Numerical simulation of fracture in cup drawing
Source abstract
Abstract
Prediction of the initiation of ductile fracture in deep drawing allows a prior modification of the process which can result in a defect-free final product. This paper deals with the prediction of fracture initiation in deep drawn cup using Lemaitre’s continuum damage mechanics model. The damage is incorporated in the constitutive equation through the principle of strain equivalence. The damage is evaluated using the damage growth law proposed by Lemaitre. An in-house 3D finite element formulation is employed for the analysis. Finite element formulation is based on updated Lagrangian approach. Logarithmic strain measure is used. The incremental stress is made objective by evaluating it in a frame rotating with the material particle. The material is assumed to be elasto-plastic with isotropic strain hardening using von Mises yield criterion. Modified Newton-Raphson iterative technique is used to solve the nonlinear incremental equations. The fracture location predicted by the present formulation is in agreement with the results reported in the literature.
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Research context
OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (15)
Show source-provided references
1. S. P. Keeler and W. A. Backhofen. Plastic instability and fracture in sheet stretched over rigid punches. ASM Transactions Quarterly, 56:25–48, 1964.
2. R. Arrieux. Determination and use of the forming limit stress diagrams in sheet metal forming. J. Mater. Process. Tech., 53:47–56, 1995.10.1016/0924-0136(95)01960-M ↗
3. T. B. Stoughton. A general forming limit criterion for sheet metal forming. Int. J. Mech. Sci., 42:1–27, 2000.10.1016/S0020-7403(98)00113-1 ↗
4. J. Lemaitre and R. Desmorat. Engineering Damage Mechanics. Springer-Verlag, Berlin Heidelberg, 2005.
5. C. A. Berg. Plastic dilation and void interaction. In M. F. Kannien, W. F. Adler, A. R. Rosenfeld, , and R. I. Jaffe, editors, Inelastic behavior of solids, pages 171–210, McGraw-Hill New York, 1969.
6. M. Elgueta. Ductile damage analysis of sheet metal forming. J. Mater. Process. Tech., 121:148–156, 2002.10.1016/S0924-0136(01)01232-8 ↗
7. M. Khelifa, M. Oudjene, and A. Khennane. Fracture in sheet metal forming: Effect of ductile damage evolution. Computers and Structures, 85(3-4):205–212, 2007.10.1016/j.compstruc.2006.08.053 ↗
8. J. P. Fan, C. Y. Tang, C. P. Tsui, L. C. Chan, and T. C. Lee. 3D finite element simulation of deep drawing with damage development. Int. J. Machine Tool Manufac., 46:1035–1044, 2006.10.1016/j.ijmachtools.2005.07.044 ↗
9. J. Lemaitre. Coupled elasto-plasticity and damage constitutive equations. Comput. Meth. Appl. Mech. Engg., 51:31–49, 1985.10.1016/0045-7825(85)90026-X ↗
10. Ravindra K. Saxena. Studies on Deep Drawing Defects using Finite Element Method: Earing, Wrinkling and Damage. PhD thesis, Department of Mechanical Engineering, IIT Kanpur, August 2009.
11. S. N. Varadhan. Dynamic large deformation elasto-plastic analysis of continua. Master’s thesis, Mechanical Engineering Department, IIT Kanpur, 1997.
12. J. Lemaitre and J. Dufailly. Damage measurements. Engg. Fracture Mech., 28:643–661, 1987.10.1016/0013-7944(87)90059-2 ↗
13. K. J. Bathe. Finite Element Procedures. Prentice Hall of India, New Delhi, 1996.
14. T.H. Choi and H. Huh. Sheet metal forming analysis of planar anisotropic materials by a modified membrane finite element method with bending effect. J. Mater. Process. Tech., 89-90:58–64, 1999.10.1016/S0924-0136(99)00050-3 ↗
15. H. Takuda, K. Mori, and N. Hatta. The application of some criteria for ductile fracture to the prediction of the forming limit of sheet metals. J. Mater. Process. Tech., 95(1-3):116–121, 1999.10.1016/S0924-0136(99)00275-7 ↗