PROCEEDINGS OF › dms › tib-ub-hannover › 503559598.pdfS.M. Fatcmi-Varzanch, A. Zarci-Hanzaki,...
Transcript of PROCEEDINGS OF › dms › tib-ub-hannover › 503559598.pdfS.M. Fatcmi-Varzanch, A. Zarci-Hanzaki,...
PROCEEDINGS OF
THE 8th ESAFORM CONFERENCE ON MATERIAL FORMING
,,ESAFORM 2005"
Volume II
Editor:
Prof. Dorel BANABIC
TIB/UB Hannover 89126 679 487
ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP007(Keynote paper)
FP185(Keynote paper)
FP001
FP044
FP080
FP124
FP155
FP208
FP008
FP230
FP277
VOLUME II
Extrusion and drawing technologies and modelling
Fast Material Forming 541
N.D. Cristescu
Measurement of Temperature and Pressure During Thin-Strip Extrusion 545
W. Wajda, P.T. Moe, S. Storen, M. Lefstad, R. Flatval
Effect of Strain-Hardening Exponent on the Occurrence of Central Burst in 549Aluminum Wire Drawing Process
S.M. Koohpayeh, A. Karimi Taheri
An Innovative Experimental Procedure To Investigate Seam Welding In 553Aluminum Extruded Profiles
A. Ghiotti, S. Bruschi, T. Dal Negro
Flash Formation In Conform Extrusion 557
T. Manninen, P. Ramsay, A. S. Korhonen
3D FEM Analysis of Seam Welds Formation in Aluminum Extrusion and Product 561Characterization
L. Donati, L. Tomesani
An Upper Bound Analysis of Forward Extrusion through Rotating Dies 565
X. Ma, M.R. Bamett
Development of a Laboratory Hot Extrusion Apparatus for Tribology and 569Rheology Parameters Identification
R.E. Loge, M. Minvielle, E. Cini, A. Le Floc'h, E. Felder
Finite-Element Modelling of Hydrostatic Extrusion of Magnesium 573
G. Barton, R. Kopp
An Experimental and Numerical Study of Induction Heating 577
P.T. Moe, W. Wajda, S. Stsren, M. Lefstad, R. Flatval
Radial Gear Extrusion Modeling: Analytical, Numerical and Experimental 581Approach
P. Skakun, M. Skunca, M. Plancak
XTT
Contents
Superplastic forming of aluminium and magnesium alloys
FP047 Optimum Variable Strain Rate Deformation Paths for Superplastic Forming of 587
(Keynote paper) AA5083 using Multiscale Stability Criterion
N. Thuramalla, M. K. Khraisheh
FP017 Finite Element Simulation of Warm Deep Drawing of Magnesium Alloy AZ31 591
Sheet
H. Takuda, T. Morishita
FP035 Superplastic Response in Coarse-Grained Al-Mg Alloys 595
A.R. Chezan, W.A. Soer, J.Th.M. De Hosson
FP059 Microstructural Evolution During Superplastic Forming of Coarse-Grained Al-Mg 599
Alloys
W.A. Socr, A.R. Chezan, J.Th.M. Dc Hosson
FP061 A Unified Interpretation of Hubble Flow, Plastic Flow and Super Plastic Flow 603
J. D. Mufloz-Andrade
FP068 Hot Deformation Characteristics of AZ31 Magnesium Alloys 607
S.M. Fatcmi-Varzanch, A. Zarci-Hanzaki, A. Araic
FP070 AA5083-SPF: From Bulge-Testing to Automotive Body Parts Forming 611
M. Vulcan
FP077 Tensile Ductility of Aluminium-Magnesium Alloys Sheets at Elevated 615
Temperatures
D. GliSic, M. Popovic, E. Romhanji
FP149 High Temperature Characterization of a 2024 Aluminium Alloy by Tensile Tests 619
and the Blow Forming Technique
D. Sorgentc, L. Tricarico
FP043 On the Failure of Superplastic PbSn60 Alloy in Biaxial Tension Tests 623
G.Giuliano, L. Carrino and S.Franchitti
FP046 Deformation Characteristics of AZ31 Magnesium Alloy under Various Forming 627
Temperatures and Strain Rates
F. K. Abu-Farha, M. K. Khraisheh
FP192 Aspects Concerning Superplastic Behaviour of Some Aluminum Alloys 631
A. - L. Rus, T. Canta, D. Frunza
FP050(Keynote paper)
Nanostructuring metals by severe plastic deformation
3D-ECAP of Square Aluminium Billets
A. Rosochowski, L. Olejnik, M. Richcrt
637
XIII
ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP052
FP060
FP107
FP249
FP250
FP251
FP240
Effect Of The Strain Inhomogeneity On The Microstructure Evolution During 641Bidirectional Compression Of IF Steel Using MaxStrain Technology
R. Kuziak, V. Podvysockyy, M. Pietrzyk, D. Ferguson
Experimental and Numerical Investigation of Equal Channel Angular Pressing of 6451230 aluminium alloy
D.A. Gnevashev, P.A. Petrov, M.A. Petrov, S.A. Stebunov
Ultrafine Recrystallized Grains by Severe Shear Deformation During Hot Rolling 649of P-Titanium Alloy
T. Sakai, K. Nakamura, Y. Saito
The Influence of the ECAP Temperature on Superplasticity of Aluminium 653Allloys
R.K. Islamgaliev, N.F. Yunusova, R.Z. Valiev
Processing of Ultrafine-Grained Structure in the Ti-6A1-4V Alloy by Severe 657Plastic Deformation
I.P. Semenova, L.R. Saitova, G.I. Raab, R.Z. Valiev
Nanostructuring of Ti in Long-Sized Ti Rods be Severe Plastic Deformation 661
G.H. Salimgareeva, I.P. Semenova, V.V. Latysh, R.Z. Valiev
The Influence of the ECAP Temperature on Microstructure and Mechanical 665Properties of a Magnesium Alloy
O.B. Kulyasova, R.K.Islamgaliev
FP289(Keynote paper)
FP274(Keynote paper)
FP231(Keynote paper)
FP009
FP014
FP020
Rapid prototyping and rapid tooling
Initial Experimental and Numerical Investigations into a Class of new Strategies 671for Single Point Incremental Sheet Forming (SPIF)
M. Bambach, J. Ames, M. Azaouzi, L. Campagne, G. Hirt, J.L. Batoz
Achievable Accuracy in Single Point Incremental Forming: Case Studies 675
J. R. Duflou, B. Lauwers, J. Verbert, Y. Tunckol, H. De Baerdemaeker
The Application of Rapid Prototyping Technologies for Manufacturing the 679Custom Implants
P. Berce, H. Chezan, N. Bale
An Approach in Manufacturing of Medical Implants 683
P. Raos, A. Stoic
Microstructural and Hardness Investigation in Welding Based Rapid Prototyping 687Process
R.A. Mufti, M.P. Mughal, A.A. Khan, H.F. Junejo, M. Siddique, I. Khan
Optimization of Sheet Incremental Forming Process by Means of FE Simulations 691
E.Ceretti, A.Attanasio, C. Giardini
XIV
Contents
FP027
FP056
FP241
FP256
FP262
FP221
Finite Element Analysis of Laminated Tools for Sheet Metal Stamping 695
M. Oudjene, F. Mercier, L. Penazzi, J.L. Batoz
Application of the Neural Network Technique for Reducing Springback in 699Incremental Forming Processes
G. Ambrogio, L. Filice, F. Gagliardi, F. Micari, D. Umbrello
Experimental validation of the Finite Element Simulation of the First Stroke in 703Single Point Incremental Forming
K. Watzeels, Y. Tunckol, C. Henrard, J. Gu, H. Sol, J. Duflou, A.M. Habraken
Deep-Drawing Die Controlled by a Multi-Point Die-Support System 707T. OhashiEffect of FEM Choices in the Modeling of Incremental Forming of Aluminum 711Sheets
S. He, A. Van Bael, P. Van Houtte, Y. Tunckol, J. Duflou, C. Henrard, C. Bouffioux,A.M. Habraken
Active Elements Tools Made By Selective Laser Sintering
N. Bale, P. Berce, R. Pacurar
715
Machining and cutting technologies and modelling
FP023 Metal Forming Simulations using Recent Advances in the Natural Element 721
(Keynote paper) Method
J. Yvonnet, D. Ryckelynck, P. Lorong, F. Chinesta
FP026 Numerical Investigation of Effect of Hard Turning on Residual Stress 725
(Keynote paper) Distribution of Shot Peened Surface
X. Cheng, J. Hua, D. Umbrello, R. Shivpuri, F. Hashimoto
FP057 On the Finite Element Simulation of Thermal Phenomena in Machining 729(Keynote paper) Processes
L. Filice, D. Umbrello, F. Micari, L. Settineri
FP089 Simulation Analysis on Chip Breaking Process by Grooved Tool 733
T. Shirakashi, J. Shinozuka, T. Obikawa
FP120 High Speed Experimental Analysis of Orthogonal Cutting using Hopkinson Bars 737
and Optical Deformation Measurements
P. Guegan, Y. Guetari. A. Poitou
FP125 Simulation of The Blanking Process of Aluminium Sheet Using the Engineering 741
Software DEFORM
W. W. Wenzl, S. Treml
FP129 Study of the X-FEM Method Possibilities for the Simulation of Machining 745
Y. Guetari, S. Le Corre, N. Mofs
FP145 Comparison of Different Fracture Models for the Metal Blanking Process 749
V. Lemiale, J. Chambert, P. Picart
XV
ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP147
FP166
FP217
FP288
FP123
FP229
A Finite Element Three Dimensional Approach to Metal Evaporative Laser 753Cutting: Temperature Field Non-Linear Model
P. Carlone, C. Cataldo, G.S. Palazzo
Simulation of Drilling Process Base on Energy Approach 757
T. Matsumura, 1. Hori, T. Shirakashi, E. Usui
Experimental and FEM Study of the Temperature Field During Superficial 761Grinding
A. Aguiar Vieira, A. Monteiro Baptista, R. Natal Jorge, M. Lages Parente
Dexel-based Milling Simulation 765
K. Tracht, B. Denkena, M. Clausen, J.-H. Yu
2D Orthogonal Cutting Simulation of Cl5 Steel 769
L. Donati, G. Tani, L. Tomesani
Numerical Modeling of the Chip Geometry in end Milling Operation 773
M. Ancau
FP030
FP034
FP193
FP267
Constitutive models for polymers
Deterministic Approach of Multi Bead-Spring Polymer Models 779
A. Ammar, F. Chinesta, D. Ryckelynck
Constitutive Model for Amorphous Polymers Based on the Quasi Point Defect 783Theory
R. Rinaldi, R. Gaertner, M. Brunei, E. Vidal-Salle, L. Chazeau
Hyper Elasticity and Strain-Rate Dependence of Behaviour in Amorphous 787Polymer in Stretch-Blow Moulding and Thermoforming
N. Billon
Constitutive Modeling of Polymers Solutions in Simple Shear and Oscillatory 791Tests
A. Marin, A. Calin, C. Balan
FP113(Keynote paper)
FP121(Keynote paper)
FP278(Keynote paper)
Structure development of polymers
Effect of Short Branches on the Crystallization of Potyamides 797
P. Van Puyvelde, S. Acierno
a-relaxation in polyethylene as a function of crystal thickness 801
T. Kazmierczak, A. Galeski
Heat Transfer and Crystallization During Fast Cooling of Thin Polymer Film 805
G. Lamberti, F. De Santis, V. Brucato, G. Titomanlio
Contents
FP028 External Calibration in PA 12 Tube Extrusion: Influence on Microstructure and 809
Mechanical Properties
A. Carin, J.-M. Haudin, M. Vincent, B. Monassc, G. Bcllct, N. Amouroux
FP039 Contribution to Numerical Modelling of Polymer Crystallization 813
J.-L. Chcnot, J. Smirnova, J.-M. Haudin and B. Monasse
FP130 Structural and Melting Studies on Photocrosslinked Polyethylene 817
V. Barboiu, M. Avadanci, C. V. Grigoras
FP 159 Rheological Study of the Early Crystallization Stages 821
S. Aciemo, S. Coppola, N. Grizzuti, D. Vlassopoulos
FP195 Flow Induced Crystallization of Polymers at Elevated Pressures 825
M.H.E. van dcr Beck, G.W.M. Peters, H.E.H. Mcijcr
FP198 Crystallization and Properties of Plasticized Poly(L-lactide) 829
R.Kulinski, E.Piorkowska
