PSI - Issue 21

Tuncay Yalҫinkaya et al. / Procedia Structural Integrity 21 (2019) 46– 51

51

6

T. Yalc¸inkaya el al. / Structural Integrity Procedia 00 (2019) 000–000

Pore fraction vs Engineering Strain - Necking Simulation

Engineering Stress vs Strain - Necking Simulation

1

300

p

= 0.001

0

p

= 0.01

0

250

0.8

p 0 = 0.001 with material point deletion at p=0.1

200

0.6

150

0.4

Pore fraction

100

J2 plasticity Porous model, p 0

= 0.001

0.2

Engineering Stress [MPa] Porous model, p 0

= 0.01 Porous model with material point deletion at p=0.1, p 0

50

= 0.001

0

0

0

0.05

0.1

0.15

0.2

0.25

0.3

0

0.05

0.1

0.15

0.2

0.25

0.3

Engineering Strain

Engineering Strain

Fig. 5. Engineering stress-strain response of the necking specimen through both J2 and porous plasticity models at two di ff erent initial pore fractions (left), evolution of the porosity at the middle of the necking region (right)

experimental comparison. The simple representation of the model and the lack of material parameters o ff er a good potential for the use in ductile damage and fracture simulations.

Acknowledgements

Tuncay Yalc¸inkaya gratefully acknowledges the support by the Scientific and Technological Research Council of Turkey (TU¨ B ˙ITAK) under the 3501 Programme (Grant No. 117M106).

References

Abaqus, 2014. The Abaqus documentation collection, version 6.14. Dassault Syste`mes, Providence, Rhode Island . Benzerga, A.A., Leblond, J.B., 2013. E ff ective Yield Criterion Accounting for Microvoid Coalescence. Journal of Applied Mechanics 81. Cocks, A., 1989. Inelastic deformation of porous materials. Journal of the Mechanics and Physics of Solids 37, 693 – 715. Gurson, A.L., 1977. Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media. Journal of Engineering Materials and Technology 99, 2–15. Hancock, J., Brown, D., 1983. On the role of strain and stress state in ductile failure. Journal of the Mechanics and Physics of Solids 31, 1 – 24. Hancock, J., Mackenzie, A., 1976. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. Journal of the Mechanics and Physics of Solids 24, 147 – 160. Koplik, J., Needleman, A., 1988. Void growth and coalescence in porous plastic solids. International Journal of Solids and Structures 24, 835 – 853. Lin, R., Steglich, D., Brocks, W., Betten, J., 2006. Performing rve calculations under constant stress triaxiality for monotonous and cyclic loading. International Journal for Numerical Methods in Engineering 66, 1331 – 1360. McClintock, F.A., 1968. A Criterion for Ductile Fracture by the Growth of Holes. Journal of Applied Mechanics 35, 363–371. Needleman, A., 1972. Void Growth in an Elastic-Plastic Medium. Journal of Applied Mechanics 39, 964–970. Pardoen, T., Hutchinson, J., 2000. An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids 48, 2467 – 2512. Rice, J., Tracey, D., 1969. On the ductile enlargement of voids in triaxial stress fields. Journal of the Mechanics and Physics of Solids 17, 201 – 217. Scheyvaerts, F., Pardoen, T., Onck, P., 2010. A new model for void coalescence by internal necking. International Journal of Damage Mechanics 19, 95–126. Simo, J., Hughes, T., 2000. Computational Inelasticity. Interdisciplinary Applied Mathematics, Springer New York. Tekoglu, C., 2014. Representative volume element calculations under constant stress triaxiality, lode parameter, and shear ratio. International Journal of Solids and Structures 51, 4544 – 4553. Tvergaard, V., 1981. Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture 17, 389–407. Tvergaard, V., 1982. On localization in ductile materials containing spherical voids. International Journal of Fracture 18, 237–252. Tvergaard, V., 1989. Material failure by void growth to coalescence, Elsevier. volume 27 of Advances in Applied Mechanics , pp. 83 – 151. Tvergaard, V., Needleman, A., 1984. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica 32, 157 – 169.

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