This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Springback of Doubly Curved Developable Sheet Metal Surface - An Overview
Annotation ability available
Sector:
Language:
English
Abstract
A literature review of the springback of doubly curved developable sheet metal surfaces is presented in this paper. Related analyses, such as large curvature plastic bending and double curvature bending, are summarized here. Some well known results of the springback in sheet metal forming are also briefly discussed in order to thoroughly understand the problem. At the end of paper, a bibliography on the springback in sheet metal forming is provided as an appendix for readers' further interest and need of information.
Recommended Content
Authors
Citation
Huang, M. and Gerdeen, J., "Springback of Doubly Curved Developable Sheet Metal Surface - An Overview," SAE Technical Paper 940938, 1994, https://doi.org/10.4271/940938.Also In
References
- Gerdeen, J. C. Duncan J. L. “ Springback in Sheet Metal Forming ” AISI Report 1201-456 1986
- Duncan, J. P. Duncan J. L. “ Folded Developables ” Proc. R. Soc. Lond. A383 191 205 1982
- Huang, M. “ Springback of Doubly Curved Developable Sheet Metal Surfaces ” University of Colorado at Boulder 1993-94
- Horrocks, D. Johnson W. “ On Anticlastic Curvature With Special Reference to Plastic Bending: A Literature Survey and Some Experimental Investigations ” Int. J. Mech. Sci. 9 835 861 1967
- Gardiner, F. J. “ The Springback of Metals ” Trans. ASME 79 1 9 1957
- Crandall, S. H. “ Discussion of Gardiner's Paper ” Trans. ASME 79 7 8 1957
- Duncan, J. L. Bird J. E. “ Die Forming Approximations for Aluminum Sheet ” Sheet Metal Industry 1015 1023 Sep. 1978
- Wenner, M. L. “ On Work-Hardening and Springback in Plane Strain Draw Forming ” J. of Applied Metalworking 2 4 277 286 1983
- Yu, T. X. Johnson W. “ Influence of Axial Force on the Elastic-Plastic Bending and Springback of a Beam ” J. of Mechanical Working Technology 6 5 21 1982
- Ju, X. “ Springback Under Combined Stretching and Bending in Sheet Metal Forming ” Department of ME-EM, Michigan Technological University
- Tse, W. W-L. “ Mechanics of Springback of Sheet Metal ” McMaster University 1985
- Hill, R. The Mathematical Theory of Plasticity Oxford University Press 1951
- Lubahn, J. D. Sachs G. “ Bending of an Ideal Plastic Metal ” Trans. ASME 72 201 208 1950
- Swift, H. W. “ Plastic Bending Under Tension ” Engineering 333 335 357 359 1948
- Shaffer, B. W. Ungar E. E. “ Mechanics of the Sheet Bending Process ” J. of Applied Mechanics, Trans. ASME 34 40 March 1960
- Shaffer, B. W. House R. N. Jr. “ The Elastic-Plastic Stress Distribution Within a Wide Curved Bar Subjected to Pure Bending ” J. of Applied Mechanics, Trans. ASME 305 310 1955
- Shaffer, B. W. House R. N. Jr. “ Displacements in a Wide Curved Bar Subjected to Pure Elastic-Plastic Bending ” J. of Applied Mechanics, Trans. ASME 447 452 1957
- Timoshenko, S. Goodier J. N. Theory of Elasticity 1951
- Proksa, F. Plastisches Biegen von Blechen Der Stahlbau 29 36 1959
- Dadras P. Majlessi S. A. “ Plastic Bending of Work Hardening Materials ” J. of Engineering for Industry, Trans. ASME 104 224 230 1982
- Wolter, K. H. Freies Biegen von Blechen VDI-Forschungsheft 435 1952
- Crafoord, R. “ Plastic Sheet Bending ” 1970
- Verguts, H. Sowerby R. “ The Pure Plastic Bending of Laminated Sheet Metals ” Int. J. of Mech. Sci 17 31 51 1975
- Chakrabarty, J. Theory of Plasticity McGraw-Hill Book Co. 746 749 1987
- Wang, N.-M. “ Predicting The Effect of Die Gap On Flange Springback ” Proc. of 13th IDDRG Biennial Congress 133 147 1984
- Johnson, W. “ The Mechanics of Some Industrial Pressing, Rolling, and Forging Processes ” Mechanics Of Solids -The Rodney Hill 60th Anniversary Volume Hopkins H. G. Sewell M. J. Pergamon Press Ltd. 303 356 1982
- Tsygankov E. M. Trudy̌ gor'k politekh 13 7 35 1958
- Popov E. A. Russian Engineering J. 10 39 1963
- Hosford, W. F. Caddell R. M. Metal Forming: Mechanics and Metallurgy PTR Prentice-Hall, Inc. N. J. 1983 1993
- Johnson, W Singh A. N. “ Springback in Circular Blanks ” Metallurgia 275 280 1980
- Flügge, W. Stresses in Shells 2nd Springer-Verlag 1974
- Yu, T. X. Johnson W. J. “ Stamping and Springback of Circular Plates Deformed in Hemispherical Dies ” Int. J. Mech. Sci. 26 2 131 148 1984
- Yu, T. X. Johnson W. “ The large Elastic-Plastic Deflection with Springback of a Circular Plate Subjected to Circumferential Moments ” J. of Applied Mechanics 49 507 515 1982
- Johnson, W. Yu T. X. “ Springback After The Biaxial Elastic-Plastic Pure Bending of A Rectangular Plate - I ” Int. J. Mech. Sci. 23 10 619 630 1981
- Johnson, W. Yu T. X. “ On The Range of Applicability of Results For the Springback of An Elastic/Perfectly Plastic Rectangular Plate After Subjecting It to Biaxial Pure Bending - II ” Int. J. Mech. Sci. 23 10 631 637 1981
- Johnson, W. Yu T. X. “ On Springback After The Pure Bending of Beams and Plates of Elastic Work-Hardening Materials - III ” Int. J. Mech. Sci. 23 11 687 695 1981
- Johnson, W. Yu T. X. “ On The Range of Applicability of Results For the Springback of An Elastic/Work-Hardening Rectangular Plate After Subjecting It to Biaxial Pure Bending - IV ” Int. J. Mech. Sci. 23 11 697 701 1981
- Davies, R. G. “ Springback in High-Strength Steels ” J. Applied Metalworking 1 4 45 52 1981
- Adams, D. G. Kasper, A. S. Kurajian, G. M. “ Springback Analysis of Biaxially Stretched Panels ” SAE Paper 730529 1973
- Ai-Qureshi, H.A. “ On the Mechanics of Sheet Metal Bending with Confined Compressible Dies ” J. Mechanical Working Technology 127 134 1977 1978
- Andreen, O. Crafoord R. “ Calculations of Springback of Sheet Metal Bends ” Advanced Technology of Plasticity 593 598 1984
- Ayres, R. A. Wenner M. L. Wang N. “ Showing Sheet Steel Who's Boss ” Search (GM Research Laboratories) 18 2 1983
- Ayres, R. A. “ SHAPESET: A Process to Reduce Sidewall Curl Springback in High Strength Steel Rails ” J. Applied Metalworking 3 2 127 134 1984
- Baba, A. Tozawa Y. “ Effect of Tensile Force in Stretch Forming Process on the Springback ” Bulletin of JSME 834 843 1964
- Botros, B. M. “ Springback in Sheet Metal Forming After Forming ” Paper No. 67-WA/PROD-17, ASME 1967
- Brown, C. M. Binder W. O. Frank R. “ Methods for Computing Springback When Bending Stainless Steel ” Metal Progress 1077 1080D 1944
- Brungs, D. Raas F. Gestalten von Aluminum-Blech-konstruktionen Blech-Rohre-Profile 29 1982 303 306
- Chapman, F. B. Hazlett T. H. Schroeder W. “ Springback in Flanging ” Product Engineering 1942 382 383
- Chen, W. F. Atsuta T. Theory of Beam-Columns Mcgraw-Hill Mew York 1 1976
- Chen, W. F. Santathadaporn S. “ Curvature and the Solution of Eccentrically Loaded Columns ” J. Eng. Mech. Div. A.S.C.E. Proc. 95 1969 21 39
- Crandall, S. H. “ Discussion on Gardiner's Paper ” ASME Transactions 79 1 1957 7 8
- Crandall, S. H. N. C. “ Introduction to the Mechanics of Solids ” McGraw-Hill 1961
- Dannenmann, E. Institut Fur Umformtechnik, Unibersitat Stuttgart, 8 1969
- Datsko, J. Hilsen R. “ Analysis of Springback Including Strain History During Bending ” Proc. IDDRG 13th Biennial Congress Melbourne, Australia Feb. 1984
- Datsko, J, Yang C. T. “ Correlation of Bendability of Materials with their Tensile Properties ” ASME Transactions 1960 309 314
- Davies, R. G. “ Side-Wall Curl in High-Strength Shells ” J. Applied Metalworking 3 2 1984 120 126
- Davies, R. G. Y. C. “ Control of Springback in a Flanging Operation ” J. Applied Metalworking 3 2 1984 142 147
- Dieter, G. E., Jr. Mechanical Metallurgy McGraw-Hill 1961
- Duncan, J. L. “ Aspects of Draw Die Forming of Sheet Metal ” Australian Conf. on Manufacturing Engineering 1983 11 16
- Duncan, J. L. “ Simple Model of Springback in Sheet Metal Forming ” Metal Forming Research Report 83 011 1983
- Duncan, J. L. Bird J. E. “ Die Forming Approximations for Aluminum Sheet ,” Sheet Metal Industries September 1978 1015 1023
- Flugge, W. “ Stresses in Shells ” 2nd Springer Verlag New York 1973
- Forrest, G. “ Residual Stesses in Beams after Bending ” Symposium on Internal Stresses in Metals and Alloys 1948 153 162
- Fukui, S. Yoshida K. Abe K. “ Stretch-Expand Forming ” Sci. Papers I.P.C.R. 60 1 1966 23 31
- Gardiner, F. J. “ The Springback of Metals ” ASME Transactions 79 1 1957 1 9
- General Moteors Research Laboratories “ Showing Sheet Steel Who's Boss ” Search 18 2 1983
- Gerdeen, J. C. “ A Critical Evaluations of Plastic Behavior Data and a Unified Definition of Plastic Loads of Pressure Components ” WRC Bulletin 254 1979 1 64
- Gerdeen, J. C. “ The Effect of Buckling due to Residual Stresses on Springback Measurements ” Proc. 13th IDDRG Congress 1984 160 165
- Gerdeen, J. C. “ Development of a Computer Program AXIFORM for the Analysis of Forming of Axisymmetric Sheet Metal Parts ” Proc. NAMRC-XII, SME Transactions 1984 209 213
- Gerdeen, J. C, Ju X. “ Review of Literature on Springback ” Summary Report Michigan Technological University Houghton, Michigan 1984
- Granzow, W. G. “ A Portable Springback Tester for In-Plant Determination of the Strength of Sheet Steels ” SAE Paper No. 830238 1983
- Hobbs, R. M. Duncan J. L. “ Folding and Bending ” ASM Home Study and Extension course -C21 L2 Metals Engineering Institute Metal Park, Ohio 1979
- Hoffman, O. Sachs G. “ Introduction to the Theory of Plasticity for Engineers ” McGraw-Hill New York 1953
- Hosford, W. F. Caddell R. M. “ Metal Forming - Mechanics and Metallurgy ” Prentice Hall, Inc. 1983
- Ingvarsson, L. “ Cold Formed Residual Stresses on Thin Walled Structures ” Int. Congress on Thin-Walled Structures Univ. of Strathclydie 1979 575
- Jalinier, J. M. Hayashi H. Shibasaki O. Yoshida K. “ Analysis of Elastic Tecovery by Means of Yoshida Buckling Testa ” 201 210
- Johnson, W. Mellor P. B. “ Engineering Plasticity ” Van Nostrand Reinhold Co.
