Journal ArticleDOI
Some issues in constitutive modeling
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In this article, the entropy production inequality in the modeling of large scale motions and the uncertainty involved in formulating such an inequality as a constraint in developing constitutive relations is discussed, and the use of Lagrangian frames and reference configurations and related questions concerning the development of a constitutive model for turbulent flows of a fluid, on the basis of laminar flows of that fluid, is discussed.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2004-06-01. It has received 7 citations till now. The article focuses on the topics: Constitutive equation.read more
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On the representation of turbulent stresses for computing blood damage
TL;DR: This study investigates the error introduced by using Reynolds stress as an estimation of the total stress causing damage to the blood cells, and shows that energy dissipation is a more appropriate metric of blood trauma.
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On the response of non-dissipative solids
Kumbakonam R. Rajagopal,L. Tao +1 more
TL;DR: In this article, a relative deformation gradient tensor is derived from the second law of thermodynamics and the Cauchy stress is derived for non-dissipative solids.
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On the propagation of waves through porous solids
Kumbakonam R. Rajagopal,L. Tao +1 more
TL;DR: In this paper, Biot's model for the propagation of acoustic waves in a material such as cohensionless sand, infused with a fluid, within the context of mixture theory is reexamine.
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On constitutive equations for thermoelastic dielectric continuum in terms of invariants
TL;DR: In this paper, the authors investigated the behavior of a thermoelastic dielectric body subject to external loading, and derived constitutive equations of symmetric stress, polarization field and heat flux vector in both material and spatial coordinates.
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Flow of a mixture of a viscous fluid and a granular solid in an orthogonal rheometer
TL;DR: In this paper, the flow of a linearly viscous fluid and a granular solid, consisting of many particles, situated between two parallel plates rotating about different axes, is studied using the theory of interacting continua, and constitutive relations for the fluid phase, the granular phase, and the interaction forces are provided.
References
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General Theory of Three‐Dimensional Consolidation
TL;DR: In this article, the number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three-dimensional problems.
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Mechanics of deformation and acoustic propagation in porous media
TL;DR: In this paper, a unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived, including anisotropic media, solid dissipation, and other relaxation effects.