On the local measures of mean rotation in continuum mechanics

✍ Scribed by Luiz C. Martins; P. Podio-Guidugli

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 485 KB
• Volume: 27
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041690

✦ Synopsis

We implement Cauchy's concept of a rotation-angle function on an oriented plane, and characterize situations when a rotation-angle function exists, and hence when measuring mean rotations in the manner of Cauchy or Novozhilov makes sense. We also discuss in passing the role of the skew part of the deformation gradient in measuring the mean deformation.