The Einstein equivalence principle, intrinsic spin and the invariance of constitutive equations in continuum mechanics
type: Item
instance of: scholarly article
title: The Einstein equivalence principle, intrinsic spin and the invariance of constitutive equations in continuum mechanics
zbMATH Open document ID: 0631.73001
DOI: 10.1016/0020-7225(88)90106-1
author: C. G. Speziale
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The invariance of constitutive equations in continuum mechanics is examined from a basic theoretical standpoint. It is demonstrated that constitutive equations which are not form invariant under arbitrary translational accelerations of the reference frame are in violation of the Einstein equivalence principle. Furthermore, by making use of an analysis based on statistical mechanics, it is argued that any frame- dependent terms in constitutive equations must arise from the intrinsic spin tensor and are negligible provided that the ratio of microscopic to macroscopic time scales is extremely small. The consistency of these results with existing constitutive theories is discussed in detail along with possible avenues of future research.
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 82B30
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 74Axx
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 4026891
zbMATH Keywords: invariance
zbMATH Keywords: arbitrary translational accelerations of the reference frame
zbMATH Keywords: Einstein equivalence principle
zbMATH Keywords: statistical mechanics
zbMATH Keywords: frame-dependent terms
zbMATH Keywords: intrinsic spin tensor
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90106-1
OpenAlex ID: W2023311844
cites work: On the frame dependence of stress and heat flux
cites work: Material indifference: A principle or a convenience
cites work: On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases
cites work: Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame- indifference
cites work: On frame-indifference and iterative procedures in the kinetic theory of gases
cites work: Q3315085
cites work: Q3315087
cites work: Frame-indifferent kinetic theory
cites work: On the invariance of constitutive equations according to the kinetic theory of gases
cites work: Q6133405
cites work: Q5839523
cites work: On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases
description: scientific article; zbMATH DE number 4026891