Skip to main content

Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium

  • Chapter
  • 407 Accesses

Abstract

Stresses induced by thermal mismatch are known to be a major cause of failure in a wide variety of composite materials and devices ranging from metal-ceramic composites to passivated interconnect lines in integrated circuits. One of the most effective procedures used to reduce these thermal stresses is the addition of a compliant intermediate or interphase layer between the different material components. In this chapter, we use the homogeneously imperfect interface model [1] to study the effect of a compliant interphase layer on thermal stresses in an elliptic elastic inclusion embedded within an infinite matrix under a uniform change in temperature. Both elastic mismatch and thermal mismatch will be considered.

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   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Shen, P. Schiavone, C.Q. Ru, and A. Mioduchowski, Effects of a compliant interphase layer on thermal stresses within an elliptic inhomogeneity in an elastic medium, J. Appl. Math. Phys. (ZAMP) 52 (2001), 317–341.

    Article  MATH  Google Scholar 

  2. N.L Muskhelishvili, Some basic problems of the mathematical theory of elasticity, Noordhoff, Groningen, 1963.

    MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media New York

About this chapter

Cite this chapter

Shen, H., Schiavone, P., Ru, C.Q., Mioduchowski, A. (2002). Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium. In: Constanda, C., Schiavone, P., Mioduchowski, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0111-3_36

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0111-3_36

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6617-4

  • Online ISBN: 978-1-4612-0111-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics