Kinetic theory and the principle of material frame-indifference in the mechanics of continuous media

DOI10.1016/0021-8928(85)90048-6zbMath0605.73002OpenAlexW2050711784MaRDI QIDQ1083884

V. S. Galkin, V. I. Nosik

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90048-6

zbMATH Keywords

stressesinvariantChapman-Enskog methodheat fluxesBoltzmann's kinetic equationmaterial objectivityframe of referenceadditional inertial termsBarnett's approximationEuclidean transformationsmaterial frame- indifferencenon-stationay rotations and translationstransition from an inertial frame to a rotating frametransition from non-inertial to non-inertial

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (4)

Resistance matrix for a particle in a nonuniform gas flow ⋮ The principle of material frame-indifference and cylindrical Couette flow of a rarefied gas ⋮ Degeneracy of Chapman-Enskog series for the transport properties in the case of slow steady flows of weak rarefied gases ⋮ Gasdynamic equations of higher approximations of the Chapman-Enskog method. Review

Cites Work

• On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases
• On frame-indifference and iterative procedures in the kinetic theory of gases
• On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases
• 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
• Material indifference: A principle or a convenience
• On the frame dependence of stress and heat flux
• On the thermodynamics of nonlinear constitutive relations in gasdynamics
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