Skip to main content

Heterogeneous Nucleation in a 2-D Model of Martensitic Transformation with Volume Changes

  • Conference paper
IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 101))

  • 335 Accesses

Abstract

We study domain pattern formation in a 2-D square to rectangle martensitic transformation using a time-dependent Ginzburg-Landau model. The model is based on a free energy in terms of the deviatoric, bulk and shear components of the strain tensor. In this work, we include a coupling between the deviatoric and bulk strains that allows for volume changes of the unit cell. An effective free energy in terms of deviatoric strains is constructed by eliminating the bulk and shear strains subject to the elastic compatibility relations. Heterogeneous nucleation is studied by considering randomly distributed stress centers that represent crystal defects. Computer simulations of the model reveal that the stress centers nucleate product phase domains that grow only in finite size. Hence, there is always some retained parent phase at the end of the transformation.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Olson G. B. and Owen W. S., Editors, (1992) Martensite, ASM International.

    Google Scholar 

  2. Wang, Y. and Khachaturyan, A.G. (1997) Three-dimensional field model and computer modeling of martensitic transformations, Acta Materialia 45,759–773.

    Article  Google Scholar 

  3. Shenoy, S.R., Lookman, T., Saxena A. and Bishop, A.R. (1999) Martensitic textures: Multiscale consequences of Elastic Compatibility, Phys.Rev. B 60, R12537-R12541.

    Article  ADS  Google Scholar 

  4. Ahluwalia, R. and Ananthakrishna, G. (2001) Power-Law Statistics of Avalanches in a Martensitic Transformation, Phys. Rev. Lett. 86, 4076–4079.

    Article  ADS  Google Scholar 

  5. Barsch, G.R. and Krumhansl, J. A. (1984) Twin Boundaries in Ferroelastic Media without Interface Dislocations, Phys. Rev. Lett 53, 1069–1072

    Article  ADS  Google Scholar 

  6. Kartha, S., Krumansl, J.A., Sethna, J.P., Wickham, L. (1995) Disorder driven Pretransitional Tweed Patterns in Martensitic Transformations, Phys. Rev. B 52,803–822.

    Article  ADS  Google Scholar 

  7. Cao, W.W. and Krumhansl, J. A. (1990) Defect-Induced Heterogeneous Transformations and Thermal Growth in Athermal Martensite, Phys. Rev. B 41, 11319–11327.

    Article  ADS  Google Scholar 

  8. Bales, G.S. and Gooding, R.J. (1991) Interfacial Dynamics at a First-Order Phase Transition involving Strain-Dynamic Twin formation, Phys. Rev. Lett. 67,3412–3415.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Cao, W., Ahluwalia, R. (2002). Heterogeneous Nucleation in a 2-D Model of Martensitic Transformation with Volume Changes. In: Sun, Q.P. (eds) IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids. Solid Mechanics and Its Applications, vol 101. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0069-6_26

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0069-6_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6071-6

  • Online ISBN: 978-94-017-0069-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics