Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-28T04:24:03.541Z Has data issue: false hasContentIssue false

9 - Stress and deformation

Published online by Cambridge University Press:  20 December 2019

Roger LeB. Hooke
Affiliation:
University of Maine, Orono
Get access

Summary

At any point in a glacier, there are three normal and six shear stresses.Coordinate axes can be chosen so that the shear stresses vanish. The remaining normal stresses are known as the principal stresses. Certain combinations of the stresses do not vary with the orientation of the coordinate axes. These are known as invariants of the stress tensor. The second invariant is one half the sum of squares of all nine stresses in the tensor. This stress is used in the common flow law for ice, so the deformation rate depends on all the stresses acting, not just on those acting in the direction of the deformation.Balancing forces on an element of ice at a point leads to an equation for the conservation of linear momentum. The strain along a line is defined as the change in length per unit length. There are also three normal and six shear strain rates. Again, axes can be chosen so that the shear strain rates disappear.The remaining normal strain rates are called the principal strain rates.In an isotropic material the principal axes of stress and strain rate coincide. Ice is commonly assumed to be isotropic for purposes of theoretical calculations, although this is clearly not true.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Stress and deformation
  • Roger LeB. Hooke, University of Maine, Orono
  • Book: Principles of Glacier Mechanics
  • Online publication: 20 December 2019
  • Chapter DOI: https://doi.org/10.1017/9781108698207.012
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Stress and deformation
  • Roger LeB. Hooke, University of Maine, Orono
  • Book: Principles of Glacier Mechanics
  • Online publication: 20 December 2019
  • Chapter DOI: https://doi.org/10.1017/9781108698207.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Stress and deformation
  • Roger LeB. Hooke, University of Maine, Orono
  • Book: Principles of Glacier Mechanics
  • Online publication: 20 December 2019
  • Chapter DOI: https://doi.org/10.1017/9781108698207.012
Available formats
×