Springback Analysis of Rectangular Sectioned Bar of Non Linear Work-Hardening Materials under Torsional Loading

Article Preview

Abstract:

This paper deals with the springback problems of rectangular section bars of non-linear work-hardening materials under the torsional loading. Using the deformation theory of plasticity, a numerical scheme based on the finite difference approximation has been proposed. The growth of the elastic-plastic boundary and the resulting stresses while loading, and the springback and the residual stresses after unloading are calculated. The results are verified experimentally with mild steel bars having a rectangular cross-section and the experimental results have been found to agree well with the theoretical results obtained numerically.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

422-434

Citation:

Online since:

September 2013

Export:

Price:

[1] Sachs G, Principles and methods of sheet metal fabricating. Reinhold, New York 1951: 100.

Google Scholar

[2] Schroeder W. Mechanics of sheet metal bending. Transactions of the ASME 1943; 36: 138-45.

Google Scholar

[3] Gardiner FJ. The springback of metals. Transactions of the ASEME 1958; 49: 1-9.

Google Scholar

[4] Singh AN, Johnson W. Springback after cylindrically bending metal strips. Dr Karunesh Memorial International Conference, New Delhi, December (1979).

Google Scholar

[5] Huth JH. A note on plastic torsion. J. Appl. Mech 1955; 22: 432-434.

Google Scholar

[6] Nadai A. Theory of Flow and Fracture of Solids. McGraw-Hill 1950; 1: 494-497.

Google Scholar

[7] Upadhyay PC. Elasto-plastic torsion.M. Tech. thesis, Mechanical Engineering Department, I.I.T. Kanpur (1970).

Google Scholar

[8] Dwivedi JP, Singh AN, Ram S, Talukder NKD, Springback analysis in torsion of rectangular strips. Int. J. Mech. Sci. 1986; 28: 505-515.

DOI: 10.1016/0020-7403(86)90049-4

Google Scholar

[9] Dwivedi JP, Sarkar PK, Ram S, Singh AN, Talukder NKD. Experimental aspects of torsional springback in rectangular strips. J. Inst. Engrs (India) 1970; 67: 70-73.

Google Scholar

[10] Dwivedi JP, Shukla AK, Upadhyay PC. Torsional springback of square section bars of linear work-hardening materials. Comp, and Stru. 1972; 45(3): 421-429.

Google Scholar

[11] Dwivedi JP, Upadhyay PC, Talukder NKD. Torsional springback in square section bars of nonlinear work-hardening materials. Int. J. Mech. Sci. 1990; 32(10): 863-876.

DOI: 10.1016/0020-7403(90)90165-f

Google Scholar

[12] Dwivedi JP, Upadhyay PC, Talukder NKD, Springback analysis of torsion of L sectioned bars of work-hardening materials. Comp. & Stru. 1992; 43(5): 815-822.

DOI: 10.1016/0045-7949(92)90295-b

Google Scholar

[13] Zhang Z, Hu S. Stress and residual stress distributions in plane strain bending, International Journal of Mechanical Sciences. 1998; 40(6): 543-553.

DOI: 10.1016/s0020-7403(97)00075-1

Google Scholar

[14] Kuwabara T. Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulation, International Journal of Plasticity. 2007; 23: 385-419.

DOI: 10.1016/j.ijplas.2006.06.003

Google Scholar

[15] Yi HK, Kim DW, Tyne CJV, Moon YH. Analytical prediction of springback based on residual differential strain during sheet metal bending, Proc. IMechE, J. Mechanical Engineering Sciences. 2008; 222(2): 117-129.

DOI: 10.1243/09544062jmes682

Google Scholar

[16] Megharbel A, Nasser AG, Domiaty A. Bending of tube and section made of strain- hardening materials, Journal of Materials Processing Technology. 2008; 203: 372-380.

DOI: 10.1016/j.jmatprotec.2007.10.078

Google Scholar

[17] Da-xin E, Hau-hui H, Xiao-yi L, Ru-xin N., Experimental study and finite element analysis of spring-back deformation in tube bending. International Journal of Minerals, Metallurgy and Materials 2009; 16(2): 177-183.

Google Scholar

[18] Daxin E, Liu Y. Springback and time-dependent spingback of 1Cr18Ni9Ti stainless steel tubes under bending, Materials and Design, (2009).

DOI: 10.1016/j.matdes.2009.09.026

Google Scholar

[19] Choubey VK, Gangwar M , Dwivedi JP. Torsional springback analysis in thin tubes with non-linear work hardening, Journal of Mechanical Engineering, Vol 2010; 7(1): 15-34.

Google Scholar

[20] Choubey VK, Gangwar M , Dwivedi JP. Springback analysis of thin tubes", Journal Mech. Engineering (An Int. Journal) 2011; 7(2).

Google Scholar

[21] Choubey VK, Gangwar M, Dwivedi JP, Talukder N.K. D, Springback analysis of thin tubes with arbitrary stress-strain curves, Journal Mech. Engineering (An Int. Journal), Vol. 8, No. 1, (2011; 8(1).

Google Scholar

[22] S. Timoshenko and J.N. Goodier, Theory of Elasticity, 2nd Edn. pp. McGraw-Hill, Tokyo 1951; 258-262.

Google Scholar