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

Socpus ID

0242583051 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0242583051

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