Advertisement

International Journal of Fracture

, Volume 201, Issue 2, pp 143–155 | Cite as

Geometry and material constraint effects on fracture resistance behavior of bi-material interfaces

  • K. Fan
  • G. Z. Wang
  • S. T. Tu
  • F. Z. Xuan
Original Paper

Abstract

The finite element method based on GTN ductile damage mechanics model has been used to investigate the interaction effects of geometry and material constraints on fracture resistance behavior of bi-material interfaces. The geometry constraint is changed by changing the specimen width W, and the material constraint is changed by changing the work hardening mismatch. The main findings of this work are that the material constraint effect on fracture resistance of bi-material interfaces is related to geometry constraint, and there exists interaction between them. For lower geometry constraint, the material constraint effect on fracture resistance is insignificant. Under the condition of middle geometry constraint, the material constraint effect on fracture resistance is the most significant. With further increasing geometry constraint, the fracture resistance behavior of the interfaces is gradually dominated by the higher geometry constraint, and the material constraint effect becomes weaken. These results are analyzed by the stress triaxiality levels ahead of crack tips and crack path deviation.

Keywords

Material constraint Geometry constraint Fracture resistance Bi-material interface Crack Stress triaxiality 

Notes

Acknowledgments

This work was financially supported by the Projects of the National Natural Science Foundation of China (51575184, 51375165, 51325504).

