The connection between the local rotation tensor and the strain tensor is investigated. Expressions for the derivatives of the components of the rotation tensor are derived, and they lead to new forms for the compatibility relations for finite strain. For two-dimensional deformations, it is shown that the rotation and the deformation field can be determined directly from the strains through line integrals.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 366
1973-6001
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112094
Copyright and License Information
Copyright 1973 Board of Trustees of the University of Illinois
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.
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