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DUCTILE FAILURE SIMULATION IN SPHERODIZED STEEL USING A CONTINUUM DAMAGE MECHANICS COUPLED FINITE ELEMENT FORMULATION

SACHIN S. GAUTAM

Department of Mechanical Engineering, IIT Kanpur, Kanpur, U.P. 208016, India

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and

P. M. DIXIT

Department of Mechanical Engineering, IIT Kanpur, Kanpur, U.P. 208016, India

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https://doi.org/10.1142/S0219876210002180Cited by:8 (Source: Crossref)

Abstract

Ductile fracture occurs due to microvoid nucleation, growth and, finally, coalescence into microcracks. These microcracks grow in the presence of stresses leading to fracture. In this work, a criterion based on this phenomenon is used to simulate ductile fracture in a class of steel specimens. A critical value of the damage variable, estimated from experimental results, is used as an indicator of fracture initiation. A continuum damage mechanics model is employed to incorporate the damage in the constitutive relation of the material. A damage growth law based on experimental results is used. It is observed that the damage reaches the critical value first at the center in both the cylindrical and prenotched specimens. Thus, the failure begins at the center and then grows radially outward toward the free surface. The analysis is carried out till the damage reaches the critical value across the whole cross-section, at which point the specimen is considered to have failed.

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References

Y. Bao, Eng. Fract. Mech. 72, 505 (2005), DOI: 10.1016/j.engfracmech.2004.04.012. Crossref, Web of Science, Google Scholar
Y. Bao and T. Wierzbicki, Eng. Fract. Mech. 72, 1049 (2005), DOI: 10.1016/j.engfracmech.2004.07.011. Crossref, Web of Science, Google Scholar
K. J. Bathe , Finite Element Procedures ( Prentice Hall of India , New Delhi , 1996 ) . Google Scholar
J. L. Batoz and G. Dhatt, Int. J. Numer. Meth. Eng. 14, 1262 (1979), DOI: 10.1002/nme.1620140811. Crossref, Web of Science, Google Scholar
C. A. Berg, Inelastic Behaviour of Solids, eds. M. F Kanninenet al. (1970) pp. 171–190. Google Scholar
J. Besson, D. Steglich and W. Brocks, Int. J. Solids Struct. 38, 8259 (2001), DOI: 10.1016/S0020-7683(01)00167-6. Crossref, Web of Science, Google Scholar
N. Bonora, Eng. Fract. Mech. 58, 11 (1997), DOI: 10.1016/S0013-7944(97)00074-X. Crossref, Web of Science, Google Scholar
P. W. Bridgman , Studies in Large Plastic Flow and Fracture ( McGraw Hill , New York , 1952 ) . Google Scholar
E. E. Cabezas and D. J. Celentano, Finite Elem. Anal. Des. 40, 555 (2004), DOI: 10.1016/S0168-874X(03)00096-9. Crossref, Web of Science, Google Scholar
D. J. Celentano and J. L. Chaboche, Int. J. Plas. 23, 1739 (2007), DOI: 10.1016/j.ijplas.2007.03.008. Crossref, Web of Science, Google Scholar
S. Cescotto and Y. Y. Zhu, Computational Plasticity: Fundamentals and Applications, eds. D. R. J. Owen and E. Onate (Pineridge, Swansea, 1995) pp. 987–998. Google Scholar
J. L. Chaboche, Nucl. Eng. Des. 64, 233 (1981), DOI: 10.1016/0029-5493(81)90007-8. Crossref, Web of Science, Google Scholar
J. L. Chaboche, Nucl. Eng. Des. 79, 309 (1984), DOI: 10.1016/0029-5493(84)90046-3. Crossref, Web of Science, Google Scholar
J. L. Chaboche, M. Boudifa and K. Saanouni, Int. J. Fract. 137, 51 (2006), DOI: 10.1007/s10704-005-3061-5. Crossref, Web of Science, Google Scholar
Dhar, S. [1995] A Continuum Damage Mechanics Model for Ductile Fracture. Ph.D. thesis, Department of Mechanical Engineering, IIT Kanpur . Google Scholar
J. Gurland, Acta Metall. 20, 735 (1972). Crossref, Web of Science, Google Scholar
A. L. Gurson, ASME J. Eng. Mater. Technol. 99, 2 (1977). Crossref, Web of Science, Google Scholar
J. W. Hancock and A. C. Mackenzie, J. Mech. Phys. Solids 24, 147 (1976), DOI: 10.1016/0022-5096(76)90024-7. Crossref, Web of Science, Google Scholar
J. Lemaitre, ASME J. Eng. Mater. Technol. 107, 83 (1985), DOI: 10.1115/1.3225775. Crossref, Web of Science, Google Scholar
J. Lemaitre, Comput. Meth. Appl. Mech. Eng. 51, 31 (1985), DOI: 10.1016/0045-7825(85)90026-X. Crossref, Web of Science, Google Scholar
J. Lemaitre and J. L. Chaboche , Mechanics of Solid Materials ( Cambridge University Press , 1990 ) . Crossref, Google Scholar
J. Lemaitre and R. Desmorat , Engineering Damage Mechanics , Ductile, Creep, Fatigue and Brittle Failures ( Springer-Verlag , Berlin , 2005 ) . Google Scholar
G. LeRoyet al., Acta Metall. 29, 1509 (1981). Crossref, Web of Science, Google Scholar
F. A. McClintock, ASME J. Appl. Mech. 35, 363 (1968). Crossref, Web of Science, Google Scholar
F. M. A. Pireset al., Int. J. Mech. Sci. 45, 273 (2003). Crossref, Web of Science, Google Scholar
J. R. Rice and D. M. Tracey, J. Mech. Phys. Solids 17, 201 (1969), DOI: 10.1016/0022-5096(69)90033-7. Crossref, Web of Science, Google Scholar
G. Rousselier, Nucl. Eng. Des. 105, 97 (1987), DOI: 10.1016/0029-5493(87)90234-2. Crossref, Web of Science, Google Scholar
W. H. Tai and B. X. Yang, Eng. Fract. Mech. 25, 377 (1986). Crossref, Web of Science, Google Scholar
C. Y. Tang, J. P. Fan and T. C. Lee, J. Mater. Process. Tech. 139, 510 (2003), DOI: 10.1016/S0924-0136(03)00528-4. Crossref, Web of Science, Google Scholar
V. Tvergaard and A. Needleman, Acta Metall. 32, 157 (1984). Crossref, Web of Science, Google Scholar
Varadhan, S. N. [1997] Dynamic Large Deformation Elasto-Plastic Analysis of Continua, Master's thesis, Department of Mechanical Engineering, IIT Kanpur . Google Scholar