Skip to main content

Abstract

As pointed out in Sect. 1.7, the viscoelastic functions of many materials depend strongly on temperature. The simplest realistic way of incorporating this dependence is to assume that the material is thermorheologically simple (TRS) in the sense defined in Sect. 1.7. This implies a non-linear dependence on the temperature field which renders the solution of most problem categories very difficult, in particular those where the temperature field is not given a priori but must be determined as part of the solution. A way out of this is to adopt a fully linear theory, as developed for example by Christensen (1982), Chap. 3. The assumption behind such a theory is that the effects of temperature variation on the viscoelastic functions is sufficiently small that its product with the field variables can be neglected. In many cases, this is very restrictive on the allowed range of temperature variation. A fully linear theory will not be considered here. We remark however that such a theory is susceptible to treatment by the Correspondence Principle-based methods, discussed in Chap. 2.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook
USD 9.99
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

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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Golden, J.M., Graham, G.A.C. (1988). Thermoviscoelastic Boundary Value Problems. In: Boundary Value Problems in Linear Viscoelasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06156-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-06156-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-06158-9

  • Online ISBN: 978-3-662-06156-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics