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2000, International Journal of Plasticity
The¯ow of hot aluminium in channels is investigated. The constitutive relation considered for the¯ow stress is the inverse hyperbolic sine function of the Zener±Hollomon parameter. Analytical solutions for the¯ow are derived. At high strain rates, an exponential velocity pro®le close to the channel walls is predicted indicating the existence of a thin shear boundary layer characterized by strong shear. The characteristic length scale for the exponential velocity pro®le is a function of material parameters in the constitutive relation and the inverse of the local pressure gradient. The analytical prediction of a thin shear boundary layer close to the channel walls for large strain rates is consistent with the observed microstructure in an extruded section.
Materials Science Forum, 2006
Two recent methods for obtaining flow stress-strain relations up to large strains of order 1.5 by channel-die compression are presented: i) for sheet metal formability tests, composite samples have been made of glued sheet layers and deformed at room temperature in a channel-die with the compression axis directed along one of the sheet metal edge directions, i.e. RD or TD. The sheet plane is parallel to the lateral compression die face. It is shown that, using a suitable lubricant, the sample deformation is homogeneous up to strains of 1.5. Tests carried out on 5xxx and 6xxx alloys to evaluate the stress-strain relations show that a generalized Voce law gives a good quantitative fit for the data. ii) for high temperature plate processing, quantitative flow stress data can be obtained up to 500°C with a rapid quench using a hot channel-die set-up. Some new results are presented here for high strain hot PSC tests on Al-Mn and Al-Mg alloys together with microstructure analyses.
Materials Science and Engineering: A, 2012
In order to study the workability of Ti-6Al-4V alloy, the experimental stress-strain data from isothermal hot compression tests, in a wide range of temperatures (800-1050 °C) and strain rates (0.0005-1 s À1 ), were used to develop the constitutive equation of different phase regimes (a + b and b phase). The effects of temperature and strain rate on deformation behaviors a represented by Zener-Holloman parameter in an exponent-type equation. The influence of strain was incorporated in constitutive analysis by considering the effect of strain on material constants. Correlation coefficient (R) and average absolute relative error (AARE) were introduced to verify the validity of the constitutive equation. The values of R and AARE were 0.997% and 9.057% respectively, which indicated that the developed constitutive equation (considering the compensation of strain) could predict flow stress of Ti-6Al-4V alloy with good correlation and generalization.
International Journal of Latest Research in Engineering and Technology, 2017
The simulation of hot extrusion processes is a difficult and challenging problem in process modelling. This is due to very large deformations, high strain rates and large temperature changes during the process. Computer models that with sufficient accuracy can describe the material behavior during extrusion can be very useful in process and product development. Main purpose is to investigate the influence of offset pocket design on metal flow behavior in hot aluminium extrusion of T-C-channel shaped profiles. A series of finite element simulations are doing by offsetting the centre of pocket cross-section and examining exit velocity distributions, temperature, displacement of the profiles cross-section for each case. CATIA V5 R20 software is used to create the models and analysis is performed in DEFORM3D software. Finally optimum model have to prepare with maintain constant velocity.
Scripta Metallurgica et Materialia, 1993
AI-Mg-Si alloys are commonly used for hot extrusion of shapes and are known to normally possess good exmidability. However, with the high extrusion rates required for high productivity their extrudability depends critically on details of chemical composition, casting practice and homogenisation treatment which together determine the precipitate microstructure of the billet prior to extrusion.
Metals, 2016
The most important difficulties when the behaviour of a part that is subjected to external mechanical forces is simulated deal with the determination of both the material thermo-mechanical properties and its boundary conditions. The accuracy of the results obtained from the simulation is directly related to the knowledge of the flow stress curve. Therefore, the determination of a material flow rule which is valid for both a wide temperature range and different initial deformation conditions in the starting material presents a great deal of interest when simulation results close to the experimental values are required to be obtained. In this present study, a novel flow stress curve is proposed that is able to accurately predict the behaviour of both materials with no previous accumulated strain and materials that have been previously subjected to severe plastic deformation processes. Moreover, it is possible to use it both for hot and cold working. The results are analysed in a wide test temperature range, which varies from room temperature to 300 • C, and from material previously processed by angular channel extrusion or with no previous strain accumulated. It is shown that the flow rule proposed is effective to model the material behaviour in a wide temperature range and it makes it possible to take the recrystallization phenomena that appear in previously deformed materials into account. In addition, the results obtained are compared with those predicted by other flow rules that exist in the prior literature. Furthermore, the study is complemented with finite element simulations and with a comparison between simulation and experimental results.
Materials Science and Engineering: A, 2014
Flow behaviour of a Nickel Aluminium Bronze (NAB) alloy under hot compressive deformation was investigated using a deformation dilatometer. Temperatures of 1023, 1073, 1123 and 1173 K and strain rates of 0.1, 1.0 and 10 s À 1 were used as the forming parameters. The experimental results showed that true stress-strain curves of the alloy exhibited dynamic recovery and dynamic recrystallisation with single-peak stress. Dynamic recovery was dominant at higher temperature and lower strain rate. The peak stress increased as the strain rate and temperature increased. The peak strain also increased with increasing strain rate. However, it was independent of temperature. The flow curves can be represented by the hyperbolic-sine law Arrhenius equation with activation energy of 514.25 kJ/mol. Comparisons between predicted flow stresses and experimentally determined results showed that the developed constitutive models were sufficiently accurate to demonstrate flow behaviour at high temperatures of the NAB alloy. This was supported by a correlation coefficient R of 0.981 and an average relative error of 13.42% for the particular test conditions. Dynamic material modelling approach has been used to describe flow stability/instability. For the NAB alloy, the criterion of the strain rate sensitivity, the criterion with regard to the variation of strain rate sensitivity with log _ ε and the criterion of the temperature sensitivity were always satisfied. The critical criterion is the rate of change of the temperature sensitivity with respect to log _ ε.
A common tool used to demonstrate the phenomenon of movement of liquids through thin channels is the capillary tube. When the lower end of the tube is placed vertically in a liquid (such as water), it forms a concave film. Surface tension pulls the liquid column up until there is a sufficient mass of liquid for gravitational forces to overcome intermolecular forces. The contact length (around the edge) between the top of the liquid column and the tube is proportional to the diameter of the tube, while the weight of the liquid column is proportional to the square of the tube's diameter, so a narrow tube will draw a liquid column higher than a wide tube. This paper wants to bring theoretical arguments to the possible flowing limits for alloys through thin channels.
AIP Conference Proceedings, 2012
High-temperature, pressure-shear plate impact experiments have been conducted to investigate rate-controlling mechanisms for plastic deformation of high-purity aluminum at high strain rates (10 6 s-1) and at temperatures approaching melt. The objective of these experiments was to look for a possible change in the rate-controlling mechanism of dislocation motion from thermally activated motion of dislocations past obstacles to phonon drag as the temperatures become high enough that thermal activation becomes relatively unimportant. The experimental results show an upturn in shearing resistance with increasing temperature at high temperatures, suggestive of a change in ratecontrolling mechanism. However, the upturn is too steep to be described by a usual phonon drag model with a drag coefficient that is proportional to temperature. Simulated results show that the modeling of strain rate hardening based on a phonon drag model leads to too strong an increase in flow stress with increasing strain rate in the drag-dominated regime.
Journal of Hydraulic Engineering, 2004
A semianalytical model was developed to predict boundary shear distribution in straight, noncircular ducts and open channels. The model was developed using a simplified streamwise vorticity equation, which involves only secondary Reynolds stress terms. These terms are representative of transverse turbulence anisotropy and nonhomogeneity. Transverse anisotropy is modeled using a universal function. Shear stresses are incorporated into the model by applying the momentum transfer model. An empirical model was employed to calculate the effect of the channel boundary on shear stresses. The final equation was applied to calculate boundary shear distribution in triangular ducts and trapezoidal open channels. The model predictions were well correlated with experimental data.
Journal of Mechanical Engineering and Sciences, 2021
Three dimensional fluid-thermal-structure multiphysics interaction simulation model of aluminium extrusion process has been simulated and presented in this paper. This multiphysics complex geometrical engineering process is simulated effectively using computational fluid dynamics (CFD) simulation with very high accuracy, where the aluminium material is treated as a fluid that has a very high viscosity which depends on temperature and velocity. When aluminium moving, the inner friction will work as a heat source, therefore the model of the heat transfer is completely coupled together with those governing model of the fluid dynamics. Material properties come into a viscosity function that can be related to the flow stress locally depending on forming velocity and temperature. In addition, the stresses distribution in the die that introduces due to the fluid pressure and the thermal loads has been modelled by fully coupled the simulation model with the structural mechanic's analysis. Fully three-dimensional results during the process of the temperature distribution, velocity profile, von Mises stress distribution, total displacement and deflection distribution, equivalent volumetric strain distribution, and pressure distribution are presented and analysed with a focus on the fundamental understanding. The model is shown to be able to provide a computer-aided design tool for optimize this complex engineering process by improving productivity and reducing scrap.
2020
In the extrusion of clad composite materials with different flow stresses are usually used. This causes an inhomogeneous material flow which can induce sleeve or core fracture. In the present study, the material flow during indirect extrusion of copper-clad aluminum (CCA) rods was analyzed by means of experimental and numerical investigations throughout the process. In order to provide material models for the numerical analysis hot compression tests of the aluminum alloy EN AW-1080A and the copper alloy CW004A were carried out. The indirect extrusion was performed using a conical die with a semi die angle of 45° and an extrusion ratio of 14.8:1. The container was heated to 330°C, while billet, die, and ram were kept at room temperature. The extrusion trial was then modeled with the FEM based software DEFORM 2D. Cross sections were taken from the extruded rod and compared to the corresponding sections of the simulation with regard to the development of the equivalent copper cross sec...
Metallurgical Transactions B Process Metallurgy, 1987
This paper deals with an investigation into the flow of aluminum powder billet during hot extrusion at low reduction ratios through square edge die under axisymmetric conditions. Analytical studies using the finite element method as well as the experimental observations are reported for various low reduction ratios ranging from 1.3:1 to 3.2:1 at extrusion temperatures, 300, 400, and 500 °C; friction effects have also been included. Extrusion pressures, velocity vectors, average pressure contours, and effective strain-rate contours are obtained using a velocity-pressure relationship. Analytical extrusion pressures agree quite well with experimental values. Metallographic investigations of the longitudinal section of partially extruded billets reveal very clearly the flow of the material in the different regions, viz., inside the container, near the die and the extruded portion, and are correlated with analytical results.
Mechanics Research Communications, 2009
In this research, the plastic flow behavior of Al-6%Mg alloy was studied by analyzing the results of hot compression tests in a range of temperature and strain rate. Then, an artificial neural network (ANN) model was trained at which the temperature, strain-rate, and strain parameters were used as the input layer and the flow stress as the output. The comparison of the predicted and experimental results of stress-strain curve proved the prediction capability of the ANN model.
Metals
Stress-strain curves of the EN AW 6082 aluminium alloy with 1.2 Si-0.51 Mg-0.75 Mn (wt.%) were determined by the uniaxial compression tests at temperatures of 450–550 °C with a strain rate of 0.5–10 s−1. The initial structure state corresponded to three processing types: as-cast structure non-homogenized or homogenized at 500 °C, and the structure after homogenization and hot extrusion. Significantly higher flow stress appeared as a result of low temperature forming of the non-homogenized material. Hot deformation activation energy Q-values varied between 99 and 122 kJ·mol−1 for both homogenized materials and from 200 to 216 kJ·mol−1 for the as-cast state, while the Q-values calculated from the measured steady-state stress were always higher than those calculated from the peak stress values. For the extruded state of the 6082 alloy, the physically-based model was developed to reliably predict the flow stress influenced by dynamic softening, temperature, strain rate, and true strain ...
Metallurgical and Materials Transactions A, 2005
A thoroughly tested, high-temperature channel-die compression (CDC) rig is described for simulating hot plane strain compression of metallic alloys up to 500 °C. The equipment is currently used to characterize the flow stress and microstructure evolution in hot-rolled Al alloys. It has been validated by several tests involving (1) metallographic analysis of deformed samples; (2) flow stress comparisons with the same, or similar alloys deformed in conventional uniaxial or plane strain compression; and (3) microstructure and texture measurements. The use of modern lubricants enables one to obtain accurate flow stresses and true plane strain deformations that are homogeneous over 80 pct of the sample. The equipment also features rapid heating and cooling systems to minimize thermallyinduced microstructure changes. Some results on high-temperature slip systems, hot deformation textures, and microstructures, and the behavior of constituent particles are outlined to illustrate the advantages of the technique.
Journal of Materials Engineering and Performance, 2014
In order to study flow stress behavior for hot working of a typical Al-Zn-Mg-Cu alloy, experimental stressstrain data obtained from isothermal hot compression tests at strain rates of 0.004, 0.04, and 0.4 s 21 and deformation temperatures of 400, 450, 500, and 520°C were used to develop the constitutive equation. The peak stress decreased with increasing deformation temperature and decreasing strain rate. The effects of temperature and strain rate on deformation behavior were represented by Zener-Hollomon parameter in an exponent-type equation. Employing an Arrhenius-type constitutive equation, the influence of strain has been incorporated by considering the related material constants as functions of strain. The accuracy of the developed constitutive equations has been evaluated using standard statistical parameters such as correlation coefficient and average absolute relative error. The results indicate that the proposed straindependent constitutive equation gives an accurate and precise estimate of the flow stress in the relevant temperature range.
Key Engineering Materials, 2011
In this work a numerical method for the simulation of extrusion processes with modeling of microstructure is presented. Extensive testing was done to provide a basis for the verification of simulation results. Circular rods of AA6005A were extruded by backward and forward extrusion with different extrusion ratios, billet temperatures and product velocities. The extruded rods were cooled either by water or at air to distinguish between dynamic and static recrystallization. Temperature and strain-rate dependent yield stresses were determined from hot compression tests. Special friction tests on cylindrical specimens under high hydrostatic stresses at high temperatures have been performed and the parameters of a friction model were identified from the experiments. The recrystallized volume fraction and grain sizes in the extruded rods were analyzed by means of optical micrographs. The obtained results were used to determine the parameters of a recrystallization model which was implemen...
Materials Science and Engineering: A, 2011
The present investigation has been conducted in order to develop a rational approach able to describe the changes in flow stress of AA7075-T6 aluminum alloy with deformation temperature and strain rate, when this material is deformed at temperatures in the range of 123-298 K at strain rates in the range of 4 × 10 −4 to 5 × 10 −2 s −1 . The constitutive formulation that has been advanced to accomplish these objectives represents a simplified form of the mechanical threshold stress (flow stress at 0 K) model developed at Los Alamos National Laboratory (Los Alamos, New Mexico, USA). Thus, it is assumed that the current flow stress of the material arises from both athermal and thermal barriers to dislocation motion. In the present case, the effect of three thermal barriers has been considered: solid solution, precipitation hardening and work-hardening. The first two effects do not evolve during plastic deformation, whereas the last one is considered as an evolutionary component of the flow stress. Such an evolution is described by means of the hardening law earlier advanced by [20]. The law is implemented in differential form and is integrated numerically in order to update the changes in strain rate that occur during tensile tests carried out both at constant and variable crosshead speed. The extrapolation of the hardening components from 0 K to finite temperatures is accomplished by means of the model earlier advanced by Kocks (1976) [19]. The results illustrate that the constitutive formulation developed in this way is able to describe quite accurately both the flow stress and work-hardening rate of the material, as well as temperature and strain rate history effects that are present when deformation conditions change in the course of plastic deformation. The evaluation of the ductility of the alloy indicates that the changes in this property are mainly determined by deformation temperature rather by strain rate. When deformation temperature decreases from 298 to 123 K, ductility also decreases from ∼35 to 24%. However, despite these relatively small variations, significant changes in the fracture morphology could be observed on the fracture surfaces of the examined specimens, with the predominance of a mixed ductile-brittle mechanism at lower temperatures.
2010
In industrial practice of hot forging, i.e. extrusion-type forging, abrupt changes in strain rate during the deformation of the material occur. For accurate numerical simulation of a forging process, the experimental investigation of the effect of the transient change in strain rate on plastic flow behaviour is necessary. The present paper deals with the investigation of this effect on the flow stress of an Al-Zn-Mg-Cu alloy during its deformation at 450 °C. During continuous uniaxial compression loading of a cylindrical specimen, the strain rate was abruptly increased or decreased from its initial value at engineering strain of ∼26 %. From the beginning of the upsetting up to the strain of ∼26 % the value of the strain rate was constant and equal to either 1 s -1 or 10 s -1 . At the strain of ∼26 % the value of the strain rate was either increased to 10 s -1 or decreased to 1 s -1 . The results of the experimental investigations were used to determine the isothermal flow stress-strain curves of the Al-Zn-Mg-Cu alloy. On the basis of these curves, the strain rate sensitivity index m as a function of true strain as well as temperature was determined.
2008
for introducing the present topic and for his inspiring guidance, constructive criticism and valuable suggestion throughout this project work. We would like to express our gratitude to Dr.K.C.Patra (Head of the Department), for his valuable suggestions and encouragements at various stages of the work. We are also thankful to all the staff in Department of Civil Engineering for providing all joyful environments in the lab and helping us out in different ways. Last but not least, our sincere thanks to all our friends who have patiently extended all sorts of help for accomplishing this undertaking.
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