On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases

DOI10.1007/BF00282161zbMath0533.76077OpenAlexW2095887943MaRDI QIDQ789972

A. Ian Murdoch

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00282161

zbMATH Keywords

constitutive relationsintrinsic spinmaterial frame-indifferencerational mechanics

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Foundations of fluid mechanics (76A02)

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Galilean relativistic fluid mechanics, Kinetic theory and the principle of material frame-indifference in the mechanics of continuous media, More clarity on the concept of material frame-indifference in classical continuum mechanics, Modelling of Biomaterials as an Application of the Theory of Mixtures, The Einstein equivalence principle, intrinsic spin and the invariance of constitutive equations in continuum mechanics, Objectivity, kinetic theory, and extended irreversible thermodynamics, The principle of material frame-indifference and cylindrical Couette flow of a rarefied gas, A personal appreciation of Walter Noll, Invariance under superposed rigid body motions with constraints, Spacetime without reference frames: An application to the kinetic theory, Kinematic quantities of finite elastic and plastic deformation, On material frame-indifference, On criticism of the nature of objectivity in classical continuum physics, Objective fluxes in a multi-scale continuum description of sparse medium dynamics, On frame-indifference and form-invariance in constitutive theory, A corpuscular approach to continuum mechanics: Basic considerations

Cites Work

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• 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
• Superfluid mechanics for a high density of vortex lines
• Material indifference: A principle or a convenience
• Lectures on the foundation of continuum mechanics and thermodynamics
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• THE MOTIVATION OF CONTINUUM CONCEPTS AND RELATIONS FROM DISCRETE CONSIDERATIONS
• The Distribution of Molecular Velocities and the Mean Motion in a Non-Uniform Gas
• On material frame-indifference
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