- Johnson, W. Singh A. N. “ Springback in Circular Blanks ” Metallurgia 1980 275 280
- Johnson, W. Yu T. X. “ Springback after the Biaxial Elastic-Plastic Pure Bending of a Rectangular Plate - I ” Int. J. Mech. Sci. 23 10 1982 619 630
- Johnson, W. Yu T. X. “ On the Range of Applicability of Results for the Springback - II ” Int. J. Mech. Sci. 23 10 1981 631 637
- Johnson, W. Yu T. X. “ On Springback after the Pure Bending - III ” Int. M. Mech. Sci. 23 11 1981 687 695
- Johnson, W. Yu T. X. “ On the Range of Applicability of Results for the Springback - IV ” Int. J. Mech. Sci. 23 11 1981 697 701
- Kahl, F. W. Automatisierung von Umformmaschinen-Vorausbestimmung des Biegewinkels Industrie-Anzeiger 104 8 1982 22 24
- Kahl, F. W. Partielle Spannungsuberlagerung zurver-besserung der Formenauigkeit Industrie-Anzeiger 105 82 1983 29 30
- Kahl, F. W. Berechnung der Ruckfederung fur fes N. C. Gesenkbiegen Industrie-Anzeiger 106 85 1984 44 45
- Kahl, F. W. Schiefenbusch J. 1982 Formanderungen bestimmen beim Umformen von Blechen Bander Bleche Rohpe 14 1982 81 85
- Kahl, F. W. Schiefenbusch J. Moglichkeiten zur Verbesserung der Form-und Massgenauigkeit bei der Umformung hochfester kultgeqalzter Feinbleche Bleche-Rogre-Profile 30 1983 39 43
- Kalpakjian, S. “ Manufacturing Processes for Engineering Materials ” Addison-Wesley Publishing Co 1984
- Kleiner, M. Zicke G. Rechnergesturzte Formanderunds analyde an Rotations Symmetrischen Feinblechteilen am Beispiel des N. C. Drucken Stahl und Eisen 103 11 1983 565 569
- Kuhn, N. “ On the Springback Behaviour of Low Carbon Steel Sheet after Stretch Bending ” J. of Australian Institute of Metals 12 1 1967 71 76
- Lefevre, C, El Haik R. Levrez E. Bourgeon M. 1982 “ Influence of Tensile Characteristics on Strain Distribution and Springback ” 12th IDDRG meeting 1982 129 145
- Levy, B. S. “ Advances in Designing Ultra High Strength Steel Bumper Reinforcement Beams ” SAE Paper - 830399 1983
- Levy, B. S. “ Empirically Derived Equations for Predicting Springback in Bending ” J. Applied Metalworking 3 2 1984 135 141
- Liu, Y. C. “ Springback Reduction in U-Channels-Double-Bend Technique ” J. Applied Metalworking 3 2 1984 148 156
- Marin, J. Aharma M. G. “ Design of a Thin-Walled Cylindrical Pressure Vessel Based Upon the Plastic Range and Considering Anisotropy ” Welding Research Council Bulletin Series 40 1958
- Moore, H. D. Kibbey D. R. “ Manufacturing Materials and Processes ” 3rd John Wiley & Aons, Inc. 1982
- Monfort, G. Bragard A. “ A Simple Modelisation of Shape Errors in Forming and its Application to the Reduction of Springback ” AIME 12th Annual Automotive Materials Symposium Detroit 1985 8-1 8-18
- Neda, Masonobu Veno Keii Kobayashi M. “ A Study of Springback in the Stretch Bending of Channels ,” J. of Mechanical Working Technology 5 1981 163 179
- Oehler, G. Einfluss der Ruckfederung auf Masstoleranzen an Blechen, Bandern und Staben 30 1983 99
- Queener, C. A. DeAngelis R. J. “ Elastic Springback and Residual Stresses in Sheet Metal Formed by Bending ” A. S. M. Transactions 61 1968 757 768
- Rolf, R. L. Patrick E. P. “ Bending and Springback of Aluminum Alloy Sheet and Plate ” 1978 65 85
- Russell, J. D. Kuhn N. L. “ A Mathematical Model of Sheet Bending Applied to Corrugating ” J. of Australian Institute of Metals 11 1 1966 38 46
- Sachs, G. Voegeli H. E. “ Principal and Practice of Sheet Metal Fabricating ” Reinhold Publishing Co. 1966
- Schey, J. A. “ Introduction to Manufacturing Processes ” McGraw-Hill 1977 163 165
- Schiefenbusch, J. Uberlagerung von Druckpannungen beim Beigen mit geradliniger Workzengbewegung Bander Bleche Rohre 11 1979 515 518
- Schroeder, W. “ Mechanics of Sheet Metal Bending ” ASME Transactions 1943 817 827
- Ahaffer, B. W. Ungar E. E. “ Mechanics of Sheet Bending Process ” ASME Transactions 1960 34 40
- Shanley, F. R. “ Elastic Theory in Sheet Metal Forming Problems ” J. Aeronautical Sci. 9 1942 313 333
- Sidebottom, O. M. Gebhardt C. F. “ Elastic Springback in Plates and Beams Formed by Bending ” Experimental Mechanics 1979 371 377
- Slater, W. A. C. “ Engineering Plasticity ” John Wiley & Sons New York - Toronto 1977
- Spotts, M. F. “ Discussion on Gardiner's Paper ” ASME Transactions 79 1 1957 8
- Stelson, K. A. Gossard D. C. “ An Adaptive Pressbrake Control using an Elastic Material Model ” ASME Transactions 104 1982 389 393
- Tozawa, Y. “ Theoretical Study of Effect of Pressing and Stretching on Springback ” Proc. 7th Japan National Congress for Applied Mechanics 1957 49 56
- Tse, William Wing-Leung “ Mechanics of Springback of Sheet Metal ” McMaster Univ. 1985
- Ueda, M Ueno Y. Kobayashi M. “ A Study of Springback in the Stretch Bending of Channels ” J. Mech. Working Tech. 5 1981 163 179
- Vecchio, M. T. “ Design Analysis and Behavior of a Variety of As-Formed Mild and High Strength Steel Sheet Materials in Larhe Deflection Bending ” SAE Pater - 830398 1983
- Von Finckenstein, E. Ruckfederung hochfester kaltgewalzter Stahlbeche Industrie-Anzeiger 104 85 1982
- Wang, N. M. “ Predicting The Effect of Die Gap on Flange Springback ” Proc. IDDRG 13th Biennial Cong., Efficiency in Sheet Metal Forming Melbourne, Australia 1984 113 147
- Weinmann, K. J. Shippel R. J. “ Effect of Tool and Workpiece Geometries upon Bending Forces and Springback in 90-V-die Bending of HSLA Steel Plate ” Proc. NAMRC - VI 1978 220 227
- Wenner, M. L. “ On Work Hardening and Springback in Plane Strain Draw Forming ” J. Applied Metalworking 2 4 1983 277 287
- Woo, D. M. Marshall J. “ Springback and Stretch Forming of Sheet Metal ” THE Engineer 208 5404 1959 135 136
- Yanagimoto, S. Aoki I. Hanai S. “ Effect of Mechanical Properties of Sheet Steel on the Springback of Press-Formed Parts ” Proc. 4th IDDRG Congress 1966 VI 1 10
- Yoshida, K. “ Shape-Flexibility of Steel Sheets in Press Forming ” Sci. Papers I. P. C. R. 59 2 1965 87 96
- Yu, T. X. Johnson W. “ The Press-Brake Bending of Rigid/Linear Work-Hardening Plates ” Int. J. Mech. Sci. 23 5 1981 307 318
- Yu, T. X. Johnson W. “ Influence of Axial Force on the Elastic-Plastic Bending and Springback of a Beam ,” Journal of Mechanical Working Technology 6 1982 5 21
- Yu, T. X. Johnson W. “ The Large Elastic-Plastic Deflection With Springback of Circular Plates Subjected to Circumferential Moments ” J. Appl. Mech. 99 1982 507 515
- Yu, T. X. Stronge W. J. Johnson W. “ Stamping and Springback of Plate Between Cylindrical Dies ” Advanced Technology of Plasticity 1 1984 599 604
- Ju, Xiang “ Springback Under Combined Stretching and Bending in Sheet Metal Forming ” Michigan Technological University 1985