FP268 Determination of the Crystallization Kinetics of a PBT/PET Blend in Relation to 833
the Behaviour of the Constituents
V. La Carrubba, A. Stocco, S. Piccarolo, V. Brucato
FP021 Tabu Search Method Used In Macromolecular Designee 837
T. Rusu, V. Bulacovschi
FP 106 On the Effect of Chain Ends and Chain Stiffness on the Second Virial Coefficient 841
of Polysulfone - Theoretical Aspects
A. Filimon, S. loan, E. Avram
FP 108 Crosslinked Structures in Solution of poly(ether urethane)s 845
M. Lupu, S. loan, D. Macocinschi
FP 112 The Role Of Compatibilizers In The Structure Development Of Polymer Blends 849
E. Van Hcmelrijck, P. Van Puyveldc, P. Moldcnacrs
Link between process and final properties
FP036 Development of a Neural Network to Predict the Final Geometry of Forged 855
Rings after Cooling
S. Casotto, S. Bruschi, F. Pascon, A. M. Habraken
FP138 Numerical Implementation of a Fatigue Criterion Taking into Account the Grain 859Flow OrientationN. Caillct, P.-O. Bouchard, Y. Chastcl
FP173 Dimensional Stability and Mechanical Properties of Mouldings Featuring Novel 863Morphologies Produced with by Active Shear Rotation During InjectionMoulding
C.A. Silva, J. C. Viana, A. M. Cunha
XVII
ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP207
FP172
Influence of Process Parameters on Friction Stir Welding Conditions - 867Application to 6061 T6 Al Alloy Thin Plates
F. Gratecap, G. Racineux, A. Poitou
Melt Manipulation Techniques in Non-Conventional Injection Moulding: 871Structure Development and the Mechanical Properties
A. D. Kouyumdzhiev, J. C. Viana, A. M. Cunha
FP051(Keynote paper)
FP148(Keynote paper)
FP287(Keynote paper)
FP045
FP167
FP180
FP189
FP190
FP254
FP255
FP269
Polymer Processing and Modelling
Numerical Simulation Of Plastic Sheath Coating Of Telephone Wires 877
E. Mitsoulis
Role of Process Simulation in Liquid Composite Moulding 881
V. Neacsu, A. Gokce, P. Simacek, J. M. Lawrence, S. G. Advani
Modeling of Anisothermal Dynamic Crystallization in Injection Molding 885
J. Smimova, L. Silva, B. Monasse, J.-M. Haudin, J.-L. Chenot
Influence of the PET Chain Structure on its Stretch Blow Moulding Ability 889
E. Deloye, J.-M. Haudin, N. Billon
PET under Uniaxial and Biaxial Tension Loading: Models Validation by 893Comparison Between Uniaxial and Biaxial Data's
L. Chevalier, Y. Marco
Determination of the Spatial Distribution of Molecular Orientation in Injection 897Molded iPP
R. Mendoza, G. Regnier, L. David, R. Fulchiron, C. Rochas
Multilayer Film Blowing Process. Numerical and Experimental Results 901
E. Gamache, J-F. Agassant, Y. Demay, P.G. Lafleur
3D Finite Element Modelling of the Stretch Blow Moulding Process 905
C. Champin, M. Bellet, F.M. Schmidt, J.-F. Agassant, Y. Le Maoult
Vectorial Algorithm for Bi-phasic Simulation of the Powder Segregation in 909Metal Injection Moulding
Z.Cheng, T.Barriere, B.Liu, J.C.Gelin
Experimental Study and Simulation of Heterogeneous Anisotropic Elastic 913Properties of Injection-molded Fiber-Reinforced Polymer
D. Liksonov, T. Barriere, N. Boudeau, J.C. Gelin, L. Maslov
Determination of the Volumetric Thermal Expansion Coefficient of Glass Fiber 917Reinforced (GFR) Thermoplastics through Pressure-Volume-Temperature (PVT)Measurements
V. La Carrubba, M. Butters, G. Struijk, W. Zoetelief
XVIII
Contents
FP282
FP191
FP194
Evolution of Morphology During Processing of Thermoplastic Polymers: the 921Injection Moulding Process
G. Titomanlio, I. Coccorullo, R. Pantani, V. Speranza
Optimisation of Infrared Heating System for the Thermoforming Process 925
M. Bordival, S. Andrieu, F.M. Schmidt, Y. Le Maoult, S. Monteix
Film Blowing and Characterization of PA6/LDPE Blends 929
F.P. La Mantia, N. Tzankova Dintcheva
Composite forming technologies and modelling
FP012 Strain Field in the Picture Frame Test: Large and Small Scale Optical 935
(Keynote paper) Measurements
S.V. Lomov, A. Willems, M.Barburski, T.Stoilova, I.Verpoest
FP076 Modelling the Effects of Blank-Holder Pressure and Material Variability on 939
(Keynote paper) Forming of Textile Preforms
A. C. Long, J Wiggers, P Harrison
FP094 Spring-Forward in Composite Plate Elements 943(Keynote paper) g w i j s k a m P j £ A D L a m e r s , R. AkkermanFP139 Consistent Preprocessor for the Unit Woven Cell for Meso-Macro Analyses of 947
(Keynote paper) Fabric Forming
G. Hivet, B. Laine, P. Boisse
FP025 Development of a Simplified Finite Element Model for Draping and Wrinkling of 951
Woven Material
A. A Skordos, C. Monroy Aceves, M. P F Sutcliffe
FP062 Mechanical Analysis of 3D Braided Fiber Reinforced Composites Based on 955
Homogenization and Elastic-Plastic Constitutive Laws
J.-H. Kim, M.-G. Lee, H. Ryou, M.-H. Lee, K. Chung, T. J. Kang, J. R. Youn
FPO79 Towards Real Time Manipulation of Virtual Fabric Reinforcement - Extending 959
and Enhancing Kinematic Drape Simulation Tools
S.G. Hancock, K.D. Potter
FP087 Finite Element Forming Simulation of NCF Considering Natural Variability of 963
Fiber Direction
W.R. Yu, P. Harrison, A.C. Long
FP100 Influence of Material and Process Parameters on Segregation Phenomena During 967
Compression Molding of GMT
P. Dumont, L. Orgeas, C. Servais, V. Michaud, D. Favier, J.-A. E. Manson
FP101 Development of a RTM Mould Filling System Integrating Simulation, 971Optimisation and Control TechniquesF. Sanchez, J.A. Garcia, F. Chinesta, G.Salvador, Ll.Gascon
XIX
ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP102
FP104
FP115
FP131
FP137
FP202
FP206
FP085
FP118
FP133
FP157
FP162
FP279
Flow Of Non-Newtonian Viscous Fluids Through Fibrous Media: Experimental 975And Numerical Study
Z. Idris, C. Andre, C. Gcindreau, L. Orgcas, J.-F. Bloch, L. Dcbovc
Micro-Deformation Of Foam-Composite Sandwich Structures During Curing 979
S. S. Chcon, S. H. Chang
FE Modelling of Micro-Deformation of Carbon Fabric-Metallic Foam Sandwich 983Structures
S.S. Chang, S.S. Chcon
Kinematics of Intra-Ply Slip of Textile Composites During Bias Extension Tests 987
P. Harrison, M.-K. Tan, A. C. Long
Drape Simulation of Non-Crimp Fabrics 991
R.H.W. ten Thijc, R. Locndcrsloot, R. Akkcrman
Permeability Of The Woven Fabrics: A Parametric Study 995
B. Laine, G. Hivct, P. Boissc, F. Boust, S. V. Lomov
Experimental Study on Woven Composites with Different Temperature 999Trajectories
H. S. Cheng, J. Cao, N. Mahayotsanun
Simulation of Double Dome Stamping of Twill Woven Fabric Composites 1003
X. Li, J. A. Sherwood, L. Liu, J. Chen
Biaxial Tensile Tests on Glass/PP under Optical Strain Measurement 1007
A. Willems, D. Vandepitte, S. V.Lomov, I. Verpoest
Simulations and Experiments in Continuous Fibres Composites Forming 1011
J.L Daniel, D. Soulat, P. Boissc
Measurement of the Transverse and Longitudinal Viscosities of Continuous Fibre 1015Reinforced Composites
P. Harrison, T. Haylock, A.C. Long
Mechanical Analysis of 3D Braided Fiber Reinforced Composites Based on 1019Homogenization and Elastic-Plastic Constitutive Laws
J.-H. Kim, M.-G. Lee, H. Ryou, M.-H. Lee, K. Chung, T. J. Kang, J. R. Youn
Technological Parameters Optimisation for High Compression Strength of Parts 1023Made of Melamine and Clay Compounds
L. Hancu, D. Pauncscu, H, Iancau
FP266(Keynote paper)
FP048(Keynote paper)
General and special topics
Experimentation and FE Simulation of a Flow Forming Process
C.C. Wong, J. Lin, T.A. Dean
Three-Dimensional Finite Element Modelling for an Uterus Surgery
A. Paccini, Y. Tillier, J. Dclotte, M. Durand-Reville, J.-L. Chcnot
1029
1033
XX
Contents
FP058
FP150
FP186
FP187
FP291
FP300
FP013
FP071
FP074
FP093
FP299
Behaviour of Friction Stir Welded T-Components under Loading 1037
G. Buffa, L. Filice, L. Fratini, F. Gagliardi
Two Simple Models for Exploring a Novel Flexible Ring Rolling Process 1041
T. F. Stanistreet, J. M. Allwood
Simulation of Deformation in Mannesmann Piercing Process 1045
K. Komori
Power Evaluation in a Hot Rod Rolling Process 1049
F. Capece Minutolo, M. Durante, L. Giorleo, A. Langella
Requirements for the Design of Roll Materials for Wire Rod Rolling 1053
S.-E. Lundberg
High Magnetic Field Effect on Texture of Low GNO Silicon Steel 1057
C.M.B. Bacaltchuk, G.A. Castello-Branco, H. Garmestani, C. Iskandar, P. Koo, A.Kasseh, R. Abourialy, O.S. Es-Said
Clad Sheet Rolling Analysis by the Modified Slab Method 1061
F. Farhat-Nia, M. Salirai
An Investigation to the Alpha Phase Dynamic Globularization in Ti-6A1-4V 1065Alloys
A.R. Shahab, A. Zarei-Hanzaki, M. Mastoori, S.M.H. Hoseiny, H. Azizi-Alizamini
3-D Finite Element Modelling of Macular Translocation 1069
Y. Tillier, C. Falcot, A. Paccini, G. Caputo, J.-L. Chenot
A cost model for the Friction Stir Welding process 1073
R. Di Lorenzo, L. Fratini
The Components of Logarithmic Strain Tensor in Material Forming and 1077Comparison with the Components of Conventional Strain
V. Ungureanu
FP174(Keynote paper)
FP276(Keynote paper)
FP199
FP203
Semi-solid processing
Thixoforming of Steel: Experiments on Thermal Effects and Micromechanical 1083Modelling
P. Cezard, R. Bigot, V. Favier, M. Berveiller, M. Robelet
Study of liquid fraction evolution of semi-solid steels for thixoforming 1087
J. Lecomte-Beckers, A. Rassili, M. Carton, M. Robelet
Pseudo-Semi-Solid Thixofroming of Ceramics Matrix Composite 1091
Y.-S. Cheng, S.-J. Luo, Z.-M. Du
Semi-Solid Forming of Steels 1095
A. Rassili, C. Geuzaine, P. Dular, M. Robelet, J. Demeurger, D. Fischer
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ESAFORM 2005 Conference, Cluj-Napoca, Romania
FP215
FP261
FP294
FP295
FP211
FP214
Twin roll casting of Al-16%Si hypereutectic aluminium alloy strip 1099
T. Haga, M. Ikawa, W. Hisaki
Semi-sold roll casting of AZ31B magnesium alloy by a horizontal roll caster 1103
H. Watari, T. Haga, K. Davcy, M. Sato, N. Takada
Flow Visualisation for Semi-Solid Alloys 1107
H.V. Atkinson, P.J. Ward
Rheological properties of semi-solid metallic alloys 1111
M. Modigell, L. Pape, M. Hufschmidt
SLC™ - Sub Liquidus Casting: An Economical Route to Rheocasting 1115
J. Jorstad, M. Thieman, R. Rogner
Semisolid roll casting of wire-inserted composite strip 1119
T. Haga, K. Takahashi, W. Hisaki