Abstract
The Ramberg–Osgood stress–strain relation is used to perform a theoretical springback analysis in the problem of bending of a narrow rectangular strip made of a strain-hardening material. The maximum strip thickness is 5 mm, and its length is significantly greater than the thickness. Based on the elasticity and plasticity deformation theory and also on the Tresca and von Mises yield criteria, an expression for the springback ratio is derived. The springback ratio depends on the ratio of the yield stress to Young’s modulus, Poisson’s ratio, strain hardening coefficient, and sheet thickness.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Sachs, Principles and Methods of Sheet Metal Fabricating (Reinhold, New York, 1951).
W. Schroeder, “Mechanics of Sheet Metal Bending” Trans. ASME 36, 138–145 (1943).
F. J. Gardiner, “The Springback of Metals” Trans. ASME 49, 1–9 (1958).
A. N. Singh and W. Johnson, “Springback after Cylindrically Bending Metal Strips,” in Proc. of the Dr Karunesh Memorial Intern. Conf. New Delhi (India), December 1979 (South Asian Publ., 1982), pp. 236–250.
J. H. Huth, “A Note on Plastic Torsion” J. Appl. Mech. 22, 432–434 (1955).
A. Nadai, Theory of Flow and Fracture of Solids (McGraw-Hill, New York, 1950).
P. C. Upadhyay, “Elasto–Plastic Torsion.” M. Tech. Thesis (Indian Inst. Technol. Kanpur, 1970).
J. P. Dwivedi, A. N. Singh, S. Ram, and N. K. D. Talukder, “Springback Analysis in Torsion of Rectangular Strips” Int. J. Mech. Sci. 28, 505–515 (1986).
J. P. Dwivedi, P. K. Sarkar, S. Ram, et al., “Experimental Aspects of Torsional Springback in Rectangular Strips” J. Inst. Eng. (India) 67, 70–73 (1970).
J. P. Dwivedi, A. K. Shukla, and P. C. Upadhyay, “Torsional Springback of Square Section Bars of Linear Work Hardening Materials” Comput. Structures 45 (3), 421–429 (1972).
J. P. Dwivedi, P. C. Upadhyay, N. K. D. Talukder, “Torsional Springback in Square Section Bars of Nonlinear Work-Hardening Materials” Int. J. Mech. Sci. 32 (10), 863–876 (1990).
J. P. Dwivedi, P. C. Upadhyay, and N. K. D. Talukder, “Springback Analysis of Torsion of L-Sectioned Bars of Work-Hardening Materials” Comput. Structures 43 (5), 815–822 (1992).
Z. Zhang and S. Hu, “Stress and Residual Stress Distributions in Plane Strain Bending” Int. J. Mech. Sci. 40 (6), 543–553 (1998).
T. Kuwabara, “Advances in Experiments on Metal Sheets and Rubes in Support of Constitutive Modeling and Forming Simulation” Int. J. Plasticity 23, 385–419 (2007).
H. K. Yi, D. W. Kim, C. J. V. Tyne, and Y. H. Moon, “Analytical Prediction of Springback Based on Residual Differential Strain during Sheet Metal Bending” J. Mech. Eng. Sci. 222 (2), 117–129 (2008).
A. Megharbel, A. G. Nasser, and A. Domiaty, “Bending of Tube and Section Made of Strain-Hardening Materials” J. Mater. Proc. Technol. 203, 372–380 (2008).
E. Da-xin, H. Hau-hui, L. Xiao-yi, and N. Ru-xin, “Experimental Study and Finite Element Analysis of Springback Deformation in Tube Bending” Int. J. Minerals, Metallurgy Materials 16 (2), 177–183 (2009).
E. Da-xin and Y. Liu, “Springback and Time-Dependent Springback of 1Cr18Ni9Ti Stainless Steel Tubes under Bending” Materials Design 31, 1256–1261 (2009).
V. K. Choubey, M. Gangwar, and J. P. Dwivedi, “Torsional Springback Analysis in Thin Tubes with Non-Linear Work Hardening” J. Mech. Eng. 7 (1), 15–34 (2010).
V. K. Choubey, M. Gangwar, and J. P. Dwivedi, “Springback Analysis of Thin Tubes” J. Mech. Eng. 7 (2), 79–83 (2011).
V. K. Choubey, M. Gangwar, J. P. Dwivedi, and N. K. D. Talukder, “Springback Analysis of Thin Tubes with Arbitrary Stress–Strain Curves” J. Mech. Eng. 8 (1), 105–109 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 6, pp. 197–205, November–December, 2016.
Rights and permissions
About this article
Cite this article
Lal, R.K., Bhagat, M.K., Dwivedi, J.P. et al. Springback analysis in sheet metal forming by using the Ramberg–Osgood stress–strain relation. J Appl Mech Tech Phy 57, 1133–1140 (2016). https://doi.org/10.1134/S0021894416060225
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894416060225