Skip to main content

Numerical Applications in Damage Induced Anisotropy in Low-Cycle Fatigue Modeling for Metals

  • Reference work entry
  • First Online:
Handbook of Damage Mechanics
  • 5153 Accesses

Abstract

Qualitative and quantitative studies are made emphasizing the concept of damage-induced anisotropy using the micromechanical model proposed shown in Chap. 11, “Ductile Damage Behavior in Low-Cycle Fatigue for Polycrystalline Metallic Materials.” The model deals with the plastic strain and local damage variables. In fact, they are examined at the crystallographic slip scale for FCC metallic polycrystals. The elastic behavior is initially assumed to be compressible and isotropic determined at the macroscopic scale. Due to the activation/deactivation concept, the anisotropic damaged behavior is adopted using a fourth-order damage tensor at the overall scale. Consequently, the overall nonlinear behavior, notably the deactivation phase due to microcracks closure under complex cyclic loadings, is of particular interest in this chapter.

The model ability is demonstrated by a host of plastic predicted damaged behaviors of metallic polycrystals focusing on the unilateral damage and loading path effects on the multiaxial low-cycle fatigue (LCF) behavior. Actually, the model is tested under strain- and stress-controlled conditions describing the effects of the loading path complexity and the mean stress on the polycrystal LCF behavior. Finally, the model can successfully describe the LCF behavior of the Waspaloy at room temperature.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 649.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 549.99
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

Institutional subscriptions

References

  • A. Abdul-Latif, M. Chadli, Modeling of the heterogeneous damage evolution at the granular scale in polycrystals under complex cyclic loadings. Int. J. Damage Mech. 16, 133 (2007)

    Article  Google Scholar 

  • A. Abdul-Latif, T.B.S. Mounounga, Damage deactivation modeling under multiaxial cyclic loadings for polycrystals. Int. J. Damage Mech. 18, 177–198 (2009)

    Article  Google Scholar 

  • A. Abdul-Latif, K. Saanouni, Damaged anelastic behavior of FCC polycrystalline metals with micromechanical approach. Int. J. Damage Mech. 3, 237 (1994)

    Article  Google Scholar 

  • A. Abdul-Latif, K. Saanouni, Micromechanical modeling of low cyclic fatigue under complex loadings-part II. Applications. Int. J. Plast. 12, 1123 (1996)

    Article  Google Scholar 

  • A. Abdul-Latif, V. Ferney, K. Saanouni, Fatigue damage of Waspaloy under complex loading. ASME J. Eng. Mater. Technol. 121, 278 (1999)

    Article  Google Scholar 

  • J.L. Chaboche, Une nouvelle condition unilatérale pour décrire le comportement des matériaux avec dommage anisotrope. C. R. Acad. Sci. Paris t. 314(Série II), 1395 (1992)

    Google Scholar 

  • J.L. Chaboche, Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage. Int. J. Damage Mech. 3, 311 (1993)

    Article  Google Scholar 

  • M. Chadli, A. Abdul-Latif, Meso-damage evolution in polycrystals. ASME J. Eng. Mat. Tech 127, 214 (2005)

    Article  Google Scholar 

  • M. Clavel, P. Pilvin, R. Rahouadj, Analyse microstructurale de la déformation plastique sous sollicitations non proportionnelles dans un alliage base nickel. C. R. Acad. Sci. Paris 309, 689 (1989)

    Google Scholar 

  • D. Halm, A. Dragon, A model of anisotropic damage by mesocrack growth; unilateral effect. Int. J. Damage Mech. 5, 384 (1996)

    Article  Google Scholar 

  • N.R. Hansen, H.L. Schreyer, Damage deactivation. ASME J. Appl. Mech. 62, 450 (1995)

    Article  Google Scholar 

  • J.W. Ju, On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects. Int. J. Solids Struct. 25, 803 (1989)

    Article  MATH  Google Scholar 

  • L.M. Kachanov, Introduction to Continuum Damage Mechanics (Martinus Nijhoff, Dordrecht, 1986)

    Book  MATH  Google Scholar 

  • D. Krajcinovic, G.U. Fonseka, Continuous damage theory of brittle materials. J. Mech. 48, 809 (1981)

    MATH  Google Scholar 

  • P. Ladevèze, J. Lemaitre, Damage Effective Stress in Quasi-Unilateral Material Conditions (IUTAM Congress, Lyngby, 1984)

    Google Scholar 

  • J. Lemaître, A Course on Damage Mechanics (Springer, Berlin, 1992)

    Book  MATH  Google Scholar 

  • J. Lemaître, J.L. Chaboche, Mechanics of Solids Materials (Cambridge University Press, Cambridge, 1990)

    Book  Google Scholar 

  • J. Mazars, G. Pijaudier-Cabot, Continuum damage theory-application to concrete. J. Eng. Mech. 115, 345 (1989)

    Article  Google Scholar 

  • T.B.S. Mounounga, A. Abdul-Latif, D. Razafindramary, Damage induced-oriented anisotropy behavior of polycrystals under complex cyclic loadings. Int. J. Mech. Sci. 53(4), 271–280 (2011)

    Article  Google Scholar 

  • M. Ortiz, A constitutive theory for the inelastic behavior of concrete. Mech. Mater. 4, 67 (1985)

    Article  Google Scholar 

  • S. Ramtani, Conribution à la Modélisation du Comportement Multiaxial du Béton Endommagé avec Description un Caractère Unilatéral. Thèse de Doctorat, Université Paris VI, 1990

    Google Scholar 

  • K. Saanouni, A. Abdul-Latif, Micromechanical modeling of low cycle fatigue under complex loadings-part I. Theoretical formulation. Int. J. Plast. 12, 1111 (1996)

    Article  MATH  Google Scholar 

  • G.Z. Voyiadjis, P. Kattan, Advances in Damage Mechanics: Metals and Metal Matrix Composites (Elsevier, Oxford, 1999). 542 p

    MATH  Google Scholar 

  • S. Yazdani, S. Karnawat, Mode I damage modeling in brittle preloading. Int. J. Damage Mech. 6, 153 (1997)

    Article  Google Scholar 

  • S. Yazdani, H.L. Schreyer, Combined plasticity and damage mechanics model for plain concrete. ASCE J. Eng. Mech. 116, 1435 (1990)

    Article  Google Scholar 

Download references

Acknowledgments

This is certainly not a classical acknowledgments, nonetheless it is in memory of a friend and ex-Ph.D. student Blondin Mounounga, since a part of the present effort has been developed with him.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Akrum Abdul-Latif .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer Science+Business Media New York

About this entry

Cite this entry

Abdul-Latif, A. (2015). Numerical Applications in Damage Induced Anisotropy in Low-Cycle Fatigue Modeling for Metals. In: Voyiadjis, G. (eds) Handbook of Damage Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5589-9_43

Download citation

Publish with us

Policies and ethics