such as scratches, striation or local stress
• difficult to use on low ductility materials (High strength steel, hs Al alloys, Ti alloys
and Mg Alloys) if complex geometry required (Small corner radius, large drawing
ratios)
• Difficult on materials with high spring-back if large radius and thickness required.
Formability and Forming Limit Diagram
Formability can be defined as the capability of a sheet metal forming solution with large
deformation and without defects (Thinning, necking, fracture, thickening,buckling,wrinkling)
Biaxial Stretching→ Fracture occurs earlier.
Plane Strain→ Lowest Forming limit.
Deep drawing with draw in→ Higher formability.
FLDs are obtained experimentally (Etched grids) or via FEM.
Spring-back problem
Elastic recovery after unloading, common to almost all flexible processes. Characteristic
problem is an increase in the radius with an angle decrease after unloading. Strongly
affected by Young modulus (-E = +SB) Hardening coefficient K ratio / thickness
ρ
Equation of spring back angle is not very aqua rate since pure bending does not occurs
in real processes but it explains well the factors that influence the spring-back.
Rationale For advance and flexible processes
To overcome the difficult of rigid tools in case of small batch productions of complex
geometry there is the option for flexible forming processes.
• Tools made out of hard plastic (Thermosetting if ma-
Semi rigid Rapid tools:
chined or thermoplastic if are 3D) Can be rapidly produce and do not require thermal
or surface treatment nor grinding operation. 8
2| Introduction to Advance flexible sheet forming process
• The tool is compliant as in rubber pad forming or fluid forming
Soft flex tool:
(Hydro-forming). in this case 1 tool is replaced by flexible medium like rubber or
water and the shaping is provided by a regular rigid tool
Classification of processes
semi rigid Rapid Tools
Basically Rapid Tools replace conventional tools almost with the same category.
PA, PC, PEI (Ultem) im thermoplastics category or thermoset Pu OR 3D
Materials:
printed ABS or GFPC
Reduce cost and lead time, nos scratching and suitable for small batches.
Advantages: Lower stiffness that lead to tool deflection, limited durability and FEM
Limitations:
based compensation algorithms related to predict their deflection and compensate their
shape.
Indirect Rapid Tool is preferable, obtained by Additive manufacturing or machining be-
cause od their shorter and simpler production cycle SLA,SLS/SLM, EAM are AM and
SLS sintering reinforced plastics ex. copper reinforced polyamide where copper provides
heat transfer properties.
Compliant Tools
Is used in sheet metal forming. The key aspect is that rubber tools for bending acts as a
flexible confirming medium that distributes pressure more evenly over the materials.
Adapt to a range of geometries without need for custom hard dies for every
Benefits:
shape. The holes in the dies increase the adaptability to different geometries so we
can introduce stiffens bars to control the required stiffness. Surface protection and cost
effective. poor control over small radius and higher spring-back.
Limitations: Shore Hardness A to D and nearly incompressible v = 0.5
Key rubber properties:
Fluid forming Processes
Fluid can act as Punch (higher pressure) or Die (Lower pressure) 9
2| Introduction to Advance flexible sheet forming process
Role of fluid, in or dependent blank-holding, presence of mem-
Classification Criteria:
brane, temperature (Cold, Warm or Hot) and blank type(Sheet or tube)
Fluid replace punch, sealing and blank-holding are coupled,
Sheet hydro-forming:
leads to biaxial stretching and needs very high pres force (Several Thousands of kN).
Uses a rubber membrane for sealing, blank-holding independent, alloys
Flex-forming:
undercuts and limited formability and large radius only. Use for low deformation and
big radius are required Fluid Die + Solid punch, allows pre bulging (used
Hydro-mechanical Deep Drawing
only for low deep drawing or non complex parts), reduces spring-back but still limited by
sealing and pressure control
Super Plastic Gas Forming
Widely used in automotive and aerospace engineering to shape complex and lightweight
aluminum alloy parts particularly body panels. 450-550 degrees, gas pres-
Conditions:
sure 0.5 - 5 Mpa and very low strain rates.
Complex shapes, no spring back, excellent surface quality, thin and lightweight
Benefits:
parts. long cycle times, high cost, large scrap, low volume high end vehicles.
Limitations:
CNC Dieless forming - Air Bending
Air bending is the best example of nearly dieless forming.
Simple shape that allows to produce different shapes by increasing or decreasing the punch
stroke. the angle vs stoke is the key to success while machines have a software to estimate
by hand final adjustments are needed to obtain the desire bending angle.
This process is less precise, less repeatable but much more flexible and lower bending
forces are required than bottom bending.
Good on small bending radius.
Hot Stamping
Used for ultra high strength steels heat to 850 (Austenite), Stamping in cooled
Process:
dies, Quenching (Martensite) Ys up to 1200, almost zero spring back and very
Effects:
high dimensional accuracy. 10
2| Introduction to Advance flexible sheet forming process
Direct (Al-Si coating) and Indirect(Preforming before heating)
Variants:
Pros: high strength,reduce spring back, lighter structural parts Cons:Complex
dies with cooling, slow press speed, limited post forming operations, laser cutting often
required 11
3| CNC Tube bending
Tubular components are widely use in automotive applications because closed cross section
tubes provide a very high stiffness to weight ratio.
• Structural parts (Engine cradles, chassis, frames, torsion bars)
• Exhaust systems
• Fluid Carrying lines
• Emerging lightweight structures
Pre-forming before hydro-forming
Tube hydro-forming is very effective for expansion and calibration but not for generating
sever bends. thus pre forming is required when:
• Tight radius are needed
• Geometry include multiple bends
most common pre-forming i
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