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Die design by a boundary element method
Affiliation:1. Department of Radiology, Duke University School of Medicine, Durham, NC, USA;2. School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, Sweden;3. Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA;1. Vrije Universiteit Amsterdam, 1081 HV Amsterdam, the Netherlands;2. Nikhef Theory Group, 1098 XG Amsterdam, the Netherlands;3. Hampton University, Hampton, VA 23668, USA;4. Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA;5. Brookhaven National Laboratory, Upton, NY 11973, USA;6. Ohio State University, Columbus, OH 43210, USA;7. Imam Abdulrahman Bin Faisal Univ., Dammam 34212, Saudi Arabia;8. Università di Torino, I-10125 Torino, Italy;9. INFN - Sezione di Torino, I-10125 Torino, Italy;10. INFN - Sezione di Roma, I-00185 Roma, Italy;11. INFN - Sezione di Bologna, I-40127 Bologna, Italy;12. Universidade de Santiago de Compostela, E-15705 Santiago de Compostela, Spain;13. Argonne National Laboratory, Lemont, IL 60439, USA;14. University of California at Riverside, Riverside, CA 92521, USA;15. Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;p. A. Alikhanian National Science Laboratory, Armenia;q. SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA;r. IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France;s. Mississippi State University, Starkville, MS 39762, USA;t. Università di Pavia, I-27100 Pavia, Italy;u. INFN - Sezione di Pavia, I-27100 Pavia, Italy;v. INFN - Sezione di Ferrara, I-44122 Ferrara, Italy;w. North Carolina State University, Raleigh, NC 27607, USA;x. INFN - Sezione di Genova, I-16146 Genova, Italy;y. Central University of Tamil Nadu, Tamil Nadu 610005, India;z. Duquesne University, Pittsburgh, PA 15282, USA;11. The Catholic University of America, Washington, DC 20064, USA;12. Stony Brook University, Stony Brook, NY 11794, USA;13. RIKEN BNL Research Center - Brookhaven National Laboratory, Upton, NY 11973, USA;14. CFNS, Stony Brook, NY 11794, USA;15. Temple University, Philadelphia, PA 19122, USA;16. University of Groningen, 9712 CP Groningen, the Netherlands;17. MNIT Jaipur, Jaipur, Rajasthan 302017, India;18. Universidad de Buenos Aires, C1053 CABA, Argentina;19. Università di Trieste, I-34127 Trieste, Italy;110. INFN - Sezione di Trieste, I-34149 Trieste, Italy;111. Universidad Técnica Federico Santa María, Valparaiso, Chile;112. Politecnico di Torino, I-10129 Torino, Italy;113. Jazan University, Jazan, Saudi Arabia;114. Trinity College, Dublin 2, Ireland;115. ECT*, I-38123 Villazzano (Trento), Italy;1p. Fondazione Bruno Kessler (FBK), I-38123 Povo (Trento), Italy;1q. INFN - TIFPA, I-38123 Povo (Trento), Italy;1r. Central China Normal University, Wuhan, Hubei 430079, China;1s. INFN - Sezione di Bari, I-70126 Bari, Italy;1t. CNR-ISTP Bari, I-70126 Bari, Italy;1u. Istituto Superiore di Sanità, I-00161 Roma, Italy;1v. Lamar University, Beaumont, TX 77705, USA;1w. Politecnico di Bari, I-70126 Bari, Italy;1x. Florida Institute of Technology, Melbourne, FL 32901, USA;1y. Florida International University, Miami, FL 33199, USA;1z. Universidad Nacional Autónoma de México, 36 01000 Ciudad de México, Mexico;21. Università di Cagliari, I-09042 Monserrato (Cagliari), Italy;22. INFN - Sezione di Cagliari, I-09042 Monserrato (Cagliari), Italy;23. Saha Institute of Nuclear Physics, Kolkata, West Bengal 700064, India;24. Los Alamos National Laboratory, Los Alamos, NM 87545, USA;25. University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada;26. University of California Berkeley, Berkeley, CA 94720, USA;27. INFN - LNF, I-00044 Frascati (Roma), Italy;28. Massachusetts Institute of Technology, Cambridge, MA 02139, USA;29. Duke University, Durham, NC 27708, USA;210. Xinjiang University, Urumqi, Xinjiang 830046, China;211. Baruch College - The City University of New York, New York City, NY 10010, USA;212. Université Paris-Saclay, CNRS - IJCLab, F-91406 Orsay, France;213. Universidad de Alcalá, 28805 Alcalá de Henares, Madrid, Spain;214. University of Illinois at Chicago, Chicago, IL 60607, USA;215. University of Kentucky, Lexington, KY 40506, USA;2p. Charles University, 116 36 Prague 1, Czech Republic;2q. University of Michigan, Ann Arbor, MI 48109, USA;2r. Instituto Tecnológico de Aeronáutica, 12.228-900 São José dos Campos, Brazil;2s. Università di Perugia, I-06123 Perugia, Italy;2t. INFN - Sezione di Perugia, I-06123 Perugia, Italy;2u. Penn State Univ.-Berks, Reading, PA 19610, USA;2v. University of Glasgow, Glasgow G12 8QQ, Scotland, United Kingdom;2w. Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, RS, Brazil;2x. University of Connecticut, Storrs, CT 06269, USA;2y. The George Washington University, Washington, DC 20052, USA;2z. University of Virginia, Charlottesville, VA 22904, USA;31. Universidade Federal de Pelotas, CEP 96010-900 Pelotas, RS, Brazil;32. University of Birmingham, Birmingham B15 2TT, United Kingdom;33. RIKEN Nishina Center for Accelerator-Based Science, Wako, Saitama 351-0198, Japan;34. INFN - Sezione di Lecce, I-73100 Lecce, Italy;35. Petersburg Nuclear Physics Institute, Gatchina 188300, Russia;36. Old Dominion University, Norfolk, VA 23529, USA;37. Georgia State University, Atlanta, GA 30302, USA;38. Southern Methodist University, Dallas, TX 75275, USA;39. Illinois Institute of Technology, Chicago, IL 60616, USA;310. Northeastern University, Shenyang, Liaoning, China;311. University of Regina, Regina, Saskatchewan S4S 0A2, Canada;312. University of South Carolina, Columbia, SC 29208, USA;313. Czech Technical University, 115 19 Prague 1, Czech Republic;314. Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany;315. Virginia Union University, Richmond, VA 23220, USA;3p. Fudan University, Shanghai 200433, China;3q. University of California at Los Angeles, Los Angeles, CA 90095, USA;3r. Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany;3s. AGH University of Science and Technology, 30-059 Krakow, Poland;3t. Universidad Andres Bello, Sazié 2212, Piso 7, Santiago, Chile;3u. KEK, Tsukuba, Ibaraki 305-0801, Japan;3v. University of Massachusetts, Amherst, MA 01003, USA;3w. Akal University, Talwandi Sabo, Punjab 151302, India;3x. Panjab University, Chandigarh 160014, India;3y. University of Zagreb, 10000 Zagreb, Croatia;3z. Institute of Nuclear Physics Polish Academy of Sciences, PL-31342 Krakow, Poland;41. University of Jyväskylä, 40014 Jyväskylä, Finland;42. Helsinki Institute of Physics, FI-00014 Helsinki, Finland;43. South China Normal University, Guangzhou 510631, China;44. Rice University, Houston, TX 77005, USA;45. The College of William and Mary, Williamsburg, VA 23185, USA;46. Università di Bari, I-70121 Bari, Italy;47. Beijing Normal University, Beijing 100875, China;48. CNRS - CPHT, École Polytechnique, I.P. Paris, F-91120 Palaiseau, France;49. Southeast University, Nanjing, Jiangsu 211189, China;410. Indiana University, Bloomington, IN 47405, USA;411. Yale University, New Haven, CT 06520, USA;412. University of North Georgia, Dahlonega, GA 30597, USA;413. Università di Foggia, I-71122 Foggia, Italy;414. Universidad Complutense de Madrid, E-28040 Madrid, Spain;415. Oak Ridge National Laboratory, Oak Ridge, TN 37830, USA;4p. Jožef Stefan Institute, 1000 Ljubljana, Slovenia;4q. NRC “Kurchatov Institute” - IHEP, Protvino, Moscow region 142280, Russia;4r. National Research Nuclear University MEPhI, Moscow 115409, Russia;4s. Jagiellonian University, PL-31007 Krakow, Poland;4t. University of Kansas, Lawrence, KS 66045, USA;4u. University of Edinburgh, JCMB, KB, Edinburgh EH9 3FD United Kingdom;4v. INFN - LNS, I-95123 Catania, Italy;4w. INFN - CNAF, I-40127 Bologna, Italy;4x. Northwestern University, Evanston, IL 60208, USA;4y. Lebanon Valley College, Annville, PA 17003, USA;4z. IIT Madras, Chennai, Tamil Nadu 600036, India;51. Nanjing University, Nanjing, Jiangsu 210093, China;52. University of the Basque Country UPV/EHU, E-48940 Bilbao, Spain;53. IKERBASQUE, Basque Foundation for Science, E-48009 Bilbao, Spain;54. GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany;55. Universidad Pablo de Olavide, E-41013 Sevilla, Spain;56. Banaras Hindu University, Varanasi, Uttar Pradesh 221005, India;57. University of Ljubljana, 1000 Ljubljana, Slovenia;58. University of New Hampshire, Durham, NH 03824, USA;59. Johannes Gutenberg Universität, D-55122 Mainz, Germany;510. The Pennsylvania State University, University Park, PA 16802, USA;511. National Centre for Nuclear Research (NCBJ), 02-093 Warsaw, Poland;512. University of Hawaii, Honolulu, HI 96822, USA;513. Università di Catania, I-95124 Catania, Italy;514. INFN - Sezione di Catania, I-95125 Catania, Italy;515. Universitaet Regensburg, D-93040 Regensburg, Germany;5p. Zhengzhou University, Zhengzhou, Henan 450001, China;5q. University of Science and Technology of China, Hefei, Anhui 230052, China;5r. The Chinese University of Hong Kong, Hong Kong, Shenzhen 518172, China;5s. Shandong University, Qingdao, Shandong 266237, China;5t. Chinese Academy of Sciences, Lanzhou, Gansu Province 730000, China;5u. China University of Geosciences, Wuhan, Hubei 430079, China;1. Department of Mechanical Engineering, Imam Hossein University, Tehran, Iran;2. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
Abstract:A simple technique to design extrusion dies for three dimensional profiles based on Boundary Element Methods is reported. The technique is applied to design a few dies for triangular and square Newtonian extrudates. The results obtained compare well with the available data on common design practice.
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