This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Failure Prediction of Sheet Metals Based on an Anisotropic Gurson Model
Technical Paper
2000-01-0766
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Event:
SAE 2000 World Congress
Language:
English
Abstract
A failure prediction methodology that can predict sheet metal failure under arbitrary deformation histories including rotating principal stretch directions and bending/unbending with consideration of damage evolution is reviewed in this paper. An anisotropic Gurson yield criterion is adopted to characterize the effects of microvoids on the load carrying capacity of sheet metals where Hill’s quadratic anisotropic yield criterion is used to describe the matrix normal anisotropy and planar isotropy. The evolution of the void damage is based on the growth, nucleation and coalescence of microvoids. Mroz’s anisotropic hardening rule, which was proposed based on the cyclic plastic behavior of metals observed in experiments, is generalized to characterize the anisotropic hardening behavior due to loading/unloading with consideration of the evolution of void volume fraction. The effects of yield surface curvature are also included in the plasticity model. Here, the Marciniak-Kuczynski approach or the initial imperfection approach is employed to predict failure/plastic flow localization by assuming a slightly higher initial void volume fraction inside randomly oriented imperfection bands in a material element of interest. The failure of sheet metals is reached when plastic localization becomes possible under a given deformation history. Applications of the failure prediction methodology to predict the sheet metal failure in a fender forming process and biaxial stretching processes with pre-bending/unbending are reviewed.
Citation
Huang, H., Pan, J., and Tang, S., "Failure Prediction of Sheet Metals Based on an Anisotropic Gurson Model," SAE Technical Paper 2000-01-0766, 2000, https://doi.org/10.4271/2000-01-0766.Also In
References
- Huang, H.-M., Pan, J. Tang, S. C. 1999 Failure prediction in anisotropic sheet metals under forming operations with consideration of rotating principal stretch directions Int. J. Plast. in press
- Huang, H.-M. 1999 Plastic and fracture analyses of sheet metal forming and metal cutting processes Ph.D. Thesis University of Michigan Ann Arbor, Michigan
- Gurson, A. L. 1977 Continuum theory of ductile rupture by void growth: Part I-Yield criteria and flow rules for porous ductile media J. Eng. Mater. Tech. 99 2
- Liao, K.-C., Pan, J. Tang, S. C. 1997 Approximate yield criteria for anisotropic porous ductile sheet metals Mech. Mater. 26 213
- Mroz, Z. 1967 On the description of anisotropic workhardening J. Mech. Phys. Solids 15 163
- Marciniak, Z. Kuczynski, K 1967 Limit strains in the processes of stretch-forming sheet metal Int.J. Mech. Sci. 9 609
- Tvergaard, V. Needleman, A. 1984 Analysis of the cup-cone fracture in a round tensile bar Acta Metal. 32 157
- Tvergaard, V. 1981 Influence of voids on shear band instabilities under plane strain conditions Int. J.Fract. 17 389
- Tvergaard, V. 1982 On localization in ductile materials containing spherical voids Int. J. Fract. 18 237
- Chien, W.-Y., Ph.D. dissertation The University of Michigan Ann Arbor in preparation
- Gurland, J. 1972 Observations on fracture of cementite particles in a spheroidized 1.05% C steel deformed at room temperature Acta. Metall. 20 735
- Argon, A. S. Im. J. 1975 Separation of second phase particles in spheridized 1045 steel, Cu-0.6pctCr alloy, and maraging steel in plastic straining Metall. Trans. 6A 839
- Chu, C. C. Needleman, A. 1980 Void nucleation effects in biaxially stretched sheets J.Eng. Mater. Tech. 102 249
- Saje, M., Pan, J. Needleman, A. 1982 Void nucleation effects on shear localization in porous plastic solids Int. J. Fract. 19 163
- Pan, J., Saje, M. Needleman, A. 1983 Localization of deformation in rate sensitive porou splastic solids Int. J. Fract. 21 261
- Mear, M. E. Hutchinson, J. W. 1985 Influence of yield surface curvature on flow localization in dilatant plasticity Mech. Mater. 4 395
- Tvergaard, V. 1978 Effect of kinematic hardening on localized necking in biaxially stretched sheets Int.J. Mech. Sci. 20 651
- Peirce, D., Shih, C. F. Needleman, A. 1984 A tangent modulus method for rate dependent solids Comp. & Struct. 18 875
- Yamamoto, H. 1978 Conditions for shear localization in the ductile fracture of void-containing materials Int. J. Fract. 11 347
- Hill, R. 1962 Acceleration waves in solids J. Mech. Phys. Solids, 10 1
- Rice, J. R. 1976 Proc. 14 th Int. Cong. On Theoretical and Applied Mechanics Koiter, W. T., 1 207 220 Delft, North-Holland
- Demeri, M. Y., Chow, C. L. Tai, W. H. 1998 Prediction and experimental validation of path-dependent forming limit diagrams of VDIF steel SAE paper No. 980079 53