References

  1. An GB, Ohata M, Mochizuki M, Bang HS, Toyoda M (2005) Effect of strength mismatch on ductile crack initiation behavior from notch root under static loading. Key Eng Mater 297:756–761CrossRefGoogle Scholar
  2. ASTM E1820-08a (2008) Standard test method for measurement of fracture toughness. American Society of Testing and Materials, PhiladelphiaGoogle Scholar
  3. Brocks W, Schmitt W (1993) Second parameter in \(J\)\(R\) curves: constraint or triaxiality. In: Proceedings of the 1993 conference on constraint effects in fracture: theory and applications. ASTM, Dallas (USA)Google Scholar
  4. Burstow MC, Howard IC, Ainsworth RA (1998) The influence of constraint on crack tip stress fields in strength mismatched welded joints. J Mech Phys Solids 46:845–872CrossRefGoogle Scholar
  5. Benseddiq N, Imad A (2008) A ductile fracture analysis using a local damage model. Int J Press Vessel Pip 85:219–227CrossRefGoogle Scholar
  6. Cetinel H, Uyulgan B, Aksoy T (2004) The effect of yield strength mismatch on the fracture behavior of welded nodular cast iron. Mater Sci Eng 387:357–360CrossRefGoogle Scholar
  7. Cetinel H, Aksoy T (2008) The effect of undermatching on crack tip constraint in a welded structure of nodular irons. J Mater Proc Technol 198:183–190CrossRefGoogle Scholar
  8. Chu CC, Needleman A (1980) Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol 102:249–256CrossRefGoogle Scholar
  9. Dutta BK, Guin S, Sahu MK, Samal MK (2008) A phenomenological form of the \(\text{ q }_{2}\) parameter in the Gurson model. Int J Press Vessels Pip 85:199–210CrossRefGoogle Scholar
  10. Fan K, Wang GZ, Yang J, Xuan FZ, Tu ST (2015a) Numerical analysis of constraint and strength mismatch effects on local fracture resistance of bimetallic joints. AMM 750:24–31CrossRefGoogle Scholar
  11. Fan K, Wang GZ, Yang J, Xuan FZ, Tu ST (2015b) Effects of work hardening mismatch on fracture resistance behavior of bi-material interface regions. Mater Des 68:186–194CrossRefGoogle Scholar
  12. Fan K, Wang GZ, Yang J, Xuan FZ, Tu ST (2015c) Local fracture resistance behavior of interface regions in a dissimilar metal welded joint. Eng Frac Mech 136:279–291CrossRefGoogle Scholar
  13. Gurson AL (1997) Continuum theory of ductile rupture by void nucleation and growth: part I yield criteria and flow rules for porous ductile media. Eng Mater Tech 99:2–15CrossRefGoogle Scholar
  14. Kirk MT, Dodds RH (1992) The influence of weld strength mismatch on crack-tip constraints in single edge notch bend specimens. Report Univ. of Illinois Urbana, Structural Research Series No. 568Google Scholar
  15. Lee H, Kim YJ (2001) Interfacial crack-tip constraints and J-integral in plastically mismatched bi-materials. Eng Frac Mech 68:1013–1031CrossRefGoogle Scholar
  16. Lee H, Kim YJ (2007) Interfacial crack-tip constraints and J-integral for bi-materials with plastic hardening mismatch. Int J Fract 143:231–243CrossRefGoogle Scholar
  17. Li ZH, Guo WL (2002) The influence of plasticity mismatch on the growth coalescence of spheroidal voids on the biomaterial interface. Int J Plast 18:249–279CrossRefGoogle Scholar
  18. Morrison J, Gough JP (1989) Specimen size and orientation effects on the toughness of steel weldments. J Eng Mater Technol 111:270–277CrossRefGoogle Scholar
  19. Mathias LLS, Sarzosa DFB, Ruggieri C (2013) Effects of specimen geometry and loading mode on crack growth resistance curves of a high-strength pipeline girth weld. Int J Press Vessels Pip 111:106–119CrossRefGoogle Scholar
  20. Negre P, Steglich D, Brocks W (2005) Crack extension at an interface: prediction of fracture toughness and simulation of crack path deviation. Int J Fract 134:209–229CrossRefGoogle Scholar
  21. Negre P, Steglich D, Brocks W (2004) Crack extension in aluminium welds: a numerical approach using the Gurson–Tvergaard–Needleman model. Eng Fract Mech 71:2365–2383CrossRefGoogle Scholar
  22. Østby E, Zhang ZL, Thaulow C (2001) Constraint effect on the near tip stress fields due to difference in plastic work hardening for bi-material interface cracks in small scale yielding. Int J Fract 111:87–103CrossRefGoogle Scholar
  23. Østby E, Thaulow C, Zhang ZL (2007) Numerical simulation of specimen size and mismatch effects in ductile crack growth-Part I: tearing resistance and crack growth paths. Eng Frac Mech 74:1770–1792CrossRefGoogle Scholar
  24. Penuelas I, Betegon C, Rodriguez C (2006) A ductile failure model applied to the determination of the fracture toughness of welded joints. Numerical simulation and experimental validation. Eng Fract Mech 73:2756–2773CrossRefGoogle Scholar
  25. Ranestad Ø, Zhang ZL, Thaulow C (1999) Quantification of geometry and material mismatch constraint in steel weldments with fusion line cracks. Int J Fract 99:211–237CrossRefGoogle Scholar
  26. Rakin M, Medjo B, Gubeljak N, Sedmak A (2013) Micromechanical assessment of mismatch effects on fracture of high-strength low alloyed steel welded joints. Eng Frac Mech 109:221–235CrossRefGoogle Scholar
  27. Rakin M, Gubeljak N, Dobrojevic M, Sedmak A (2008) Modelling of ductile fracture initiation in strength mismatched welded joint. Eng Fract Mech 75:3499–3510CrossRefGoogle Scholar
  28. Shi YW, Han ZX (1993) The effects of crack depth on the J-integral and CTOD fracture toughness for welded bend specimens. Fatigue Fract Eng Mater Struct 16:281–287CrossRefGoogle Scholar
  29. Shi YW, Sun SY (1997) Geometry effect of welded joints on failure assessment curves. Int J Press Vessels Pip 74:71–76CrossRefGoogle Scholar
  30. Sun HM, Wang GZ, Xuan FZ (2009) Numerical simulation of the ductile crack growth in a weld joint. In: Proceedings of 12th international conference on pressure vessel technology, Jeju, KoreaGoogle Scholar
  31. Samal MK, Balani K, Seidenfuss M (2009) An experiment and numerical investigation of fracture resistance behavior of a dissimilar metal welded joint. Mech Eng Sci 223:1507–1522CrossRefGoogle Scholar
  32. Tang W, Shi YW (1986) Influence of crack depth and strength matching on deformation and plastic zone for welded joint specimen. Int J Fract 74:77–87CrossRefGoogle Scholar
  33. Tvergaard V (1982) On localization in ductile materials containing spherical voids. Int J Fract 18:237–252Google Scholar
  34. Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32:157–169CrossRefGoogle Scholar
  35. Wang HT, Wang GZ, Xuan FZ, Tu ST (2011) Numerical investigation of ductile crack growth behavior in a dissimilar metal welded joint. Nucl Eng Des 241:3234–3243CrossRefGoogle Scholar
  36. Wang HT, Wang GZ, Xuan FZ, Liu CJ, Tu ST (2103a) Local mechanical properties of a dissimilar metal welded joint in nuclear power systems. Mater Sci Eng 568:108–117CrossRefGoogle Scholar
  37. Wang HT (2013) Mechanical property and local fracture behavior of dissimilar metal welded joint in nuclear power. Ph.D. Thesis, East China University of Science and TechnologyGoogle Scholar
  38. Wang HT, Wang GZ, Xuan FZ, Tu ST (2013b) An experimental investigation of local fracture resistance and crack growth paths in a dissimilar metal welded joint. Mater Des 44:179–189CrossRefGoogle Scholar
  39. Yang J, Wang GZ, Xuan FZ, Tu ST, Liu CJ (2014a) An experimental investigation of in-plane constraint effect on local fracture resistance of a dissimilar metal welded joint. Mater Des 53:611–619CrossRefGoogle Scholar
  40. Yang J, Wang GZ, Xuan FZ, Tu ST, Liu CJ (2014b) Out-of-plane constraint effect on local fracture resistance of a dissimilar metal welded joint. Mater Des 55:542–550CrossRefGoogle Scholar
  41. Younise B, Sedmak A, Rakin M, Gubeljak N, Medjo B, Burzic M et al (2012) Micromechanical analysis of mechanical heterogeneity effect on the tearing of weldments. Mater Des 37:193–201CrossRefGoogle Scholar
  42. Yoshida K (1990) Fracture toughness of weld metals in steel piping for nuclear power plants. Int J Press Vessels Pip 43:273–284CrossRefGoogle Scholar
  43. Zhang ZL, Hauge M, Thaulow C (1996) Two-parameter characterization of the near-tip stress fields for a bi-material elastic–plastic interface crack. Int J Fract 79:65–83CrossRefGoogle Scholar
  44. Zerbst U, Ainsworth RA, Beier HTh, Pisarski H, Zhang ZL, Nikbin K et al (2014) Review on fracture and crack propagation in weldments—a fracture mechanics perspective. Eng Fract Mech 132:200–276CrossRefGoogle Scholar
  45. Zhang ZL, Thaulow C, Ødegard J (2000) A complete Gurson model approach for ductile fracture. Eng Fract Mech 67:155–168CrossRefGoogle Scholar
  46. Zhang ZL (1996) A sensitivity analysis of material parameters for the Gurson constitutive model. Fatigue Fract Eng Mater Struct 19:561–570CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Key Laboratory of Pressure Systems and Safety, Ministry of EducationEast China University of Science and TechnologyShanghaiChina

Personalised recommendations