Authors: Asdin Aoufi, Frank Montheillet, Christophe Desrayaud
Abstract: This paper is devoted to the numerical computation of a steady-state thermo-fluid modeling related to the Friction Stir Welding Process in a two-dimensional cylindrical geometry. It analyzes the efficiency of the implementation on parallel architectures of two finite-difference schemes on a structured grid. The first one applies the Newton-Raphson method to compute a numerical solution of this non-linear elliptic type equation, and uses an iterative sparse solver. The second one is based on a time-marching approach converging to the steady state solution thanks to a time-explicit computation. Their respective performance is presented and discussed. Some numerical simulation results are presented to validate the proposed approach.
109
Authors: Margaux Saint Jalme, Christophe Desrayaud, Julien Favre, Damien Fabrègue, Sylvain Dancette, Christophe Schuman, Jean Sébastien Lecomte, Etienne Archaud, Christian Dumont
Abstract: Subtransus multiaxial hot forging of α+β Ti-6Al-4V (TA6V) titanium alloy with a β-transformed microstructure aims at obtaining an equiaxed microstructure through α phase globularization. The activation of mechanisms involved in microstructural evolution, such as globularization, depends on parameters such as time, temperature, strain and strain rate. It is also sensitive to the crystallographic orientation of α-lamellae. As a result, multiaxial processing of titanium alloys leads to significant microstructural gradients depending on thermomechanical conditions and initial microstructure. In this study, we focused on the effect of complex thermomechanical paths on microstructural evolutions. Thanks to the MaxStrain Gleeble device, we were able to reproduce such thermomechanical treatments to β-transformed TA6V samples. Stress strain fields obtained with finite element modelling of the MaxStrain test were compared to experimental microstructure gradients. This experimental method offers the opportunity to get closer to industrial open die forging conditions.
1211
Authors: Christophe Desrayaud
Abstract: A simple three dimensional thermomechanical model for FSW is used in the present paper. It is developed from the model proposed by Heurtier [1] improved by Jacquin [10] to account for the eulerian cooling flux due to the tool motion during welding. The velocity fields used to describe the bulk flow around the tool are introduced in the particular derivative of the thermal equilibrium equation. The complete thermomechanical history of the material during the process can then be accessed by temperature and strain rate contours.
2943
Authors: O. Siret, Christophe Desrayaud, M.A. Tourabi
Abstract: Thanks to their oxide layer, aluminium alloys are remarkable for their ability to resist corrosion. However, in welding, this protective layer acts as a barrier which must be broken in order to succeed in the thermomechanical joining of aluminium.
The chosen alloy (6082-T6 or AlSi1MgMn) has been subjected to various deformation path. The first of them consists in the channel-die (plane strain) compression of two cuboids, one above the other. Considering the configuration of the test, the surface size between the two samples rises, so that the fragmentation of the oxide layer creates welding bonds. However, the friction effects in the channel lead to a heterogeneous deformation, so that the contact surface undergoes different behaviors: a microscopic study then shows that the welds appear in areas with significant shear.
Channel-die and uniaxial compressions of beveled samples confirm that more significantly than the global deformation, the shear strain is the most active phenomenon for achieving an effective thermomechanical joining.
Another approach is the cumulative deformation as a result of a cyclic load: a tube is cut through its section and undergoes both a compression and cyclic torsion load. The contact surface between the two semi-tubes is under a shear behavior and the combination between plastic deformation and local heating leads to a fragmentation of the oxide layer: all this factors allow the thermomechanical joining of aluminium alloys.
3716
Authors: D. Jacquin, Christophe Desrayaud, Frank Montheillet
Abstract: The thermo-mechanical simulation of Friction Stir Welding focuses the interest of the
welding scientific and technical community. However, literature reporting material flow modeling
is rather poor. The present work is based on the model developed by Heurtier [2004] and aims at
improving this thermo-fluid simulation developed by means of fluid mechanics numerical and
analytical velocity fields combined together. These various velocity fields are investigated
separately and especially according to the power dissipated during the flow. Boundary conditions
are considered through a new approach based on the kinematic analysis of the thread of the pin. An
equilibrium is established between the vertical motion of the bulk material dragged in the depth of
the metal sheet, and its partial circulation around the pin. The analyses of the obtained velocity
fields enable the understanding of the welded zone asymmetry and highlights the bulk material
mixing between the welded coupons in the depth of the sheet. A regression is performed on the
relative sliding velocity of the aluminium according to the surface of the tool: shoulder and pin.
Two dimension flow lines in the depth of the metal sheet are then obtained and successfully
compared with the results obtained by Colegrove (2004) [1].
3832
Authors: A. Colin, Christophe Desrayaud, Marie Mineur, Frank Montheillet
Abstract: The aim of this work is to study the flow instabilities occurring during hot forging of
titanium alloy blades. In this view, the viscoplastic deformation behaviour of Ti-6Al-4V alloy is
investigated by means of torsion tests under isothermal hot working conditions at temperatures
ranging from 800 to 1020 °C and strain rates of 0.01, 0.1 and 1s−1. The thermomechanical
processing is performed up to a true strain of 10.
The flow stress data are analysed in terms of strain rate and temperature sensitivities. A
constitutive equation that relates not only the dependence of the flow stress on strain, strain rate
and temperature, but also for the fraction of each phase α and β is proposed. Two mechanical
models are compared : the uniform strain rate model (Taylor) and the uniform plastic energy
model (IsoW). The usual strain rate sensitivity and activation energy values of Ti-6Al-4V alloy
are obtained by fitting the experimental data. Furthermore, specific values of strain rate
sensitivities and activation energies are calculated for the α and β phases providing thus a
constitutive law based on the physics of the α / β phase diagram. The flow stress is then related
to strain by an empirical equation taking into account the flow softening observed after a true
strain of 0.5 and the steady state flow reached after a true strain of 4. Comparison of the
calculated and measured flow stresses shows that the constitutive equation predicts the
experimental results with a reasonable accuracy.
The above constitutive equation is then used for simulating forging processes by the finite
element method. The calculations exhibit the localisation of deformation produced by shearing
effects in the form of the classical X shape.
3661
Authors: Frank Montheillet, S. Girard, Christophe Desrayaud, S. Lee Semiatin, J. Le Coze
Abstract: The present work deals with the influence of niobium in solid solution on the dynamic
recrystallization of pure nickel. High-purity nickel and two model nickel-niobium alloys were
deformed to large strains via torsion at temperatures between 800 and 1000°C. Niobium additions
considerably increased the flow stress, while they lowered the strain-rate sensitivity and increased
the apparent activation energy. EBSD of the steady-state microstructures revealed strong grain
refinement. Substructure development was favored, whereas thermal twinning was reduced by
niobium. More generally, discontinuous recrystallization kinetics were considerably decreased.
2966
Authors: S.M. Lim, Christophe Desrayaud, S. Girard, Frank Montheillet
Abstract: Thermomechanical processing involving severe plastic deformation (SPD) is a popular
approach to ultrafine grain formation in bulk samples. In the present study, two grades of highpurity
α-iron were deformed within the ferritic domain in cold and warm torsion to large strains (>>
1). Examination of the deformed samples using orientation imaging microscopy revealed a highly
fragmented, lamellar structure aligned almost parallel to the direction of shear. Between 37 and
54 % of boundaries detected are high angle ones (HAB). Some of these HAB are associated with
the original grain boundaries. However, a good number are believed to originate from dislocation
accumulation processes, during which the misorientation angle across certain strain-induced low
angle boundaries (LAB) rises with increasing strain. The resultant microstructure is composed of
ultrafine crystallites on the order of 1 – 2 1m. In fact, localised regions of equiaxed grains on the
micron scale were observed within samples deformed between room temperature and 300 °C.
Nonetheless, other areas remain relatively unfragmented despite persistent straining until failure. At
higher temperatures, the microstructure is more homogeneous, but the average grain size is
coarsened. Optimal grain refinement thus appears to be a compromise between several competing
factors: large strains at relatively low temperatures for high dislocation density, higher temperatures
to enable sufficient dynamic recovery, and low grain boundary mobility that is aided by low
temperatures and/or pinning by solute atoms or second phase particles. Furthermore, the
development of a torsion texture composed of a single ideal orientation at large strains is
unfavourable towards the generation of HAB.
2898
Authors: S.M. Lim, Mohamed El Wahabi, Christophe Desrayaud, Frank Montheillet
Abstract: Multiaxial compression (MAC) is a severe plastic deformation (SPD) method that allows
sequential uniaxial compression of prismatic samples to relatively large cumulative strains. The
technique involves a change in loading direction (x to y to z to x…) between successive
compression passes. A high-purity α-iron containing 60 mass ppm C was thus strained using passes
of ε ∼ 0.4 at room temperature (0.16 Tm) and 450 °C (0.40 Tm) to total ε ranging from 1.4 to 2.9.
Both optical and electron microscopy were used to characterise the deformed microstructures.
Fragmentation of the initial grain structure occurs mainly in the form of a dense, homogeneous
network of low angle boundaries (LAB) delimiting subgrains of about 1 3m. The original grains are
easily distinguishable and maintain a relatively equiaxed appearance even at larger strains. At room
temperature, high angle boundaries (HAB) are observed within some of the initial grains, and not
necessarily close to the grain boundaries. These HAB may be open or closed, and tend to align
themselves at approximately 45° to the orthogonal axes, suggesting the presence of microshear
bands and thus a heterogeneous deformation. Such bands of localised strain criss-cross as a result of
different slip systems being activated from one pass to another. When the temperature is increased
to 450 °C, grain boundary migration becomes significant owing to the lack of impurities that could
otherwise provide a pinning effect. The resultant subgrain structure is coarsened to about 4 3m.
Besides, the enhancement of recovery at higher temperatures also appears to discourage the
generation of HAB by dislocation accumulation processes.
900
Authors: P. Heurtier, M.J. Jones, Christophe Desrayaud, Julian H. Driver, Frank Montheillet
2927