Skip to main content

Constitutive Modeling of Viscoplastic Damage in Solder Material

  • Conference paper
IUTAM Symposium on Creep in Structures

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 86))

Abstract

This paper presents a constitutive modeling of viscoplastic damage in 63Sn-37Pb solder material taking into account the effects of micro-structural change in grain coarsening. Based on the theory of damage mechanics, a two-scalar damage model is developed by introducing the damage variables and the free energy equivalence principle. An inelastic potential function based on the concept of inelastic damage energy release rate is proposed and used to derive an inelastic damage evolution equation.

The validation of the model is carried out for the viscoplastic material by predicting monotonic tensile behavior and tensile creep curves at different temperatures. The softening behavior of the material under monotonic tension loading can be characterized with the model. The results demonstrate adequately the validity of the proposed viscoplastic constitutive modeling for the solder material.

This work was supported by the United States Department of Energy under Contract DE-AC04-94AL85000. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

  • Basaran, C. and Yan, C.Y. (1998) A thermodynamic framework for damage mechanics of solder joints, Journal of Electronic Packaging 120, 379–384.

    Article  Google Scholar 

  • Busso, E. P., Kitano, M. and Kumazawa, T. (1994) Modeling complex inelastic deformation processes in IC packages’ solder joints, Journal of Electronic Packaging 116, 6–15.

    Article  Google Scholar 

  • Chow, C.L. and Wei, Y. (1999) Constitutive modeling of material damage for fatigue failure prediction, International Journal of Damage Mechanics 8, 355–375.

    Article  Google Scholar 

  • Frear, D. R., Burchett, S. N., Neilsen, M. K. and Stephens, J. J. (1997) Microstnicturally based finite element simulation of solder joint behaviour, Soldering & Surface Mount Technology 2, 39–42.

    Article  Google Scholar 

  • Lau, J. H. and Pao, Y. H. (1997) Solder Joint Reliability of BGA, CSP, Flip Chip, and Fine Pitch SMT Assemblies, McGraw-Hill.

    Google Scholar 

  • More, J.J. (1978) The Levenburg-Marquardt algorithm: implementation and theory, Lecture Notes in Mathematics 630, edited by Watson, G.A., Springer-Verlag.

    Google Scholar 

  • McDowell, D. L., Miller, M. P. and Brooks, D. C. (1994) A unified creep-plasticity theory for solder alloys, Fatigue of Electronic Materials, ASTM STP 1153, 42–59.

    Article  Google Scholar 

  • Qian, Z., Ren, W. and Liu, S. (1999) A damage coupling framework of unified viscoplasticity for the fatigue of solder alloys, Journal of Electronic Packaging 121, 162–168.

    Article  Google Scholar 

  • Shi, X.Q., Zhou, W., Pang, H.L.J. and Wang, Z.P. (1999) Effect of temperature and strain rate on mechanical properties of 63Sn/37Pb solder alloy, Journal of Electronic Packaging 121, 179–185.

    Article  Google Scholar 

  • Shine, M. C. and Fox, L. R. (1994) Fatigue of solder joints in surface mount devices, Low Cycle Fatigue, ASTM STP 942, 588–610.

    Google Scholar 

  • Solomon, H. D. (1986) Creep, strain rate sensitivity and low cycle fatigue of 60/40 solder, Brazing and Soldering 11, 68–75.

    Google Scholar 

  • Wei, Y., Chow, C.L., Fang, H.E. and Neilsen, M.K. (1999) Characteristics of creep damage for 60Sn-40Pb solder material, ASME 99-IMECE/EEP-15.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Wei, Y., Chow, C.L., Neilsen, M.K., Fang, H.E. (2001). Constitutive Modeling of Viscoplastic Damage in Solder Material. In: Murakami, S., Ohno, N. (eds) IUTAM Symposium on Creep in Structures. Solid Mechanics and its Applications, vol 86. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9628-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9628-2_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5623-8

  • Online ISBN: 978-94-015-9628-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics