Skip to main content

Experiments and Numerical Simulations on Stress-State-Dependence of Ductile Damage Criteria

  • Chapter
  • First Online:

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 57))

Abstract

The paper deals with a series of new experiments and corresponding numerical simulations to be able to study the effect of stress state on damage behavior of ductile metals. In this context, a thermodynamically consistent anisotropic continuum damage model is presented. It takes into account the effect of stress state on damage and failure conditions as well as on evolution equations of damage strains. Different branches of the respective criteria are considered corresponding to various damage and failure mechanisms depending on stress intensity, stress triaxiality and the Lode parameter. Since it is not possible to propose and to validate stress-state-dependent criteria only based on tests with uniaxially loaded specimens for a wide range of stress states, new experiments with two-dimensionally loaded specimens have been developed. Corresponding numerical simulations of these experiments show that they cover a wide range of stress triaxialities and Lode parameters in the tension, shear and compression domains. The new series of experiments allow validation of stress-state-dependent functions for the damage criteria and are used to identify parameters of the continuum model.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Bai Y, Wierzbicki T (2008) A new model of metal plasticity and fracture with pressure and lode dependence. Int J Plast 24:1071–1096

    Article  MATH  Google Scholar 

  • Bao Y, Wierzbicki T (2004) On the fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46:81–98

    Article  Google Scholar 

  • Becker R, Needleman A, Richmond O, Tvergaard V (1988) Void growth and failure in notched bars. J Mech Phys Solids 36:317–351

    Article  Google Scholar 

  • Bonora N, Gentile D, Pirondi A, Newaz G (2005) Ductile damage evolution under triaxial state of stress: theory and experiments. Int J Plast 21:981–1007

    Article  MATH  Google Scholar 

  • Brocks W, Sun DZ, Hönig A (1995) Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic material. Int J Plast 11:971–989

    Article  MATH  Google Scholar 

  • Brünig M (2003a) An anisotropic ductile damage model based on irreversible thermodynamics. Int J Plast 19:1679–1713

    Article  MATH  Google Scholar 

  • Brünig M (2003b) Numerical analysis of anisotropic ductile continuum damage. Comput Methods Appl Mech Eng 192:2949–2976

    Article  MATH  Google Scholar 

  • Brünig M, Chyra O, Albrecht D, Driemeier L, Alves M (2008) A ductile damage criterion at various stress triaxialities. Int J Plast 24:1731–1755

    Article  MATH  Google Scholar 

  • Brünig M, Albrecht D, Gerke S (2011a) Modelling of ductile damage and fracture behavior based on different micro-mechanisms. Int J Damage Mech 20:558–577

    Article  Google Scholar 

  • Brünig M, Albrecht D, Gerke S (2011b) Numerical analyses of stress-triaxiality-dependent inelastic deformation behavior of aluminium alloys. Int J Damage Mech 20:299–317

    Article  Google Scholar 

  • Brünig M, Gerke S (2011) Simulation of damage evolution in ductile metals undergoing dynamic loading conditions. Int J Plast 27:1617–1998

    Article  Google Scholar 

  • Brünig M, Gerke S, Hagenbrock V (2013) Micro-mechanical studies on the effect of the stress triaxiality and the lode parameter on ductile damage. Int J Plast 50:49–65

    Article  Google Scholar 

  • Brünig M, Gerke S, Hagenbrock V (2014) Stress-state-dependence of damage strain rate tensors caused by growth and coalescence of micro-defects. Int J Plast 63:49–63

    Article  Google Scholar 

  • Chew H, Guo T, Cheng L (2006) Effects of pressure-sensitivity and plastic dilatancy on void growth and interaction. Int J Solids Struct 43:6380–6397

    Article  MATH  Google Scholar 

  • Driemeier L, Brünig M, Micheli G, Alves M (2010) Experiments on stress-triaxiality dependence of mterial behavior of aluminum alloys. Mech Mater 42:207–217

    Article  Google Scholar 

  • Dunand M, Mohr D (2011) On the predictive capabilities of the shear modified Gurson and the modified Mohr-Coulomb fracture models over a wide range of stress triaxialities and lode angles. J Mech Phys Solids 59:1374–1394

    Article  MATH  Google Scholar 

  • Gao X, Zhang G, Roe C (2010) A study on the effect of the stress state on ductile fracture. Int J Damage Mech 19:75–94

    Article  Google Scholar 

  • Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I—yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99:2–15

    Article  Google Scholar 

  • Kuna M, Sun D (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81:235–258

    Article  Google Scholar 

  • Lemaitre J (1996) A course on damage mechanics. Springer, Berlin

    Book  MATH  Google Scholar 

  • Mohr D, Henn S (2007) Calibration of stress-triaxiality dependent crack formation criteria: a new hybrid experimental-numerical method. Exp Mech 47:805–820

    Article  Google Scholar 

  • Needleman A, Kushner A (1990) An analysis of void distribution effects on plastic flow in porous solids. Eur J Mech A Solids 9:193–206

    Google Scholar 

  • Voyiadjis G, Kattan P (1999) Advances in damage mechanics: metals and metal matrix composites. Elsevier, Amsterdam

    MATH  Google Scholar 

  • Zhang K, Bai J, Francois D (2001) Numerical analysis of the influence of the lode parameter on void growth. Int J Solids Struct 38:5847–5856

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael Brünig .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Brünig, M., Gerke, S., Brenner, D. (2015). Experiments and Numerical Simulations on Stress-State-Dependence of Ductile Damage Criteria. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-14660-7_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14659-1

  • Online ISBN: 978-3-319-14660-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics