Title
On Stresses Conjugate To Eulerian Strains
Abstract
A stress is considered conjugate to a strain if the product of the stress and an objective rate of the strain has a trace which is equal to the rate of work per unit volume. Using Kronecker product relations, apparently new expressions for stresses conjugate to the Finger strain B, the Euler strain ∃, the Eulerian (right) stretch tensor V, and log(V) are determined. In addition, a nonclassical strain ∋ is introduced which permits a constitutive equation expressing its Truesdell rate in terms of B and the Truesdell rate of the Cauchy stress.
Publication Date
10-1-2003
Publication Title
Acta Mechanica
Volume
165
Issue
1-2
Number of Pages
87-98
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00707-003-0037-2
Copyright Status
Unknown
Socpus ID
0242583051 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0242583051
STARS Citation
Nicholson, D. W., "On Stresses Conjugate To Eulerian Strains" (2003). Scopus Export 2000s. 1567.
https://stars.library.ucf.edu/scopus2000/1567