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A note on the reference frame indifference
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In this paper, a reexamination of the definition of frame indifference, as it is expressed mathematically, is presented, and a number of frame indifferent constitutive equations are given to illustrate the concepts presented here.Abstract:
In the recent years a controversy has appeared in the literature in reference to the frame indifference of certain tensorial expressions. In this paper a reexamination of the definition of frame indifference, as it is expressed mathematically, is presented. It is emphasized that frame indifference cannot be examined before a choice of reference frame is made. Finally, a number of frame indifferent constitutive equations are given to illustrate the concepts presented here.read more
Citations
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On the importance of material frame-indifference and lift forces in multiphase flows
TL;DR: In this article, the importance of the principle of material frame-indifference in multiphase flows is discussed and a general constitutive relation which is frame-invariant and general enough to be used in many applications is derived.
A model for the estimation of residual stresses in soft tissues
TL;DR: Sunnie Joshi et al. as discussed by the authors developed a mathematical tool for the estimation of residual stress field in an elastic body that has mechanical properties similar to that of the arterial wall, by making use of intravascular ultrasound (IVUS) imaging techniques.
References
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Book
Introduction to the mechanics of a continuous medium
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Journal ArticleDOI
Some remarks on elastic-plastic deformation at finite strain
A. E. Green,P. M. Naghdi +1 more
TL;DR: The limitations of this theory and its relationship to the more general thermodynamical theory of Green and Naghdi has not been made clear as discussed by the authors, and the present paper is intended to provide the needed clarifications.
Journal ArticleDOI
A discussion of stress rates in finite deformation problems
G. C. Johnson,Douglas J. Bammann +1 more
TL;DR: In this paper, it was shown that the use of the Jaumann rate in the generalization of the infinitesimal theory leads to an oscillation in the evolution of the yield surface in simple shear which is explained on the basis of the hypoelastic solution.